From 9e9600833c1d618fcc47e166210250eee5aa9632 Mon Sep 17 00:00:00 2001 From: springcoil Date: Wed, 2 Nov 2016 12:30:20 +0000 Subject: [PATCH] adding files --- ...lizing_flow_beta_binomial-checkpoint.ipynb | 178 +++- ...ility_normalizing_flow_2-checkpoint.ipynb} | 145 +--- pymc3_normalizing_flow_beta_binomial.ipynb | 178 +++- stochastic_volatility_normalizing_flow.ipynb | 779 ----------------- ...hastic_volatility_normalizing_flow_2.ipynb | 780 ++++++++++++++++++ 5 files changed, 1070 insertions(+), 990 deletions(-) rename .ipynb_checkpoints/{stochastic_volatility_normalizing_flow-checkpoint.ipynb => stochastic_volatility_normalizing_flow_2-checkpoint.ipynb} (86%) delete mode 100755 stochastic_volatility_normalizing_flow.ipynb create mode 100755 stochastic_volatility_normalizing_flow_2.ipynb diff --git a/.ipynb_checkpoints/pymc3_normalizing_flow_beta_binomial-checkpoint.ipynb b/.ipynb_checkpoints/pymc3_normalizing_flow_beta_binomial-checkpoint.ipynb index 09ab2f1..13633a6 100755 --- a/.ipynb_checkpoints/pymc3_normalizing_flow_beta_binomial-checkpoint.ipynb +++ b/.ipynb_checkpoints/pymc3_normalizing_flow_beta_binomial-checkpoint.ipynb @@ -7,14 +7,96 @@ }, "source": [ "# Table of Contents\n", - "

1  Normalizing flow in PyMC3
1.1  Limitation of meanfield ADVI
1.2  A beta-binomial model for overdispersion
1.2.1  MCMC
1.2.2  Gaussian meanfield ADVI
1.3  Normalizing flow
1.3.1  Interface
1.3.2  Inverse autoregressive flow
1.3.3  Masked autoencoder (MADE)
1.3.4  Test logdet of the Jacobian of IAF
1.3.5  ADVI with IAF
1.4  References
" + "

1  Advanced Variational Bayesian techniques in PyMC3
1.1  Autoencoding variational Bayes
1.2  Uses
1.3  Limitations
1.4  Normalized flows
1.4.1  Variational Approximation
1.4.2  Normalizing flows
1.5  Limitation of meanfield ADVI
1.6  A beta-binomial model for overdispersion
1.6.1  MCMC
1.6.2  Gaussian meanfield ADVI
1.7  Normalizing flow
1.7.1  Interface
1.7.2  Inverse autoregressive flow
1.7.3  Masked autoencoder (MADE)
1.7.4  Test logdet of the Jacobian of IAF
1.7.5  ADVI with IAF
1.8  References
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Normalizing flow in PyMC3" + "# Advanced Variational Bayesian techniques\n", + "\n", + "- (Original code by Taku Yoshioka and notes by Peadar Coyle)\n", + "* Firstly it is worth commenting on the motivations for variational inference.\n", + "* **Justification** One of the major justifications for Variational Inference is the possibility of scaling probabilisitic modelling\n", + "to increasingly complex problems on increasingly large data sets. \n", + "\n", + "* **Warning** This introduction is quite mathematical. We've tried to interspace the Mathematics and the practical in this note. \n", + "\n", + "* In this advanced tutorial we'll discuss the recent literature on modern Variational Bayesian methods, leaning on techiques from Deep Learning.\n", + "\n", + "## Autoencoding variational Bayes\n", + "The autoencoding variational Bayes (AEVB) was proposed in (Kingma and Welling, 2013). \n", + "\n", + "Let us consider a general probabilistic model \n", + "\n", + "$$p(\\mathbf{X},\\mathbf{Z}) = \\prod_{t=1}^{T}p(\\mathbf{x}_{t},\\mathbf{z}_{t},\\theta)$$, \n", + "\n", + "where $\\mathbf{X}\\equiv\\{\\mathbf{x}_{t}\\}_{t=1}^{T}$ is the observation data and $\\mathbf{Z}\\equiv(\\theta, \\{\\mathbf{z}_{t}\\}_{t=1}^{T})$ is the set of unknown random variables in the model. $\\theta$ is a set of model parameters and $\\mathbf{z}_{t}$ is latent variables relevant to $\\mathbf{x}_{t}$. Example: mixture models, LDA, ... In PyMC3, $\\theta$ and $\\mathbf{z}_{t}$ are referred to as global latent variables and local latent variables, respectively. \n", + "\n", + "To approximate the true posterior $p(\\mathbf{Z}|\\mathbf{X})$, we introduce parametrized distributions $q_{\\phi_{\\theta}}(\\theta)$ and $q_{\\phi_{z}(\\mathbf{x}_{t}; \\lambda)}(\\mathbf{z}_{t})$. $\\phi_{\\theta}$ is the parameters of $q_{\\phi_{\\theta}}(\\theta)$, while $\\phi_{z}(\\mathbf{x}_{t}; \\lambda)$ is a deterministic mapping, parametrized with $\\lambda$, from $\\mathbf{x}_{t}$ to the parameters of $q_{\\phi_{z}(\\mathbf{x}_{t}; \\lambda)}(\\mathbf{z}_{t})$. Multilayer perceptrons and convolutional neural networks are examples of $\\phi_{z}(\\mathbf{x}_{t}; \\lambda)$. With these parametrized distributions, the true posterior is approximated as\n", + "\n", + "$$p(\\mathbf{Z}|\\mathbf{X})\\sim q_{\\phi_{\\theta}}(\\theta)\\prod_{t=1}^{T}q_{\\phi_{z}(\\mathbf{x}_{t}; \\lambda)}(\\mathbf{z}_{t})$$. \n", + "\n", + "\n", + "\n", + "In AEVB, $\\phi_{\\theta}$ and $\\lambda$ are simultaneously optimized to maximize ELBO. \n", + "\n", + "## Uses\n", + "* Large scale topic models (for example LDA and Hierarchical Dirichlet Processes)\n", + "* Semi-supervised classification\n", + "* Generative models of images\n", + "## Limitations\n", + "One of the major limitations of Variational Bayes or Variational Inference (VI) is that they require intractable\n", + "posterior distributions to be approximationed by a class of known probabilistic distributions. \n", + "\n", + "**Objections** Unlike Markov-Chain-Monte-Carlo (MCMC), even in the asymptotic regime we are unable to recover the true posterior distribution. \n", + "\n", + "One of the overarching ideas of VI is that more faithful posterior approximations = better performance.\n", + "\n", + "\n", + "\n", + "## Normalized flows\n", + "One solution is the specification of approximate posterior distributions using normalized flows, a tool for constructing complex distributions by transforming a distribution through a series of invertible mappings. \n", + "Inference with normalizing flows provides a tighter, modified variational lower bound with additional terms that only add terms with linear time complexity. \n", + "\n", + "* It has been shown that nromalizing flows admit infinitesimal flows that allow us to specify a class of posterior approximations that in the asymptotic regime is able to recover the true posterior distribution, overcoming the limitations of variational inference. \n", + "\n", + "Let us consider a general probabilistic model with observations $\\mathbf{x}$ and unknown random variables $\\mathbf{z}$ over which we must integrate. In autoencoding variational Bayes, unknown random variables include model parameters and latent variables. \n", + "\n", + "\n", + "\n", + "We introduce an approximate posterior distribution for the unknown variables $q_{\\phi}(\\mathbf{z} | \\mathbf{x})$nand follow the variational principles to obtain a bound of marginal likelihood. \n", + "\n", + "$$\\log p_{\\theta}(\\mathbf{x}) = \\log \\int_{p_{\\theta}} (\\mathbf{x} | \\mathbf{z} )p(\\mathbf{z}) d\\mathbf{z}$$\n", + "$$= log \\int \\dfrac{q_{\\phi}(\\mathbf{z}|\\mathbf{x})}{q_{\\phi}(\\mathbf{z}|\\mathbf{x})}{p_{\\theta}} (\\mathbf{x} | \\mathbf{z} )p(\\mathbf{z}) d\\mathbf{z}$$ \n", + "$$\\geq -\\Delta_{KL} [q_{\\phi}(\\mathbf{z} | \\mathbf{x}) | p(\\mathbf{z})] + \\mathbb{E}_{q}[\\log p_{\\theta}(\\mathbf{x}| \\mathbf{z})] = -\\mathcal{F}(\\mathbf{x})$$\n", + "\n", + "* Note $\\Delta$ is the gradient\n", + "* Note that the last step is via Jensen's inequality. \n", + "* $p_{\\theta}(\\mathbf{x} | \\mathbf{z})$ is a likelihood function and $p(\\mathbf{z})$ is a prior over the latent variables\n", + "* The bound is the negative free energy (if you adopt a statistical mechanics paradigm) or the Evidence Lower Bound (ELBO).\n", + "\n", + "* The first term is the KL divergence between the approximate posterior and the prior distribution - we can consider this the **regularizer**.\n", + "\n", + "* This bound provides a unified objective function of optimization of both the parameters $\\theta$ and $\\phi$ of the model and variational approximations respectively. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Variational Approximation\n", + "There are roughly speaking two things. Choosing the deriviative (explain)\n", + "Choosing the richest, computationally feasible approximate posterior distribution. $q(\\cdots)$\n", + "\n", + "### Normalizing flows\n", + "By examinining the bound above, we can see that the optimal variational distribution is one that allows the KL-divergence to be zero. \n", + "This one for which $q_{\\phi}(z|x) = p_{\\theta}(z|x)$\n", + "Where $q \\equiv$ true posterior distribution. \n", + "A *normalizing flow* describes the transfromation of a probability density through a sequence of invertible mappings. By repeatedly applying the rule of change of variables, the initial density 'flows' through a sequence of invertible mappings. \n", + "\n", + "TODO: Add in more explanations." ] }, { @@ -39,13 +121,20 @@ "text": [ "Autosave disabled\n" ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "ERROR (theano.sandbox.cuda): nvcc compiler not found on $PATH. Check your nvcc installation and try again.\n" + ] } ], "source": [ "%autosave 0\n", "%matplotlib inline\n", "import sys, os\n", - "sys.path.insert(0, os.path.expanduser('~/Code/pymc3'))\n", + "sys.path.insert(0, os.path.expanduser('~/work/git/github/taku-y/pymc3'))\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -146,14 +235,16 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 11000/11000 [00:11<00:00, 954.14it/s]\n" + "WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n", + "WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n", + "100%|██████████| 11000/11000 [00:14<00:00, 784.20it/s]\n" ] }, { "data": { - "image/png": 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PYW9MKjuPnzoNhcK46ZqLEQqE8PMNC/Gvz3yEkEDOh4aJdLZ1e/zoGwwIHqu9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\nl30NpB17zKNt6cDhyutQJ8qhSYoLGm1obDFB29LB+pq21Yz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9y+Ibz8qaRk7l8R+qG3Do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\nCAQCgRAT/H/XlEAKNMCB9wAAAABJRU5ErkJggg==\n", + "image/png": 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AoKamBoODg/k8hLJk0BtK+3M5U8nnRhC55I9/2wefb6zYh1Ew8hqmy4QW1Xe7bTAY9AU4\nmnHq6pwF/Twpsxqc6OnziX4u9jFxTPY4SvncJkMlnEM+oO9l4rhd1aitdaK6emp8hwUXI7vdjmg0\nCpPJhP7+flEITwmPJ1igI0tRV+fE4KAv84Z55MqL5iMSifPrKldeNL/oxwTk5rsp5rnla72qFK6Z\nUoS+F2W0CnQoHMXQkA/RaOWYntOde8HF6Nxzz8XOnTvxhS98ATt37sT5559f6EMoeRxWE9ZcvrTY\nh5GRiTzci3lu3HoVAH52Vg7fM0FMBfIqRgcOHMDDDz+MEydOwGAwYOfOnXj00Udx77334qWXXsIp\np5yCVatW5fMQiDxSbg93Wq8iiNIlr2K0ZMkStLa2yn6/ZcuWfH4sUSDK7eFe57KK1qvqXNYiHg1B\npCccLu37KdcU1cBAlDcTebgXM8+oZWUTAIg+myBKlYs/3gins6rYh1EwSIyICTORh3sxQ3vlshZH\nEADgdFaBYZhiH0bBIDEiJsxEHu7lFtojCKIwVI5nkCgLpKE8WrchCAKgmRFRYGjdhiAIJUiM8gwV\nBhUzkdAefYcEUfmQGOWZYi3YV9IDvNzymQgiF/h8Y1PKxEBrRnmmWAv2lVQdm0wPxFTkr+91T6lC\nqSRGeaZYC/aV9AAn0wMxFbFYptZ1TmG6PFOsBftKqjZApgeCqHxIjPJMsRItc/kA59afvIEoXHZT\nwdefKFmVICofEqMyJp1JIdsHeN9wABte3ItAKAa7xYi7rlmO6W47ALGBgIPEgSCIXEJiVMbk0mW2\n4cW98PgiAICoP4IN2/bisW+fByB360+V5PAjiHwz6vVMqbbjJEZlTC5NCoFQTPXnXK0/kUWbILST\nTCaKfQgFhcSojMmlScFuMSLqj4z/bDXy/+bWm4RrRhMhW/FMFzokiErHPa12yuQYASRGJUc2oaxc\nmhTuumY5Nmw7+eC3GnHX1cv517j1p8m2kc5GPPuGA7jv1++AC1JIQ4cEQVQWJEYlRjahrFy6zKa7\n7Xl/0Gcjnhte3AtptFwaSiQIonIgMSox+oYDaX8uZ7IRTyXhEYYOCYKoLEiMSgx/OK76szSEt+qC\nRmx/ozsn7jSl9RmH2Sj6vNuu/vikzi0d0nOzmPSIxpP86wwgCh1q3Q859ohyZdTrmVL16UiMCoiW\nB6XTZuAt1tzPHNIQ3qGjHowFY/zP4Wgct1+Z+YGthJK1e+HMatHnbXx5H1Z/bvGEzy0d0nM7Y/40\nHBsMiNawOPOC1pwocuwR5YzZbMbbB/qxwlmFqqrqYh9O3iExKiBaHpQNbjuO9gdEP3NI3WecEHG8\n3+PJ+pi4B7tQAIFUmEz6eScG/di4o11RcNTOTasjTvpZvmBMdQ2rEDlRBFFsptU2FPsQCgqJUQHR\n8qBMt8gvdaNJSU4gQU5JiADAYtZjNBAV/W4sEMWHJ1JVhKViqnZu6YRDSDZOO+l6ktcfwfqtbahz\nWeFyiGdj5VyTjyCmEiRGBUTLAzfdIr9UqA4dGcFYaHxNSQfAH4pmFR5TMgq4nWbMqrNj/4cjot85\n7SYMjYb53w16Q/zMx+sXCxp3bumSadOdm5LTjvss4VoSALBsShx7+nw469RaNC+up6KqBFFmUAuJ\nAtKysgnNi+sxb7oTzYvrs35QOqwmtKxoQp3LikFvCHNnVEEvWNdMsMi6b5HdInaouZ1mPPbt8+CT\nhACr7SbMrHOIflfnsvIzH25SptcxonOT7l/NEceJ8APfaMaay5cqCqrSLE6vEy/sDo9SWI4gyhGa\nGRWQXOQFSYuW2sx6BCPjZUOyXSNRS3ZVmsWtuWIZIpG4aNbxvV/8XbQ/vY4RnWO6ZNpskc6qTAYd\nli2sFX0fvlAcR8nAQFQA3pFhAADLTi/ykRQGEqMyQy424plBtmskasmuwrCZ02rEoV4PVv9oJ6wm\nA2bV2TDoDaF1Z6fMgi2d+eQimZZz6iWS4jUxu9UoC+/1DQdEsycyMBDlSjIZz7xRBUFiVGZIZyyL\n5rhg0OtyvkYinMXd+Yu3MBZIzUoisSi8J40NahbsiaJmD5fOBhkGcDnMuOvq5bLZ5sYd7egdHHcj\nZivOlKdElAqcm24q5BgBJEZlh9JCf7qHZS4erunK8KSzYGeLmj1cOruZ2+DEA99oVtyHmhFC6/dA\neUoEURxIjMqMbNedcvFwlVb0FiKdeXCON38oBrAs6qotmFnv1CSC/SPi0kf9ngD/GVpt32rfj9bv\ngfKUCKI4kBiVAPkMDSk9XLNtzcCZEKRONqOekYUFpY63EyMhnBhJHYP04S897zFJXpMvmIqZ56I6\nuVaRyWVbDoIgtENiVALkMzSk9HCVJqI+8sIeNM6owqGjXgAsmma7sPqy03hB5EwIUZbBv/3yTdH6\nkFQ01UJ6Sg9/6XlbjOLYeCgc4/OmJvt9aBWZXLblIAhCOyRGJUA+Q0NKD1epHXs0EMWew0P8z3u7\nhrF2SxvWrW4Wic3MekfG9SG1kF5Pnw/X//Q1OK1G3NvyMUx322XnqdPpAYw7iMKxJFp3dmacUWkp\nGKtVZHLZloMgJgNZu4mCk8vQkFLIT/pwlQqGDoC0wbHHF1EUgkxwIT1uzUivYxCOpazfLJuqp8eV\nBFJyBh466smYNyWdUXUdH+VnemozSxIZotwgazdRcHIZGtIS8rvrmuV45IU9GA1EoQNgNevhD0vl\nSC4Eo4GoaqFUDmle0Q+3vIOjA2JjAhfKk573qgsaseG3e0VipCTM0uOShgbJdEBUAmTtJgpOLkft\nSo40pdnSqbNcaOsYQAKAP5wAA8g6qzqtRtz5i7d4o8P8WdV4L8u1Lc6EIIRlWb6wqVDQNu5oF5kf\n3E6zojBLZ1R2qxFRwfvIdEAQ5UfBxYhlWaxduxadnZ0wmUxYt24dGhsbC30YeSXfiZPp9i99+B/t\nD+D2p9/iqxdwD3Hp7EEoRHoG+Niiehzq9fDJrlF/BHs7B0XvUZqBSI/NZtHB4xdvE0uwfGFTQL3y\nd7XdpPi9yWZUFzZi++vdZDogiDKm4GL0l7/8BX6/Hy+++CJ6e3vx4IMPYtOmTYU+jLwiDZXFE0lZ\nlYTJiFO6UJzDaoBHYiCQltHhjkOtHYVer8Oay5fipkf/lnY/SjMQ6bG5HWbR6zazAcHIuGAKBUjr\n2pnSTJLWgwiivCm4GPX09ODMM88EAMyePRvHjx8Hy7IVFReVjvAPHfXyD+B04S2tM6p07rvpNXZR\nORwlRgNRJNkk3A4zHFYD+kaCiCXGhYYLo7Eq/ZFsZgOWNE5Dy8om2TH3DYs/22E1YOGsav71eDyJ\nPV3jzr3jg370eQKY7rbzM5r+kQB8oTj6hgPYuKNd9j1QyR5iKsC56Xw++5RoPV5wMWpqasK///u/\n49prr0VPTw+OHTsGj8eDadOmFfpQ8oZ81iGfmSiRbsYjTFSVioRwBsE90A90D4uMAECqwrfZlGpr\nzq3NLJxVjTVfWspX1mZZlg+jAanEVqFQAUC928of18Yd7eKZkFM8E5peYxcJrz8URfvTb/H7jCVY\n3l3HzXg27mjH0Y4BeHwRXliF+5B+T7F4AkaDftLilG0yMEHkk2QyDovVPmVajxdcjC644ALs2bMH\nX/va17Bo0SIsWLBAdQQOAG63DQaDvoBHCNTVOSf1/tuu/jg2vrwP/SNBNEyzIRZP4J0D/fzrsxqc\nip/hlVQg8Aai/HZ3b/y7aHHfZNBh7owqNEyz4ZrPnoYtrx7kP++2qz8OAHjypd048OEIWLA4Y34t\nbrnqLPzw12+L9nPwiAfeP0exZH4N1lyxDD/89ds43OvlX0+ygI5J/Vfp+KXH7HaasWR+DX8sa65Y\nhir7uDDUAdDpmFTzpZOM+iMw28z8dtJ9Do+FseXVDn6fQ2Nh0et7u4b5f/f0+WA2G3DPtcq169Ih\n/I6j/ggef3Efnntgpab3TvaaqVToe5k4s2bPhrOqGgH/GGprnaiuruzvsihuultvvZX/9yWXXIKa\nmhrVbT2eYCEOiaeuzonBQfXW3lpZ/bnF/L/9oSiSCZYfuV950XzFz3DZTbKfue2kpXIA4N+u+RgA\nYOOO/fxM4XCvF5FIHGsuX4pvfWGJaPtIMCL7DH8ohsO9Xv590teF60R6HYMquwlH+0ax/tdvY0Xz\nLPScGBVtX1NlEZ17JBjBYHBc/PzBKJKStackC/x823v87Ed6DL39Pr7d+eFer2z2JeVYv29Cf0Pp\ndzwWiGraT66umUqDvhdltAp0MBQFdGEEAxEMDfkQjZZ/L9R0515wMero6MDzzz+Phx56CG+88QaW\nLFmS+U1ljlbrdrp8I2miqrBvUDYVHFpWNomSRKXvu+OqZfy/j/T7IJy0sizLh/iO9gew9/CgKISn\nVKtOSuuuTlnYT3rM3D5ODAVwYigg295pM2DhzGpRWwkhE7V2p/uOCYLILwUXo0WLFoFlWfzrv/4r\nLBYLHn300UIfQsmSTrTSdUzNtqp1td2kKEaj/tTMgO9j9PRbImcewzAQqpNUJNiT7+F+v3h2FW7+\n0pmi9Rs1oRzwhERmhTWXL8Wdv3hLlvsEAA3u1DpUl+T49DoGH2uqUxRELaaHXHalJQgiOxg23YJN\nCVDoaX45hhb8oShad6Z/0AofxqP+qMz+zdG8uH7cNOEJiB7Ojac4sfvQkOL71HA7zFh3fbMosVU4\no9GLl49En3/To38TdZEFUmtSXM086fHddbW64UD6udznKIkUWGTl1ivHa6YQ0PeijNYw3RNb/gsW\nqw3hUBAXfmwOTjllVtk76koqTEfkHi1hQGm3VLfTjEg0LnPciWziktI+ZpsZP9/2Hg50j4hyhdLh\n8Udw59NvgWEY2C1G3HzFEv5z6lxW9HsCONo/bgcXfr40bGbUM7jq4vm49Yk3wSLVcP32r5yBpfPq\nMh6HWihTycEIgBrsEUUnmYwjmUzAZDZPCUdd+a+IEZpQqm5Q77bJtksX4quyp0Svpiq9gUBKLMEi\nGk/C44/g4dY9AIA7rlqGNZcvRYNkJiP8/LuuWQ630wyTQZeaEd1wNn71x4N86I4F8LMX92s6Bul5\ncT8riRQ12CNKgWm1Daitn4Ha+hmw2R3FPpy8QzOjKYJ0XcntNKPnI3EIRVoLThrCuu3qj+ODY96M\nSbXpSCRZtHUM8FUpjg/4YNQzAMPAYTVi1YXjpaGkMzNAXj9Pa4xZzRwi/V5cDhOO9IvrF1GtO4LI\nPyRGFQInHP0jAfiCcTisBkyvsfPrHdKHcSyeEK0bCddiuP2tfa5N1Jph48v78E77RxmPZfHsKnxw\nwqfomuMQVqVIkXLqbdi2V9ZHSYi0oKtaBF1LKw1ALlLxRFJTsVaCIHILiVEeyEW5mkziAsirMggf\n/h5/qnrB3sOD/HqNsKLAD7e8I/o8p80gOsbWXZ0yx93ezkFVgTHqGdS7bahzWXCge0S0HXPy/8RW\nGeX9eHwRbPnPg6oVFW7/yhn42Yv7+TWjBac4sH5rGyxGhhdAo57BwlnVOHgklbwrXPfJJFLrt7aJ\njketWCtBELmFxCgPZNtGXPiAdDvMYMGis9crMhdw4iLcl7B9uBopUWAR9Uf4sjuAvLq39GfFityh\nmOLM5MEbz+E7rR7p98sEy2jQ4dFvf0rk+IvFE6LKCUI6jowgHBNXGW9Z0cR/R59YXI+WlU1o3dmp\nmGsUS7C8EEnPJ9PfJpeNDgmC0E7FilExi2kqLYCnOx7RAxLprbDCfUubymWC275vOACvxNodjsTh\nD0X5Y1Kr6l1fbcaIP8rPQO7+2lnY/ka3agIqkEoelTr+ODt633AAxwYDIoHjhIhj0BtSFJFsjAXp\nDAtCctnokCAmg3dkGOFQ6voMh4IVXzC1YsRI+rCPJ5LYcziVE1Noe67S6FrpYcqN9vd1ac/d4R6q\n/mBUVtPPqGcwo9aWCutZ5NW4uYoCD2/bLQuShaIJUZvxlpVN2Hd4AFFJA9g5M6rxE8n3OOg9rHq8\nRj2jmDwqFKcfPveOyN6tdM5KIpK2DcbJnkyZDAvSmQ+1JydKBc7aDWBK2LsrRoykD3ubWXxqhbTn\nrrqgEV3HR/nqz6subMTmV94XbXOgexj3/uptWZ6PFKtJD4vZAIdlfM0IkJfV0TPA4rlu+IIxLJxZ\nnWrvEI6KnnXLAAAgAElEQVRhw7a98AUiYBgGNrMBT/3+n3zDPCmi74gFYpJDYxgozhRcDvGMs8pu\nxDSnBS6HCQzDYPMr76ednTa47YpiJGxV0bqzUyYiwlmMdM3o7q+dhQUzXPwg5fGX9vGN+Lj30MyH\nKGWm1TbAZh9PEg0GKjuBuGLESC42mRvBTZRMIcDtb3SLqj9vf71bNiJXEiGTQYcljdPAsiyGR8Pw\nh+Nw2gxocNtlnyE9X7NJj/0fjgAQzwTXXdfMu+KODwVwfCj9DIQ7v7XPtclmT0a9TlFMpGGDuQ1O\nWEwG7P9gULT2s/+DQZyxoE52Lmr18uKJpGgb7rxdDhPiiSQvMHdctUw1BKt1/Y7aRxBEcakYMZI+\n7Jtmu2SOrFyR6QGnFFISFiAd8IQUKxgY9AwMep1ocZ4rSir9DLfDLFpfkgqHcME+k8nBYtLBajby\nzexC4ajieyxmHe78xVuyB7Z02/d7PLKusEBqLYj73oTn4rCasG51M9ZuaRPtKxpPoq1jQOYI3P56\nt+j733t4EHdfcxZ2vXtMNkCQ/i12dw7yzfyECM0gUrMHQRD5p2LESGnhOV+GhUyL4FJhHA2IC5DK\n6rPpGCSSLIKRBP/7TJ/BSuTHbNAhJJhtqS3YS3E7zZjb4MDermFRMzspegYIhROIJVIiKnxgOyXV\nrZWESHouSrPLdaub0boztYYmrEkndQRWS1pMxBIsHm7dzde46+nzIRSOwmoxYUDSgiSRZBWFRmoG\nUTKHUIdZgsgfFVEOyB/MXCg0l6iVluFoWdkk6rnj8UXQurNT9Hrz4nrMm+5E8+J6zKwTl+XhziPd\nZwyPihvMjQVicDvNmNNgR/Pieqy6oBEbd7RjwKMsRgyA5QtrsG51M7x+ea8kKU6bSWbZ9vojWL+1\nDe/3jGR8v5Defh9uf/ottHUMoKfPh7aOAbTu7OTNA8sW1qq+NxCKKYZcpelPB4940dYxoBgOVRIa\nu0UsqErtI7gZsfCYCSJfeEeGMTI0wP/POzIMn28MY2OjGBsbTduUtBypiJlRtnk9k0VpFiYdNTss\nBlHISThDkTq2Nu5oFy3gSxfnlcKM/rA4zJdESvTmTXfyrbvT2a1ZAD0fpRrWSUN+Ski7rwKpJFY1\nN5sSJgMQjZ8UDsmNdKB7hLeWC8/9+KA4bymRSKbajCu0QxeS5iVeaIR/s5m1VrBgEQzHVdtH5KNm\nHc22CDWEbjog5ajb2+0HwwQQCgZwyTkLK8pZVxFiVOjClkr2X+HDv6fPJ+tGKjQHbPnzQXT2egEw\nWDTbhX/9zAL+uIUPJFFeTjCKjTva+W1sZoPius6ho15+X5nwBmJo3dkpC/nli2iaQt/BSJy3lgvP\nnWsT4fVHwLIpkdnbNQyTHqKadtOnWWWJrkKMeia17iQQGmklc5tZj2ULa1UFIZuEWK0iU+iBFFE+\nSN10lU5FiFEpZM1LH/5cN1LpzKZ1V6eo8sCeriEYDDpRhYHWnZ2ysj9rt7zLzwR6+nxwO9QqZ6e2\nSZeDk+64tWIx6hCOJTNvmAV9w6nZofBB7nKYMG+6E+3dMcQE60ip/CcWyxdOw3e/vEzU02nAExSF\n52xmAx6+6ZMyMZCeO7dmxxVxlQpJy8omxOIJfiARjyfhD0Wh1MBCq8hQhXCCSFERYlQKWfPSh/+Q\nN4wGt11mO1Z62OzrGhJZm6UPrw0v7pWFpBxWA8BANjs6pcaKb234q2IIy6BnEJf8/vigH/EMhgMl\nGIaB22nO6NSTvQ/qlba50OPmP7ajvUd9liPkUG9qO+FsShqiNBv1iu+V5kfx+xQUcRX+LRxWE4wG\nPS90e7qGYNjZiQe+ea5sH1pFphQGUgRRClSEGJVC1jwngO3dwwhFEqJR9i1XnMlvpzRjicaTiEoe\n6sKHl19hwX16jR2rLmjEI9v2pNx6bEqguk6I2x8wAOZOd/IJn9t2deJgjxdJsCcTW8WJs+nWWoSE\nogmEopnXbqQY0mwfjsaxfmtbVutQUYXZmTRvyeOP4Lk/d4hmO6suaOTXzOTIyxFxszVptYzJikwp\nDKQIohSoCDEqBThB/M7P3hD9/p9dw1i/tY1/0AhDPaFoQrqOzyN6eClsdP7yBmx/o1vkhPOF5Isy\nLIAHvtHM/2w1G5FQ+dAsNGX8OKst+GgkpGnVyWrWg02yqmIUiiSyEiIASCZZ3Pn0W3BYDaitTpkQ\nvP4oIpI6RtLZTtfxUXgVKlG4nWbMrLGKZmbSck5CJisypTCQIkoTYW06KVytOinlXLuOxCjniB+0\nCZZFT5+PfwCuW92M7345lQArDScZ9QymT7OJyv4AqQf+iRHxRfnU79oxs05b98ebHv1bquX3l5bg\nQLdypeyJwh1XuvAbRyhD6aOJwCI18xFWNVdC6EoCICsUy8E5EpsXi+vaPf7SPtF2JoOONzsoQSJD\nTBapm06I0FnHUe4OOxKjHNM026XaGsHjS4WLuLBdy8omHO718CP0WIKF66QLjyt107KyCTPrnTIx\niiVYeDWu10TjSUT9ETzywp6sQmrZwPUXyrcvz+UwIRJLZC1sBoNOVGwvXYrGoaNe1LutIvOCNOy2\nbGEtiQ2RV8hNR0yK1Zedxru6Rv1RUTdVYNx6DaRGz9G4+KnI1ZcDUuGkg0eGkVAxrSnl/qQjX0LE\nUQiDeDAch91izFqM/CHt2wcjcX42C6TMC7S2QxD5hcQoA+nyRaSvrbqgkW8yV+ey4sYvno4fbH5H\nshYjfWSnf4Rn8xAtxMyk2HCzvFzCVUZXcgbyBoUJfLFUfJUgtENilAFpvsjuQ4Mwm/RYNNsFFiwf\nkuPWhIT27APdw3DajKKF8qbZLtH+04X1sqXShShfLJ7rhscXURQjzqAwkeTUdMVXqfICQYipiNp0\n+URq3U2wLIKROPZ0DfE5LhzSmmfBSALekzXjuEXx1ZedJtpm9WWnyao1pMPtNMNizO+fzagvPzdO\nlV1eS06I9Dtz2Y383+S6SxcruuKE/ZuyTU71B6Myk4Tw+qA6dwQhhmZGGUhXyUCa42K3GBVDSNV2\nk8heLYRrn8CtM42MBjGmEpoz6Bk0uMzo6M0cptLpAIadmF17MmtLOgaYQA7tpHA7zbjrq8vxu79+\ngENHvWBZFiGJtVunEwusLxhDMJLAqD8KfziGlpVN2Ht4UHTuTptRtP4nJFNyauuuTplJQlh8lSov\nEJlIZ+1WQmj3LkeL95QUo2xCJNzI+ED3sKwCtMmgw9L5NeNrRhc2Yvvr3TjQPSLqV+R2mkV15aSf\nJ7QBS/OUhMQTLDp6lRM1l85zwWhMrXtI264XkiQ73v68wW3H+csb8NTv2jULXDZiNrPWjmAkDpMO\nuG/zO2nDlNK/XYIFEifXn7jw2bobzsaGbSfXeKxGzKqzi6z3bqcZ1XaTJgODVFz0DETFV6nyApGJ\ndNZuJTi7dzg0UJYW7ykpRtL4f9exUay7vllRkDih8IeiuP+Zd0Qtu7kS7lzJH38wNXquqTLDHNbz\nXVpj8UQW6w3ZTyuq7Ebc8ZWP8T/7g1Hc+6t/ZL2fXBFLsGhw2/lzXNI4TfO6mNmoQyiqreZdMBLP\nuhyRElz4bLrbLupztH5rm2i7dDNc6QBHWmroY4vqReYFcucRmZiotbvcZkQcU1KMpKNWjz/CV4xW\ngnvQuBwm6BkdQpEowjEW4ViqE+mB7hEsaZyGWDwheujOm+5EPJHEvg/ED2Lp53P77x8JTCgx9JoV\nC0U/b/nzQcVOsoVEeI6dvdrqzAHQLESAcl+iiaDUuwhQn71IXXI/+fanZQMco56B1aQHw6RMKlKx\noaRYghBT9mI0EVeS0joQ9/AcDUTx5O/3iVo8CF1zQKrVADAuGsFIHG0dAyd/P46wBI0Qry+M9Vvb\n4HKYwDCM6nZSnFYD5k53or3bI/r9xu0HsREHMbvehmMDwZJw1VmMqdGZPxhFJAuByQa71Sir6Zct\nbqdZsXcRoD57kbrk7t/0FhwSQYslWMQSqWvEaNCTU44gMlD2YjQRy23LyiZ0HRsVJaRyo95NL++T\ntXiQrH0jqbqoIZ0eK2/nDcQU66JlwmDQ446rzsLqh19TfL13IKj4+2LQ0Tumepy54LS5LrR8dhE2\nbNs74VAdwwALZ1bDIenyKh3gSCuvS2dkvmAUjTOqVI0uZE4giMyUvRhNxJXksJqw7vpmUatyrk33\nPz+QL/pLtcek0stn0RyXqDK0NGw3WTy+CH743Ds521+5YjPrEQjFsOGFvfAFMwuR22nGmD8icxay\nLPiBjHAAo5RbdnqjG3odg5GxsKivEpBqya40wOEgcwIxEbJ103Fwrrpyc9SVvRhN1JUkjNn7g1Gs\nfa5N8wg7EpOv6+gZ4LpLF4tG0P5QFM/9uQP//GAYCQ0WMatZn3HNSNiefKoSjCRwdED791BtN+Gu\nq5fjkRdS7TaklusD3SPoGwnw1TMGPPLcMmGZJiEMUuHC1p2duOua5dj+ejf6hgPwh+O8gYXMCcRE\nyNZNx2Eym/H2gX6scFaVlaOu7MUoF66k1l2dWYV64grLO2aTAf5gDGu3tInKv9xyxZl8F9J9XUOI\nSkbVVpMedS4LfKE4HBYD/KG44uiaSA/DqBc/HfAEsf31bqy//mw4rCZZtfRgJI4Nv51YuI8FcKTP\nhyPUMpzIMZMplBoMZNeKpRQoezHKhStJKbSXrmmcyaSTzWAWzXGpln/hjlH6EARSVmZvIIqxQIx/\nbzZN7oqBxajD4rlu7O8eQaJEDjRdFW6u0aE/FEXXsVHFv6t0HUjPMKp9n9RIFyKmOnUEkZ6ClwMK\nBoO45ZZbcO211+KrX/0q3nzzzUIfggxpaM/tNGNGrU1xW5vZALNBL9v+uksXyx5oXn8E/tB45v6K\n5lmy/QXDMVHuEgDkx3s2eWxmPdxOM+qnWWE06HHv187KWIYnE4UsPXTwiFd1gGGXmBhOb3RnfW7p\nQsTcQCUaT8JzcqDC4Q9GsXFHO9ZvbcPGHe2ia4YgpgoFnxlt374d8+fPx+23346BgQF8/etfx6uv\nvlrowxAhDPXNanDiyovmo3Vnp+L6TDASRzAiz8Z3WE2yckAsC9z/63cwrcoCl8OEA93ydYdEUl5r\nO8sBuSoGPYN4DmcuwZPt1D2+CI72B9DWMQAGwJrLT8PmVzqynkkY9Yxi48BCw9m7t7/eLTKfSAcJ\nauh1wMea6tOGiKUDFaU6dYB2RyhBVBoFFyO3241Dhw4BAEZHRzFt2rRJ73OyFZCFob66OicGB31o\nWdmEeCJ5sv8QC5aFqN5Ztd2EO65chtZdnXwjvJuvWIIH/323aN9jwRjGguoPtaSC/dtsYGCzmiZd\nXSCXQqQGC2DjjoMTeu9j3zkPW/7zoKIY6XRAcpJTRJfDhCTLZhQVjy+CDS/sxV3XLAeS4jwiDoYB\nqiUV2DmWN9VnFA/pQCVTnTqq6k1M1E0HKLclL3V3XcHF6NJLL8Uf/vAHrFixAmNjY9i8eXPa7dPV\ndOPINLKcyI3tsJr4jqzccQjXe+pcVnlZoeOjGc5ejtJkIp5gFYVIzwAmkx7hSGLSia1VNmNakcw3\nVTYDek6MqlrfzQa9rNhpunU8KToGWH/92Xj8pX2aZjgefwQ/2PyOrOUHB8tCNTdsTKHJofSau/mK\nJfjlHw7wde9uXrWEv7aVirDSbImYqJsOkLclL4eW5AUXoz/+8Y845ZRT8Mwzz6CjowP33XcfXn75\nZdXttdyQmXKNcnFjr7qgEV3HR/mHyYqzZ+FnL+0TbZOLOmmA3LxgMuiwbGEt37xvd+egJqt4OnQ6\nJq0DLd+MBeN4/Hf7VV+PKtjns6kmbjbqFduFpyORRnDSMa3KIhs0KQ1Uqu0mLJxZnXp9Z2faIqyP\nS64tSpydelDb8Tyze/dunH/++QCAxYsXY2BgACzLapo+egNR1NXJ/zizGpyiB86sBqdoO2l7brX9\ncCi9tuXVjnGnnC+CX73yvqwS9GRI56CLxpN479AA9nYNIhbPjXp4/aW9SD7ZCKPRqMOWVzvQ5wnm\ntQNubbUFACsSHrPZILvmuOZ9aq/Xuqx4/LYL+Z8zXdPlQjkec6lgs5rgdFhysi8doqitdaK6unT/\nHgUXo7lz52Lv3r245JJLcPz4cdjtds1xTJfdhMFB+Sj3yovmIxKJ8yPTKy+aL9rOZReH5NT2A4yv\nGUk51i/+nTQ0o9cxWc9WXA4TXA4zRnzhjKGkJAskcyREU4GxQAxv7juRdhuTgUFU4TvVMSfFi031\nNHLaDDgxFBIJml7H4GNNdWhZ2YSn/tAuev+xfl9aZ53S69JrMtM1XQ6o3UtTHa0CHQxFAV04J58Z\nDEQwNORDNFrcfqrpzr3gYnTVVVfh+9//PlpaWpBIJLB+/fq02zcvrs+Y0Jop10gaYlt1YWPW60jS\nlgAWk16UwHrmghp8cGJUswMLAILhOOZNd+JIP92wxUAtR6raYeZnwWPBGPR6nUiIjHoG6244G9Pd\ndviDUXjGxA8M4bXKrQlJ6yBmStamqt7EVKPgYmSz2fDzn/9c8/aTvSH9wagouz7qi2D7690AtK1H\ncUhnb3OnO2ExGUQPk3s3vZ3VsUXjSdUF/GwW64mJIf169TpAxzCytT+pLXtmnYNPWG3d1Ymh0bBg\nHwziJwcpfLmpkxU4pAMfEhuCGKfsKzBkQqnUj9JicP9IABt3tMMbiMJlN8lmStJ9+IIx3H7lcn6G\n9fhL+xBRKJ46UerdNhwfojp0hSSRBJR8itIZ1IAniI072tGyskl2LSWSLPZ0DQF/7hAVzSVrNpEt\nk7F2S1GyegspBdt3WYmRltCadJu+YfkDnYvXCxeIfaE4jgrcTfFEUvQwcTvM6IG8IKvQNaWE1azH\n0sYaHOr1ZBXCUxOifC7GE8pIk3m58kKAcm8sQNzLKtPM2x+MYsufD4p6aF132WISrynOZKzdUqRW\nbyGlYvsuKzHSYtGWbuN2mkWvu51mUXxeKFrC2Y/0YbJ8YY1s/cofjOJAtzjMJhWLRbNdWHP5Utz4\n09z09mGYVA0niuAVnwPdw6h1WVBbbUEgFBPlRUmbJaazZrfu6pT10DKk6TxMTA3I2l3CaOld1D8i\nVn6b2YCFM6sVZ1PCm33jjnb0Do6/Vzoi6TjiwfQau2gfG3e0y+zdOolFm7NQ58oIN8n0oqJSqrO6\niRamDUYSfMmo5QtrcKB7RHWdL527Tuk6Fv6OqjEQU4GyEiOl3kXSG1VquQ5G4ppGmJzjLhiOwWYx\nIhaLA4LEy3AsiZ4+n2hGpvQQkT6LOBdeqT6IC0mpnr/VrIc/nF04RGrl7+yVVwNnGGBugzNjaxOl\nUJ9QvKgaAzEVKCsxUrLDCjPZe/p8sBjFi3ChcAz+UDTjSHL7G918mC4Si8hajQvZ1zWEjTvaZetI\nSnCLgtV2kyzRkSgNshEiPcPgzIU1AJsKp3FIw3IA4HKY8cA3msc/R2VtqGVlE2LxxPjv57hkoWQh\nVI2BqETKSoyU7LDSG1On0wMYfzCEY0m07uxEy4qmtKEO6X7SjeKj8SRfsdplN6LKYcKQN6xYkWF4\nNISNO9pTrbLDZNcudxIsi54+H+66ejkMhpTBRcnAwFUCF6K0NsS57rz+KJY01iiG4CbazZgob3Lp\nplPCYrECTMrAUApkFCO/3w+HwyH6XW9vL2bPnp23gxJ9foZ4ufRGXTTHhUNHPSJhGPSGMoY6pPtR\nq9AshEWqllk0zsJsNCiK0fGhoKhFto7J3bpPrltEENrw+FL9iLhackf7fbK/6bwGJ8CKC/2eGJqY\n6y4X3YyJ8iOXbjop4VAA55xWC6ezCgD4/xaTjGK0evVqbNq0iW/18Morr+CJJ57Aa6/lxh2WiUwi\nkil0BwCj/igSCXEOkHQmxO2HyzNadWEjHv7NbpEdu8puVLRnp3ocxaFnAJ1eB7As9DoG4VhSViIo\nl4VJSYiKh7DWnNHAyEo17ekaQnv3MD8T7unzQamPYCSa2XXnsJpEM/vWnZ1kYpgC5NNNFwz44HRW\nFd3OLSSjGN1666244YYb8JOf/ATPPvssPvroI2zbtq0QxwYgc7xcKXTXsrIJXcdH+TUgjz+SchAI\nkIY6uP0I62nNbXBi/4fjDfFm1tqhZ0Ki0i5CEiyQOJl9bzToodSz1WzUIZyD5FiaFeUWm1mPJY01\nOHzMm3UR2dSsJyj7vTQkK/2rS52X3L6UIBMDUelkFKPzzjsPtbW1+Na3voULLrgAra2thTguntGA\nvNeLELUwXrVd3JzOaZNbvDPxwfEx0c8dR71YvqAWDREzDh/zZehsKn7NZtajabYLPR/5EI5N3sig\nVlfN7TTD64uUrHOtFDHoGTx807lwWE246dG/Zf3+qMbBhY5hRNcMI/FY6nUMVl3YqPheMjEQlY6q\nGN11112i8hBz5szB66+/jrvvvhsA8Mgjj+T/6CAuwyNNWAXUR4zSNaAGt30CI0l5iG1P1xDcTnPG\nFttNs11gGAaHjnrBgoVBr8Oho15Zwzg1GAZwWo2Y0+DAhyfGZOtRap/u8UVo1pQl8QSLn76wB6fU\n2mEzGxCNax8sNC+ux/BYWFSfTo3T57n5eoajgaisxFQiyWL7692K16n0eh7whPiSRBSuIyoBVTH6\n1Kc+Vcjj0ES13SS78aQjRM52zY0wJ7Loy822kipOg0xN9PQ6Blf+fwux4bd7+cXpELJbiGRZAAzQ\n3u3J6n2A+qyJUOf4UADHhwJwWPWak2BtJgYrmmdhw2/3qm7DMIDVlJoVr77sNP76Xb+1TfE6Upvx\ncNfvge5hBCMJBCNxfhBG4brKJJ9uunS16opVp05VjFatWlXI49CEtLQPIB8xcrZrIP1NqhbeGw1E\nsfY55QeFVsxGnShvaaL4JtgWnKQIOGP+NBwbDGT9N/CHtA8aglEWD7buTrvNJxbVi65D7rob8MjX\nmIDxMLT0+lx1QWpwJZ3xpgvXUeWG8iafbjq1WnXFrFNXVnlGrEJojBsx7usaEvUXkt6k0hszFk/w\nOR9cW2iHxYB+T0i0n3SoVVVomu1K+5DQWo1BusZAaIMB8NVLTsWmHe05awU/EYx6Jm1YGUhVf7CY\nDHBYDJheY+e3l4af1Qrtqhke/EHxoIpMD+UH1aYrYZRcTpwLbuOOdtFNLr1JpTe3dBbKWXWzQeqG\nYpjUSJizlyslQwKpxnxKa0fSHKRkkoVRz4ABC41LTQRSQr9t5yF8pOBwKxRGPYO7v3ZWxrByg9sm\nqtKgtp10liy81pTQ2jqFIEqFjGLU29sr+51er0dDQwP0en1eDkoNt9MsSiIUhh2E+UYuhwnxRBLr\nt7bx28kqLExwwmHUM5hZ50Cdy4r2D4dFomI1GfiRZ8vKJhzoHlEsE6MWj7VZ9IjHkwjHUgfHQm4P\nBnKbOFuptPd4i/r5sQSLXe8cw5rLXaLfS8PKLodJ8ZqWbiedJQuvNSWUhKeQlRv8wSi2PN/Gt1in\nECGRiYxidOONN+LIkSOwWq3Q6XQIBoNoaGhAIBDA+vXrsXLlyrweoLBtQyyeUHTOKYXg9hwe4rfr\nOj6KeQ1OxTpyJoMOdotRNXdIyoza8ZHsU7//p6g+2aI54w8eh9WEJY3TFHsdLZrjQk+fTzZy1bpe\nQUJUXLihRKY/AycIfcMBbHhxLwKhGCwmPc6YPw2+YAx1LiviiaTiNS1N5g5H46KcN+G1poRUzJSc\nqPmE8qKIbMkoRhdeeCHOO+88nH/++QCAt956C++++y5aWlqwZs2avIuR8AJev7VN9Bp3s0svfJtZ\nPGPz+CKYWWNN5eD4I6JZ0bKFtXxYrW84gFA0AZtFD18wrhi2a3CPO1Cuu2wxDJJ20kK4n/s9AYwF\nYghH4mAYBh+cGEVIoXQQUR5oHQuMBqJYv7UNxwf9/Aw3Gk/i2GAAj337PADq17Q0mVupdXk6lCqT\nFHJmQnlRRLZkFKP9+/fj3nvv5X8+77zzsHnzZtx+++0wGAq75KRWMFJ+ocvDYB9+5BPl6ugZwGwy\nIH7SrMDd+FwFBu7m7xsOwBeKIRJNgGGAWDzBVwFXqv4gxGE1YdX5jdjw4l6MBqK8CGrNNZoMRj0V\nZS02auuQgdD4+o/0muYETCogma41Kdlun2uouOvkyXehVCWULN+FsnpnVJNkMonf/OY3OPvss6HT\n6bBnzx54vV7s3p3e0poP1ApGKhVLlYfBxF9mgk3VlFPrqim8mYXmiL1dw1j7bBvWXd8MfzDGh1/s\nFiPuumY5pgtmTv5gFD945p2idGUlIcoP0oRim1mPWCKJWBbdEy1mPb9O5HaYsXxhDbz+KJ8Iy9W8\n6zo+inWrm8tyraVlZRPMZoNozYjIjnxau9WQWr4LafVmWCW/tIDe3l48+eST6OjoQDKZxIIFC/Cd\n73wH0WgUNpsN8+fPz+sBcnXi0qEWwhD+LhSOob1HOYF03nQnvw5kspnx6PPv8r1lFsyswuFeD28q\n4GheXC+qfwek4vLrrmtG665O9I8E8NFwkEShAnE7zai2m+BymMAwDEZ8ERzt82kO350214WDR8YN\nFs2LU7lI67e2yRyY3GvliLDOIzFOXZ02u/a/72grurU7GPDh02fMyJkYpTv3jDOj2bNnY8OGDfB4\nPNDpdKiuLp0qrxxqIQnh7556+Z+q7xcmGq7f+HdRaRfhorGQQW9IFG4BUuEXaR4JUXl4fBHYzAYc\n6fOLjC+cSAnXiJToOCp2+nFhZqWOr9xrlMBKVDoZxei9997DPffcg0AgAJZl4XK5sGHDBpxxxhmF\nOD5VK3e2SGP3NrMB9W6reCa1q1NTjTEgZckd9UcRFTyM7FYjLdROEY4PyRuSOa2GlPMtHEW/V71Y\nrTQWwQ2GWlY2yZJbubb1z73aIXKIHu71Yv0NZ5MgERVDRjF6/PHH8ctf/hJNTakH9vvvv48HH3wQ\nL7zwQt4PDsCE7aHSkaS8RTgrE7hshOTQUS+M+lTOD4tU3by7rl6O7a93qya7EpXNWCAqaqSYCaNB\nh1dqWnwAACAASURBVOUn3Zzc9RqTVP/gFo4PSWZT3kBUUwdjgigXMoqRTqfjhQgATj/99IInu3IM\nekOawxVSu7fFyMDtNCMciSMUTSAYSchq2CmFSdQIRRMQSteps1yY7rbLeikRU4dMnYGlOKxGRZOM\nkCFvqjp3KCpPnlbqYFzOpgdCTDHcdFKE7rp8u+o0idGuXbv4Kt5vvPFG0cSozmXVnEwnneWEYyzC\nsQisJvGx9w2Pj2RXXdCI7o/GMDwWloVSMtWT4z+PlXfvzBVaa9oRucOgAxLJ/HzvDsv47ac2K/eH\n46prkHUuq+j6BVLh6FYFd6hWaG2qdCiGm04K564Lhwby7qrLKEbr1q3Dj370I9x3331gGAbLly/H\nunXr8nZAUoQVGFpWNuHxl/aJXle7idVmOdIiqL5QjF+X8vrCqqNbi0mPcCyhWkaozmXli1NKew+l\nQ0tpHx2TqhSRiw6xRHYkk5PrzqtPU+y22m7Exh3tvPNSittphtNmEM2yUy0pDFg0x4WWlU1Yu6VN\n9r7JrFtS5YTSoZQKpZZEntG8efPw7LPP5v1A0nHHVcvgsJrgD0ZlnV/VanuN938R14dLSJ78kWhC\nk/tNKVGVATCrzo7pNXasuqBxQq0ndDoGyQz27yQLEqIikcTkvnu7zQCwwJhCO5ADPd60M65qe6pG\n3dH+8dmPy5Fy7IEFtvznQfhD2it5a4EqJxDFQlWMrr766rRqWGgDw5rLl8oqEbudZjAMoziS4+ze\n/lAU9z/zjmL5fQCy6t3ZUF9txvQaO/qGA1j77Ltp7bzMyf+TDpKpI2tlMxaIocpuVHwt01/e6wuj\nb9gPPcPAZNTBbNKPJ8Uq1FkEJl+DjionEMVCVYxuu+22Qh5HWrjRmXSUVm03ZSyT77Ca+JI/QkwG\nHZYtrBX1NcqWEX8U/Rpzilj+/4iphtpASA2b2cALD0comkjbZ4u7nie7xqNW5YQg8o2qGJ199tmF\nPI60cKMzpUrEPR/5FLcVI5/+LFtYy8+cuEoNLocJh4+NIhAWGxBcdiPAMPJ+SgxZCojc4naasW51\nMx5/aZ9soCUNMQvhr+dgdFK5ecWuaUeMUwpuOo50bcqB3DjtSr65XvPi8QZi0lFbLJ6QZcArjeQW\nzXaJWj247EZ+O+nNt+XVDry574To/S6nBYBCcz/qwkrkmFA4isdf2odRhUaSQixGHRbPdcPrj/Ki\nQ91dK4tScNNxqLUpB3JXv67kxUh4I0mFQ1p+n1vYlY4MlVo9qI0W11yxDAc+HBaNSrnZltSdF0uw\n0OuYtCNWgkiHdG4djrH8deayG0+G5hjE4gnRmqTVYsTqS0/jbditOztTgzPq7loxlJKbrhCUvBil\nQxq2c1gNuPMXb/E3rXBkqHV0WGU3Yd3qZlnhVX8oppjMmqTZETEJ0l09LqeFL+D7g2fexvGhcWGx\nmXUZ+3gB2RsQKM+IKBZlLUbSsN3hXo/M0aaaTHjypusbDsAfjsNpM6DGaYXJrEf/cBB1LitvKQdS\nFcCVbNuT0SKaVRHpcDvN/Cx/wCOumRiMJGUJr0nJtTQRZx3lGRHFouBi9Pvf/x6vvPIKGIYBy7I4\ncODAhHsjScN2Nz36N9k20pEhJ0LS/COPLyLK55DeiNmGO2zmVGIiV9xSCS67n5ja6CXXgc1swJLG\naYjF1XPgwpE4WIn4WMwGnLHANalZDeUZEcVCV+gP/PKXv4zW1lY8//zz+O53v4tVq1blbN92izif\nw6hPxdrXb23Dxh3tKefcyZGfUIjUEN6IUlFzO81p31vvtuKWK86EPo3BJNOsyGxkoC9A5jNRXKQD\nknq3FWsuXyo3zAgIRRPwShLAA+E4QuEovP4I9nUNYe2zbejzaC/cCsivc8ozIgpFUcN0v/jFL/DY\nY4/lbH93XbMcG7ad7LxqNWJmrY3PIeJmOtmM9I70+fDNR16DjmEwzWHiy7M0uO1YdWEjtr/ejUFv\nCCNjYVmGPVceyGBgkIgpi06mWVFE5X1EZaOWypCJWDyJ9p7x6t5RfwQbtu3FY98+T/M+JppnpLTW\nVKf5UwklSsnanY5cFVMtmhjt378fM2bMQE1NTc72Od1tF914Urcd1+ZZmr1u1DOod9tQ77aip28M\nHl9qxMkiJRgJsOgfTa0XzW1wAAA2v/I+6lxW3Pgvp+N3f/0AHUc8iMYSMBp0OG3eNLSsbELrzs60\ngqJLU7eMmJowDBCPJ+EPRdGysgm7Dw1Mqm29tAFkJiaaZ6S01vTAN8/Nej/EOKVk7U5HroqpFk2M\nfve73+FLX/pSxu3cbhsMBm1VwkcDUWx6eR/6R4JomGZDQ41dNLKc1eBELC7/48YSLBpnVuOea5tx\nx89f58VIif0fjvDhtZ4+H7o/GhM15Dv39Om459qUA2poTLzobDYysFtNCIRicNpMmDPdid2HBjWd\nGzE1YFlgT9cQ7H/7EPdc2wyL2SBLwpZSW21RbQpptxpgsplF98WaK5ahyp5bh5w0ZMj9rLXFNiFn\n1uzZcOaxSnauCfjHUFvrRHX1xP7mRROjd999Fw888EDG7TweeTVjNYQ9YQ73erF8YY2o6veVF82X\nVf3mONbvw+CgDw3TbDjc61XcBpCv84xJbsLdHQO4ZcNrqHNZ4ZE8IGIJFmwSqK0yp9xQg3647EZE\n4kmEsqj0TVQejKRu4e6Oftyy4TWE01wXNrMeTbNduOxTc/Fw627FGdSsOgee2Pae6L6IROI5d8i5\nJOLG/Tw4OD4YJNt4Cq0CHQxFAZ22ztOlQDAQwdCQD9GouhUh3bkXRYwGBgZgt9thMOT246XrQV5/\nFA98oxn+YBRb/nwQ9256G5Go8kINF6dfc8UyRCJxnBgKYMATRJJl+TWjobGoLKxmM+tFNcOCkTh6\n+nzo6fPJeiclk4DHH4HHn/rZM9kTJioCt9OMuQ0OUY3EYCShul7ksOrx/Ws/AYfZiNZdnfjZS/tU\nQ3m+YAw+yXpmPhxyWtaayDZOpKMoYjQ4OJjTtSIgNeqSllBxOUx48vf7sP+DEZmIWM16WEwGOCwG\nvgXExh3t8AaicNlNuOeas0Sjto072tE/KrfZxpNJVNmM8IVi8pwjMsIRGdAzwF1XL8fzfz6o+T2R\naBL/8ZcudPZ6M/bOUqoeopbuMJkZi5a1JrKNE+koihgtWbIEmzdvntQ+pDeQUp06hmFU83wa3Dbc\nceUyfh8bfrtXltQqvLlUk2dDCQDKDwSjQUfhNyItRoMOG7bJr710xBJs2krzeh0Ds1GHptku0QxF\nbdZSqBkLtafIjnJx03EoFVPNxl1XthUYMpVCUWovIUTawlxK/0hAVOPO5dA+UuTK+fcNB7JuH0BM\nLcKxJMKx7BoyqsEly3IzG38wKiprJawoIqRQMxZqT5Ed5eKm45AWU822gGrZipH8hhGrr1pxUz3D\n4MyFNYotzIX4QnEcFYjdWafWonlxPfo9AXw0FEzbSG/Zwlq0rGjC2ufkLaEJIh/YzHrc//WPY/sb\n3Xj8pX2oc1kRTyT5yAB3H7SsaJLnAxVoxkLtKbKDCqWWCdIbaNEcFwx6nWzUFYsn0NnrRTLJwmI2\noMpuhEGvU9wHh9tphsNiEM2sPL4IX7Tyyd/vUw2TGPUMn2OUbQtygpgoSxprsP2Nbkm0QHx7D3pD\niiE5mrEQpUDZipHSDaQUgvjul5cBGLd9e/1RHO0P8PlGNrMeoUhCXMY/GkckKs7tEI4W05VpiSdZ\n3LvpH2ApmZXIESaDDnarUXVwYzXpVWb64muwzmVVDMnRjIUoBcpWjLK9gaQ34f4PhlXtsELTgTAO\nD5x07QXUxYhloanunRCjnkkb9gNSzdTCMaqqOhXh2om37uzEvq4hWfvxpfNrABay69Jg0OGsOW54\nfBF+wNa6s5NMBERJUrZilC3SkJzWEitc0UqO1l3Zhd+0CM3MOgcGPCFVEbMYdVg4s0pUd4yYGlTZ\njVh1YSM/+BImdgMpa3gsnsBzr3bIrsuxQAwGvY4PLwPaQnKUnFoalJubTkq2NeumjBi1rGyStY3Q\nAlfwlLs5B7KoCAEgoxABqTUqry+CoIrGJZIsCdEUZSwQw4Zte1FtN6HOZcWqCxsBgL+WEyywt2sY\nVoXGeqnthrF+a5tIVDJFFCg5tTQoNzedlGxr1k0ZMXJYTVjSOE00qnQ7zai2m+C0GXGk34dwJAGH\nzYhTamzwh+Ki0IaaBVyIntE243JY9UgkAQYMFs1xgWVZWW0vIVoEjahcPL4IPL4Ievp8iCeSuOWK\nM7F+a5topq+Wz8ZVclASFbUZECWnlgaV4qar+DyjiSANUay6oBHb3+gWzZhGxiJYcEo17rjqLP59\n0puRcykJZ1lahajKbsSPrz+HfwgY9DpZx06CUOPQ0dQMWUt7CWm9uwPdI6JZktoMSLrvUX8U/lBU\nNVRHYT0iF5S9GGVzI0hDFNL4O8egN4S+4QA2vJjqjSR1xi1pnIZBb0h0w2rtHj4WiOGeTW8jFE2N\nZHv6fNDrqG4QoZXUhZYKOw+nLQfksptFVUmEdRMB9WTXlpVN6Do+yq9BefwR3LvpbSxpTOXngQW2\n/PkgOnu9ABiYjDreYUphPWKilL0YTSa+rRZ+qHNZseFFcYkWPQOYTXoADMLROEZ84mq62QTSOCHi\n4CqB28x6mE0Gyk8iVJlTb8fGHe04MeiTheYYjF+HRh0wq96OudMd8PqjGPAERcLFDd6UnHUOq0lW\nwSQYEbdAFxd1FR8jhfWIiVDwtuO5ZjLxbamt1WbW49PLTkHLyiZZU7IEm7ohg5E49n84Iirz43aa\nZRW6JwLLAg6LIWf7IyqPzmNjaOsYwPHhkGwAJPw5lkz13jIa9HjgG81Y0iguTMxFEZoX12PedCea\nF9eLnHVqlu9BbyjjPabVLu4PRrFxRzvWb23Dxh3t8IfU102JyqfsZ0bZljIRhvVcDhPOOrVWlIfR\nOKcGg4M+2C1GRP3aZijVdpOsBYBwlKqVUDSB3sHU+tHyhTWIROM4eHQUAGDQM5hdb0f3R/4s90pU\nElrDwRzC0BsA9A0H4A/H0e8JoHVnp2pYW819qlZmizMDZVPBgVx76Sl3a7fFYgWYVI06LZS9GGVb\nykRaHLV5cb0oD4PjrmuW4web39XUFtxhNaDnozEwDKADg9PmuWDU67GnS7liuBY6e0chlLN4gkX/\nSPk02iJKA2HoTZin5PFFcLQ/9ZBQEgA196m0zBZOOkKvu3Rx1qYFcu2lp5yt3eFQAOecVgunswoA\n+P+mo+zFaLKVGPqGxdW5V3/xDGx5JfVzld0kWgDmsJr1WDTbBa8/ijqXFYeOejB2soFZAiyODfix\n/oZzYNjZmXGRWQ3lfCiyeBPaMeoZHB/wYeOO9rS2bTUTULqSW1yZrclALSXSU87W7mDAB6ezSnPF\nbqACxChbZLbVYJQPjfX0+fB/HX8RPfLdTjMi0bhIUJY21ogE8Pqfvib6jNFgjNeNuMYcocWzq2Ax\nGzE8GsaJoYCiTVynw8lWGQxMBgZeak9BSNDrGN4QE0uwODESwomREA4f82LedKcsaVvaSoXLZRIW\nHeZaT3BrPLmycFOBVkLIlBMj6Q3Q3i2uvi3VgEg0gZoqC8zhOJw2AxrcdrSsbBKNJqWRPJYF7v3V\n21nNiPq9ETz27U9g4452XhylpBr5pVgwcxq8H47ItrGa9Ugmk4jEaBY11TAZdDil1q6Yf+T1R0Vr\nmhajDmcsqFUssHroqJefmQvXcnK9xkMFWgkhZStGE020k94A3/nZG2m3D0biCA6mbsyFM6v596rl\nKI2/Ty5EVXajarM9jy+C6x9+TXMg7kCPXIgA9Ux8ovJhWRYDHm3rLjodk+pttLNTocSV+CrcfWgA\nfZ6ALMSnVGqIICZK2YpRrkZpi2a7FI0GegZIQpzB3jccwOMv7sbBI15ZGM1i1EGnYxCKJmQzJY6x\nQAwuh0m1BUU2c5kkFfCeUjAAapxGDPtiouvEqGfAMAxYlkUswSKW0FZ7MRhJ4P5n3uHXOoHxduWp\nfl/jg5oECzzywh5ZWRdhqSGuTBGRO8rVTWexWBEKZV9VpmzFKFdOnOsuWwzDzk70ewLwBeNwnSxa\nqpR46g/HVUNoVot6vxkhSu0nMpUSspp0MJsMCEfiKcGT9F8iKh8WwJBPPKs26hk89p3zABa491f/\n0CxEHEIhAlLJ16kZvXx2PRqIqg6ygPEyRUTuKEc33biLboYmB52QshWjXDlxpGG7ujonbtnwmkhY\nTAYdli2sRb8noCg4bocZNrO2ygnSG5phUiGTRBo1iidYhASzKa118IjKJp5k8fhL+zDqj2ZdjT4T\nOkac05Q5b44uyFxTjm66ibjoOMpWjCbixNG6ziQVumULa/kcDS43Q4iS/VsrLJtyPUlvfiHSqt0m\no15WUoiYerCsPPlUDYuRgdWsnKpwyjQrgpG4yJ1pMTEIRsavO5tZD39Y/Zprmu3K4sgJQk7ZitFE\nnDjSdaYD3SN8F1ehKHHC1j8SgC8U53ORVl3YiFA4qrhm5LAaAAYK9ewMMBl0aVtEAIBBn5p9aWlV\nsXiuGwBwsGeEur8Smvj/2zv38DbKK/9/R6OLdXPkW+yQGw6JSUjAufwMC1ma7nYf8mNpF1gg5QkN\nXdLSkgLdLpRLd1kCoe2WptBfKQXaJYHFLS0LNNnyUJp0d0NooW1MkxgSkjhOnMSJsS3bkq37SKP5\n/SHPeOadi0a2LMny+3mellgazbwazcx5z3nP+R6LxYJHv9CSEeklklzCiRQsxHqQAOW6UZW3Amkh\nrkrMEaMGNC2bMlGmrDEaD+S6UjSRQtvRfkVdxZx6L9Z9csGYJzRarS6uFd1z80oA6my6hhq31PuI\n9LzCMS5rTyRBEKTGaaJkSziWRJJoMV3ldeC2v10MCBnjevC4n/Y7omRFEDITuGWNNarrMBRNqsLH\nfEppdBpq3Giocas+K0YNKJSJMq2MkV4PGLKuIpFIYdN1ywyTJPSq0/WkVTZdtwydT7+rG9JL8gL+\n8386FZXtpMGr8jrw6MYWeJx2w9RyvVbnRqnllPImxacRjnHYsLZJNYGxMIxK9koAg5bFdYreXy//\ntkMKJ1sY4KL5PoVHRIbBv7Z+VcG+XzlSqtl0ouacFmZ16LSYVsZIvHHUEj3KG1GsnxgmUrDJFuS5\nVqffd8tybH050yPJ7bQhEk1AvvST0fpSj1drn0bZg1arBe4Ki0qhIZlMG65NUcqXJC/gn576PRx2\nKxrP8+LE2RHwQkaAN611QTCMqvfXoa6A9HdaAJwVdsU1TobBn329HRuvXjx5X6rMKcVsOlJzTotc\ns+hEppUxEj0UMWwmPuSTKZ7oz8JLHhSpRiwPt+Vand5Q5cYTd66W/v7KE28D/FgYLpbgM2tTox1o\n9Qxe31AEHw+ShYpQ7CfNp1UZUDTpYXqTaYOSQkf3iPSanlxVmk8batoB2csr+ob0r1FKdkoxm24i\n2XLZmFbGSIQMp8mNk384hkhsLE12htuuUPVWV6FnWjmTle/idqQnJTc0fJoMjQBtR/sV4Tc9g5eN\nRIq6P5TxwwuQrjWtVuRAZqImh9ymvto1+QOllA3T0hiRyI3T9reO4vftPdJ7wxEO4RgnhSPIG05s\n5Uwi1j2RHpO8nbNZRGXlw4SOXqFx2IB0Wns9ilKeyPshHesOKNYcBWKdiQwrb7qhGQmyDSyFogM1\nRgSbbmjG4ZODksEIhBJo3dUhGSv5DUe2cmYZ4Lxat5RZJ24nh+wgawZRWXk8rSjySSIJ0OLG8sFi\nATwVNpUSgxx5P6Rqb4XCGJGyVmTEodJtR9dAaFwakpTpBzVGBJVuO2a47QrvRW5Q5DccmdHGC5kU\nWIWiA+FJ5dJBFhhraEYqK2f7zHA4QRMVKIak02pJICCj/M4go3d3rDuAR174E+qr3KjyOHAKuame\n5ENDcryiyJSpBTVGGpiVGrr+E43Y3+FXrP2QnhAZurh+TSN27M2sGQ1HOMOQnTyVWy8tncyOW3a+\nD/fcvBJ3fO9tcClaEDvd8LpsCBl4OmaosI9JW8U4HiORJM70RVBhY1DldShaqWRjPBqSpPGRJxiJ\noW55UlG5GqZSSe2Wp3JPJHU7G9QYaWBGaigc5bD15wdVSQik4dKqPRL/3vJim64xcjlYyRDJxyQK\nunoqrGiocUvGTSyUHYkl8ezOQ6iws9QYTUMmYohcDiuWNlajd1BbgzGeFBBPJqRWKmbKGcajIUl6\nU5mGkmMERoWM89FTqZQphdRurVTu8aZuZ4MaIw30ilflM7bhMKcqYLUwGWMhT4k1Qs/bAYCljTWK\nzxvJH4lqEW2jahFn+iK4eEE1zvojCIYThmrLFAoA+Nw2bPniZVJBtZ46PSCrw5N59nqGYcPaJqT4\n9Kiqt4BkilckBGmh9p50Kiw1ty0fSiG1ezJTuUmoMcqCwgBlCaulBeBMX0QSU9UzHuI+ewcjUtij\nptIJQRAQDHMqbyxbzDwc5XDopLIn09BIAk/cuVpKW+8biqBnMGq6DTqlvPA6rYgmeJUnL5JIptG6\nqwMb1jZJ196Bjn5oOdfyOjw5WobB47TDylokhZODnYOKhCAtyEnahfN8klwXOQkcr1o/pfQoijH6\n1a9+hW3btsFqteKrX/0q1qxZU4xhaD7k64htcqntkWM0YyP3Ke8gq8ULbx3FgeMZYyNvZCaO/3DX\nEGKc8qkhdu8UPapndx7Cmf6JxXvtVgsN/U1RQjHjFhMxjkfb0X50nhvGoxtbFN62CMsANqtFV5xX\nzzDkum5kpDxCFqxTgdbyoeDGKBgM4kc/+hF27tyJSCSCp556qmjGSCvT5+HbL1dsY3Tj6GnAAdrS\nQWLBazvRWba9c8AwtEc2Ljs4un0skVRItMiR14BkapS025Rn71MzBjVE5Y9YyrDhqkx4jbUwkjfF\nC0BlhQ3x5JhnQiqUaJHrupFRSHo8av2UqUHBjdF7772H1atXw+l0wul0YsuWLYUeAgBoFpFqGR7y\nRpLffPLMOJ/HDoZhEAgldKWD9ApeuVRampV6KqwIx1OZ0J3XCQGCqnGaIKuO18PrdkjG8MMTfsST\n2iaHBu0oJP5gDK27OyRvXM5IJAEbywAMA0+FDfetX46GKrfh/jasbUIyxY9qLzJIpTKiraLyPE3Z\n1qYUsunisShCITe83kpV2/l8U3BjdO7cOcRiMWzatAmhUAh33nknLr/88uwfzDNaRaRaMzajkAFg\nnMmTa8FrQNbuXExEyBUGGfFLp82CzdvbJtT4jzI9GY5wSAvaXjCfBjJN7wUEwgm88OYRnPo4hCQv\nwMYyuP9zK3DBLGWjPY/TDpuVle63A50DsO7qAIAJ1yCVM6WQTWd3OPCHw324qgBJDAU3RoIgIBgM\n4plnnsHZs2dx6623Ys+ePbrbV1W5YLWyuu+PF7LZndtplSTv6+rGMljsEQ4OhxU2GwuHw4qaGi8q\n3dlnbxkZIaXxqXTbMTAcz8PotamudGDR3Cr86XAveob0Z1SsRaHPSqEoCIQSICfBDAPNrMzjZ8dE\nV5O8gK0/O4jXH/8MhiMcHn+pDX1DUdRXu/AxIZraH4zBblPe18EIp7j38sVwhMNzr7dLY9l0Q7Op\ne7jYzJk7F94CZLFlIxIeQW2tFzNmTG5mX8GNUW1tLVasWAGGYTB37ly43W4MDQ2hurpac/tAYHKU\nf33ExXjR/OqMjpbbDr9/LCwnX8Q93h2Ueh0ZEY5y2PyCsoaoyuvAPTc3S2E9tZSQuqdMrrgdVnzY\nqQ6tkHhddpWUixEsA6Sh/TAyS4WN0Q0VUkqPoZGEpMRw4TwfBEFQKNvrwaXS2PLvf0CKT0thvuPd\nQVVydo8/jOWLlOlCPuLeyxfjuYcnE7MGNxrjAMvkTV7NEo0kMDAQAsdZJrwvo+9ecGO0evVq/PM/\n/zNuv/12BINBRKNRXUM0mZgpbBXfN/pbi9bdHaq1oRluOxqq3LpSQl63DfFESpGpZGEAu5UBwCCR\nTGdd3xkciSOh0SaCQWZm67CxWDy/CgPBWG7GiLWgssI2oZCf3WqBxYKi6+tRzCO2Jz90chA8L5hO\ndmk72g+nXen1kJ9L8oLpe3C8iGumZMJQOdcmTWUKbozq6+uxdu1arFu3DgzD4OGHHy70EACYz8oZ\nTwW5XiKEnA1rmxQJDcEwB5aYPqYFjHoTApad78MZf8SwU6veg15AxquJcTysrAUNNW7dokaGAZx2\nqyJpgkulc9LT02IkRo3QVEUrY9TlsMJhZ3Xr7rik8e/NMubuwYno0umVZdDapNKkKHVG69atw7p1\n64px6JwZz+xNKwOP/JzHqRZkFe95l8MKQFAYl3Ccx/+7+0qpzuJw15Aqy07EaWcRT/KaYbXDXYOo\nqazQTUv3eTJ6eK27OvD+sX6q3kDRpHaGA36D9U+b1QJepx4JAJbM9xn2+pIyUicgtEpOCu1WC5oX\n1k6Z2qRCZNMZtRAXmUw9OjlUgSEL46lryJaBJ6IvBySgaa5PEaOXS/mL3WoffO6PmgYpxad1jUg0\nwSM66hVVeR1w2iyZhwrDwOPMpOqKx7jr+3tpWG2awjLA7JlufDwQ1Zy0fDyo/XqFjYGzwo64xnWZ\nrWuyPFIg3hfjCZOLkPdX88LaKZWtN9nZdGZaiItMlh6dHGqMJgGzBkw0WodODipagkcTPBiGQcvi\nmboemcdpx9LGakUYQi90wloYnFfjwuBIQmG8yC62JKRBLASsBbAAMJhUUwpApduBr9+8AuF4Ev/6\n7/tUMkJ6xd4Wi0U3dJetazJZ+iBe+7mGyUWPqy8QQZXHAY/TqugxNlWYbG26QurOmYF95JFHHin2\nIIyIRs0vtOcDt9sx4WOGoxy2vXkEb/3xND46FcCS+T5VGisA2G0slszz4XcffIw4kXhQYWfx9ZtX\nYM3y2WhZPFPz80vm+zAwHIfdasGiOT58+dqLsGf/OSSJvO3/c+FM3Ld+JU73hdAzMOZyn9/gYyiE\nTwAAIABJREFUxf6OAd1xLm2sxh8P96nGZgaf24ZFc32qduwiWpEBn9uGxzddgT0HelTfgTL5yH+T\nOMdjYDiOv1oxB6c/DqF3yFxWK2thkNLRv5tT68LBzkHperNbLeiVlSBUuuyKa41hGHzhM0swEklK\n1/iGtU2a94KcbW8eQdvRfgxHkohzPC6cV4VN1y3L+rlC4XY7sm8EoP1oD2x2c9uOh2SSw7x6LxyO\nikk7BonRd6ee0SSgF+fWWoxt3d2hmdlmZgZIemDP7jykCtvZWEZSEr9+TSMAZFoEhOMKr+dUbwgH\nj/vRUO2SZpEepx2PfqEFL/z6KI6dCSKRVAtt6mVY+bwVuP0zF6F1V4eq5xN0PlPpsY+GM+lCVTGw\nyKR/AOBw1xDCMQ7JlLGunciKRbXo6hlBPKk9mTs7EEUwnJG2OtUbwopFtQrv//o1jdj68kFF4feO\nvV05h9YmEtqjFA9qjCYBvZtBy0hp3ShaCQ/jOS7LZMIppJK4XouAJC+g2x+R3tt03TJ4nHbcfcMl\nAIDHXnofXT0jis/omY3hCIcnX2lHnc+Jel+FYRGuSCiaeegtmOXFoVPBLFtT8o1ALDRGEyls3t6G\nOJfdGNlYBn/7F/Pwbz/br7tNNK7cTyCUUIWJjbosm2U8oT1K8aHGaBLQuxm0jJRW5p28qd5Ejusg\nUrTF45u5wbW2GTaZ3m1jGUUDNBuZs66D05YpqmMsEy+uo+ROWshMYOTLQUYtU+QkeQHfffkA0gbR\nVbfTBi5k3P4hH4ZksuuXCsVkZdOJGXSFypIzCzVGk4DezaB1oxnK5edYY0HuK5VK44Cs4E+8sY2a\n+pHbytEqqNUiI6g49kRLmiyYjI7u/8S5kSxbUiYNPd0fE5BJDQyA5oU1GByOIxxPZUoWBBgmFOTD\nkJSLsvdkZNORGXSFyJIzCzVGk4DezaBnePRunFxrLOT7Ckc5bP/1kdGWzRlJF/H4G9Y2IRbncOR0\nEGkhI6xaU2lHIoWxduafaFS1lDar2qvVasLM4y2j58eZ3JoyGfBpwbA1ihHkhMPnzQikDo7EEU3w\nkpe1cI5+/y7xGu4djGDrLw7i6z96D+4KG+67Ra0OPpGC2KnAZGTTlVoGnRxqjApIrjO2iSzEtu7u\nUCQoWFmLdKN6nHbcc/NKw8/L5YpO9YZwvDsAi0X5gHLaLUjxwrgeXFoIAvDCr4+CRumKy6xaF6q9\nFejoDmatM/O5bfC67AjHU4qQno1lsGC2T1MBIVv/LgDY+ouxRAYunMDWlw/iiTtXK7aZSEEspfSg\nxqiEmUj8fKIZReT2wQipQG6DhWEQM9C4G0/ER6uHDqWw1I96IGYKnoORJBbNrYI/GFMYo9l1HoxE\ntK8NsX/Xse4ALjhvBgaHYwhFU4rwHVlzpNV+hWbNlRfUGOWZfIYOJhI/93nshn/rIY5frz5IxEgj\nb+yYDtML4JTi43JYsbSxGhvWNuHJV9pNf04rEeecP6wuAyAmJyORpGLyEQgn0O2PoPPcMCrsrCLc\n63baVMctZtZcuYcIi8G0NUZ6uljBCAef2z7uiyufoYOJLMSS6ztm13v0xCVzgWWAiy+owbpPLcQ3\nX/yzroYeAHicLNJpquZdCsysckrXm1GSC9nuhEzEOecPq0K3VR4H5sx048OTQ1nHEQglcPGCapz1\nRxCJJeEelakiKWbWHA0R5p9pa4zIi0mrJfh4Lq7xhA7yOcsS93W4S3nTH+4ayhqn1xpvhc0Ci4WB\nAMDpsCIUTSKpkaAgZ269F1+9sRkAVJJFJAtn+7DxmiXYvE2/K22l22bKE6NMjGAojt6hCHa804Uj\nXcrfrKHKjpFoGoCABbO8sNmsCIQSmok4d3zvbZBJKIFwAoKQNv1bhqJJ1RoRid5krRBeSyFChJOR\n2h2PRSEIDXndZ76YtsbIjC7WeBhP6CCfsyw9z0aM0wPAhquadG9Wcvzy/kqxBI8qj0NlNMjsKzEr\nzuO0q1plkBzsHETrrg7cd8tybH5+n2pG7XPbMKvGhUh0ZMLNBynGBCNJfOdn+zWNRW9gbP3n0Kkg\nWhbP1NU1dFfYNFuOBCNJLGusgtNhgz8Yw1AormuYhiMctrzYNi5jUgivpRAhwslI7U6nzalpFINp\na4zIi4m8gcZ7cY0ndJDPWVa2z/qDMcObVRyvloQPAMQSSVy8oHq0FiijLr7uUwtVMi6tuzokBQey\nql5rTB6HDRfOnaFQXqh0ZQzRkTPD5k8AZUKY9UDJjDi5NzJnphu8kEYomlQlsJzoGcGyxhoAQJJQ\nw3XaWdRXuzAc4RRF00BuxqQQXkshQoSTldptNmRfaKatMSIvpuvXNGLHXuWaEYkZ93886zykYZR7\nFrmipegQIKrejW5Wcfx3fO9tTWMUT6ZRYbfi6X/6hOJ1PRmX3sEIzvnDhmP2eeyqNu0AMBJNIkQN\nUUkietrvH+2Hz+NAQ40TR06PTSRWLKrF1ze04NZHfqO4jmIJXjdsG+N41PmcSAtpU5JAevdjIbyW\ncimsLSWmrTHSupg2XbcMdXVe+P3aC7f5dP/lN5LPY4fPY5cEU+WeRa7oGVnxOCk+jf6AUoGZvFnD\nUU6lUyaHfDiEoxyGiTRecZ9bf3HQsA7JYWNwuGtIdxsamCttBGTWg8jQ7bEzQVS67bhkQY1CBSQb\nbUf7UeVRKjvrGRPyfjx43A+GYeByWLHsfB/CcX5KywFNN6atMRoP+XT/ybWdTHfXie9bz8gCykJW\n8ZhiKi85NiMDQj4cWnd3qAoeRYVwrfoQOVxSoAanhLFZLRAEAamcC5sz2992zWJYd3WgvXNAU5lD\ni1giiRWLahEIJaQJlNb6EXmPZK5ZAVyKA2NhsiZAUEoLaoxyIJ/uv9rYKG/2yQgtkMeUp/LKPTWj\nGiMtRXGth8KOvV3YcFWTysPK9DmqyrqAXc5YmIwoaamzYlEtrKwFBzpyT/VvmusDMDY5IidCQCZL\nEoBqbSmeTMPKWvDwP7TgqdfapVqkU70hHOsO4JtfvEwzHCcn2yRoKjDRbDqtluKlJo4qhxqjHMjn\noiV5IzXN9cFmZSd1QdTImJqpL7JbLfjK9UvRuksZp9d6KLR3DqDz7LDCw7KxDO7/3Ep4HDa07u7A\n6T5jsdZyxWFjFZ19zWBGaDafOO0skik+Z0UMhskUO6/71ELF6xvWNiGZ4nGsOwgumYaNZZBOp8Gn\ngQobi0SSVxhosZdSR7eylchIJCmFsI1qm7SKZKcaE8mmM2opXkriqHKoMcqBfC5aGql1Z0MUkYzE\nkroiknJEr6d3MIIqrwNelxX1VUrVZNK7cTlYpHhBEVrhUmk8s+OwFJITDdCGtU3oPDusWDfgUmlV\neq/NaoGnwoYXfn20oLI/HieLaJwvGW/EbLhKhAFQ47VhIJT/2b5lVBWBPDUOm2Vc6umCMNYU7+Im\nWT2LANisLBhkGvjxaQEw+DrRRAqtuzqg1RNYvFbl92NvIIKtLx80LJLNRqmpKkwkm66UBVH1oMao\nSEzEsJkRkZRDej0LZ6tVk0nvZulo+i3pLWnVY4kdYVuzrA1EEzxad3Xg2BlzjfPIcBZZ+a8FwwBe\npw2AgDiXRoUj02o6LZSOwkM6x3opAcDgJBgicedaoyG1CEkWzanE8bP6xqrtaD/u2vq/mCnraJzN\n8ya9v0MnB7FwzgyVagMZwlZNztYbT85IxgrFByUlkGwdmqn0T/6hxmgKYkZEUo6ZxAsxjJIJizBI\npdK46VMXqApW9eqxjNYG1Mc29zD2OK24cF61bn8mLebXe6VizHCU00wZHw9VXgd4Po2R6MSNwnhq\ndyfLqcvNRxvj5LnsIdbTvSGcNuhoTGIhGvvFOB6HTg6h0mVDkk+DQSacff0nGvHD1z8YndQISHC8\n9DkzkzMSPUNp1KGZpnXnn5I3RmYkbKYbpEHQi4+PiZ4ap3IDGWNis7LSzPBA5wCsVgse3dgirRHV\n17gRicSRSKZA9kgS2bC2CYe7hnT16Op8Tvg8dkV7Cz1muB2Kmz4c47JmZskFYcksPxGnnUWF3aor\nP6Q9Fju+dO1F+M5P9yMUTWaaxLlsiMSTht1Nc4XstFqq5KKGcejkIATB+CSRhkhEQKberGXxTEVW\nqFGYNxhOSNl3ouZk72AE4XhKEaLWy8oTMerQTMk/JW+MxBkJnYmMcd8ty03Fx8kZH8swcNhZpFJp\nzaJa8ibrG4ookhUAQaGQIO+RJOJx2lV6dFVeB2a47YrEDHG/wVBcNyTUUKMMtZjxvuQFlkYPjfMb\nvJgPD4JhTqr4N6IvEMWOvV2YV+eWzkEoD14Sid3OIlZmorFmkjWyrefJf8tsxkAQMh6MluZkIJTA\nmb6MMvijG1s0s/LIkodiqYOPN5uuosKJWKx0s+b0KHljBNCZCElDldtUGII8b7wgIJpIZbwejaJa\n8qYLxVI4IwtPeAgPTO93MZOcIR57y4ttCmPkclgxs8ppmFEovt43FMGZfuVNd+LciK5HKBLjeBzo\nHJD01cIxDvc+/a5hbZWoHMBOspKK2dbu5QLLZEKF2RwtuQHQyt5kkEmQ4fm0wsPSC2EHQglsf/MI\nvnpjc9brtVjq4OPJphvLoptVsllzekwJY1TIPiXlhFEdht66kfhenc+J3sGIYlZJlqfq/S65JGeo\nEyeqs35W7iGRxkiAoFonYi2MprTR+8f68cPXPsBt1yxGQ7UL3f7ss8k8RuS095/HEF0p1zO5HCwc\ndqup9TwxzVwuvnuoa1DhQc6td+OR2y5Tec1upw2czjHEtPFs12uxpH/Gk003FbPoREq+wXPL4plU\nzmOcbFjbhOULa+BysGAJcUS9daNN1y3Dw//Qgk3XLVOFyawsA5/bBrvVgiqPQ1JZmOgYWxbPxPkN\n3px/ay2DGk/wqgfceTUutCyeCddoZp2IIGTWxlp3dai+qx6kd1jKXHJBDb795ctKro17ldeB79xx\nOWa4ld6ynn5njOMldXcgc52KYqsioWgK4Rinup7uW78cLYtnYm6d1u9bmoKh05WS94zoWtH4IZMS\nAH0JIC3I9g/D4bGQBxdOSCoLrbs70DcUUbWO1ko60UqTHe9vrOX5aTkCDTXuTIpujMODz/1B1civ\nvXMAF51fJUnQ1Pmc6BmI4NyA0lOyMEB4EtaJJouDnYNo7xwsitySz23DvFmV6OweRiyRUozB67Jq\nrtU0X1ADhmGkLLl0WlC0MJFPPq7/RCMOHvdLoVW5nqOeHNYPX/tAkY154TxfHr8xZaKUvDGiTAwj\nCaBsZGv/QLajAMZaRwPaE4l8psmKBlVeH0Iily/KJFfUqJIfuFQaBzsHRwVrMyKdM31OlTFiGMZU\njVApZcQVYhgWJhMKFQQBXrdDqvPZ/tZRzazKc/4ont15CKuaavD+0X5pjOFoAl+9abk0iSFDbnJv\nfsc7Xao1vnP9Idz7o3d1i8FFnbxidIalZIcaozInl0ygcJTDC28dxZFTQ0im0rDbWDhsrO72Wu0o\nRHoHI3h25yHVonCuabJ67eHl+33ylXaVh+RysFjaWKPy0K7/RCMOHPdrCn8GwxyCYQ6nekNYPLcS\nPrdNkVxhY7XXnuTYWAaPfuFSfPM/9iGamLjh0pMBcjmsiHOpSV0TMrvmlBaAGU676uHfN6SdQMKn\nBan9hHz3nT1hhVr99Z9oROe5Ycm4yMPCWteNfzguGSgunMDm5/fhibtWS7+/GIYWr6knX2lXXJu5\nKptQ8gv7yCOPPFLsQRgRjXLZN8ojbrej4MecTJbM92FgOA671YJFczJ1QXYdA7PtzSP4c4cfqXQm\nVSHFC4gneViYTMvxSxbWoKHahQo7K+2r89wIegbUC/8sa8GJnhEEwxx6BiIYGI6jZfFMfHQqoNie\nAYPVFzcYjqntaL+0n/0dA6r9uitsin1WeR341u2XYfXFs1T7bd3VgbMmEhUCoQQe33SF4twFIwkk\nZGEjBsA9N1+M490jSPFpVLrt+JfPr8Kre06gu1/7QUyS7Vnvc9sRT6q9viSfhpVldI2Fy8EaZgdm\no8rrwON3XI6PByPoHcqezRrnePz5mB9rL50nvXb83DDO5Kg/aLdasGb5bACZ3+pEzwj4tIA4x2Mk\nkqk3AqC6jqq8DnCpNNKyE5IWIF13cshrStxGTHwRj7e/Y0DxffKF2+3IvhGAve99iGSSQywayfo/\nIZ2Wtr1gTjUcjoq8jzsfGH136hmVOblkAul5KWkhoxXmrLBh49WLFe9JadaB0TWjisyaUV9AmYkn\nekp9gYiiTXkgbNy7yUx7+Hs+24wUn5bWGubXe3L+jqrvDOW5C0c5PPDjPyi2mVvvRq3XNfbC6HPQ\nrNyRiJEHUumxIS2kMRJVh7uSvGDw2Yktzos1OGKPLTMEw8pW4Z/7v0vwbntPTqHCKq9D8qhJ9fj9\nx/zYvO1PaKhxS16S3EPevK1NVcis6UHpeOe5KptMNmZTu0lR1KmW0i1CjRFFwigVHNAOu+gZu2d3\nHsKZvrGZazie0i1UNTIQqvbwRKpufyAqZVmJ6xMHOwexeXub9EA12p+NZTCr1oWegagidOd1KbPm\nWnd3qIpR66vcmjqBua7UXDTfh3ODMQTDCVW9TX2VG/5gXPezoiGSG3gAugoYjfVudPUZe4bnVTul\n85btmiCRik3PDuPC+VU5nYnFcyshCIJ+QbMgoNsfkdYkxeQZfzCG1l0d+MoNS/Hdnx5QnIdz/jDu\n+N7birCbXujarLKJEfnUsTOb2j2V07nl0DAdQbmF6XJhyXwfeoeiurH+ixqrsWJRrel9yUNcSZ7H\nsI7SwqI5PlUoRW8/X/jMEoxEkgiGEkjyaSR5AT0DEYxEOCT5sRBanOOl8Es4ymHbm0fw1h9Pw261\nYFaNWwo13rd+Ba5qmY/j3QH0yx76jQ0efHByCG/98TQ+OhVAXyCiGL/LweLem5fjzfdOK9aR4hyv\n24iOZdRmyuWw4oHPrcRnrmjEp1bNxll/GIPDcdn2aQyFsl+PdqsFF19Qg0AorruuVemyoi+Yva7H\nyrJoXliD1l0ZpXcLw4BhcmuwF+d4fDwYMa3D53JY8a0vXY5d+7oV3pheujfLACc/DinCbfEEj/vW\nr5Cul0gsiSQvqMJueqHr5kU12N8xgHRaQKXbjvvWL89qSOTX1kenAtjf4cefO/yqEKAcs2G69qM9\nsNmzb5tMcphX7y3Z0JyckgrT7du3D//4j/+IRYsWQRAEXHjhhXjooYcKPQyKBh6nHXffcAnCMQ6t\nuzpUobdNNzQjETWn50Z6TKSnpCURZGY/QCb7bsuLbcSMXf3U0xK6BCApL8gJx5Vez5n+CKKJjCr1\nqd4QbIT0gsNuxZOvtGu2ZydfsTAZ0Vevy4b+QFwxc1/aWK1YYK+wWyVjwgM4N6D2Gi0MUGG3Kryf\neDINQRAUa1pyMuM3F7oLhBPY+vODqu69RpCeGYCsyR5ykiked3zvbdX5tFrU+wUynrZWuE1+vdzx\nvbch/zXEsJueN29W2UQOmR2q1bGZ9Ja+tn4VKt3j85bKmaKE6S699FL84Ac/KMahKSbQu1kr3Xb4\nTRojkon0b9JCqznh6b6w4gFqRuhyTDqIfOgrH77kAzEQSkjHslstusKtdqsFzQtr0Xa0X1r3kRvi\nq1rmKNKRnfbsFaqVLhvu/9xK/OtP/qTIxCMb0clJpYWcFMfJdH6jZAhPBQvGYkFyAjVYYstwIGPY\nZtd5DDUDvS5r1kzRfITdsmGmYzNpsJ59vR0P3NoCipKiGCOt2SSlvBmPpIpR/F1PL4zsQgvk1uFW\nTAk3065CZP6sSpw8N6zpCQiCgHZiP5FYEgtnz8gsum9vU6w5hU2I3wUjSbz6vyegTvxmND2UzDhM\nfZVxkfEq86epxzAMHv6HFmx5Ub/9h7w5pF7dkCgoHIokwDAMXA5r3rsAmOnY/OQr7YrP6IXBSYyE\nUuUtxUu5lXguFMUYnThxAl/5ylcwPDyMO++8E1dccUUxhkEpAYwMjlGBrJ5x03rN6KGlLgp2SWoN\nYoHkcJgzbDdRX+3C2b6QSp2agXLGL8Kl0tL3UmVsMQxaFtfhwxMDCvUBiwWKVhXHzgRVbRzsNgvu\nuH4JnvzFh7pjnQqIHoxe8oTLwUrXidEERwy7icWz52SqGvmaGJnx+MnvUV/tghn0sum0WopP1Qw6\nOQU3RvPnz8ddd92Fq6++Gt3d3bj11lvx29/+Flar9lCqqlywWvULLyeDurrxtfqdDuT73Gx/qU1h\ncBwOqxTCCEaUC/fBCIe6Oi+GIxyee70dfUNR1Fe7sOmGZsMYfB2Ah2+/XPX6cIRDmDAGc+q9sLsc\n+M+3jiIY4TCn3osHP78EP/3NERzo6EckpsxSq51RgU03NOOpV/bjT4f7pNervHZUeStwsmesG6qq\nk2nXgEp8dobbjodvvxwjEQ7Pjn7HwEgcA8PKjLqERu1RMMzhx/91RFcYlrUwcDqsECDg4gW14FIp\n7D9WuPbvZrBbLfi3r/wl6uo8+Nr6VfjSt3+LSFx5zlcurkd1jdf0NaB3HeWC3nWqd23J+dr6VXj2\n9Xb0+MMYiXA45w+bOuacuXPh1ciQi4RH0Ng4GzNmTO3sOZKCG6P6+npcffXVAIC5c+eitrYWfX19\nmD17tub2AZ02AJNFXZ0Xfn9uhXrThck4N2eJosizfSHpGD7i4eJ2sNjy739QyP8c7w4ikUipZrpm\nUmyf3XlI8ZCv8jqw7pML8IOX/yw9eOT7D39ygUrbzuO0odJtxy1/swhpXlAcr3VXh8IYWYkQWiyh\nXGeysQy+fO1F2PLvf5D2c/ffL8OTr7SrjJFecgBpLOU4bCye+scrx85RjMP+Y79XbbfsfB86zo7o\nroNNBBvLIMWTJhhwOlhcONeHjdcsgZ0R0HV6EK27OxAnvE0byxj+RlqQ15HPbc/5Oja6Ts2w8erF\neHbnIZzsGVH9lnpEYxxgUW8bjSQwMBACx5WYAq4JjCYBBTdGb7zxBvx+PzZu3Ai/34/BwUHU19cX\nehiUEsFoPYcMgaT4tGF7aDlmNPDIz81w2w0li7S07aq8Djz+UhvO9oVQ53Pins82K9a15EKz2RQR\nbFYWb753WuqCK47bqNZHzwty2i1IJNOKgtj5DR6Vdhu5xmRjGdxz88qs7eNF7FYLrKxFt66JhGEY\nWCxqY8qAgU0WAdFrBc6OPn9zkZUykhWSYzSByUeDPdqXzZiCG6O//uu/xr333ov/+Z//QSqVwqOP\nPqoboqOUP0brOeSawJYX2zT3ofVgMPOw0nvA6L0ejnJIpvjRVhSZtuuCIOD37T0AtNe1vE5zPXuA\nTKHqhyeU7dj9wRi+9HcXofPcsGZR7Hk1LjTUuLH/mF+xhpTiBYUhYgCc7h2W9PLEAt37P7cCj//0\ngFRDtHB2pdSKIc6l8NGpANKCAK/LhmQyrVoXa16YqTvTM1yksdTztqKJsaLoTdctQ9+Q9qJ8PClg\n8/Y2nF/vxSnoGwe5YZFn5Ylq87mK+G5Y24Rkih/NWGR0uyUbkWsB8XSj4FbA7XbjueeeK/RhKSXK\nRBrxGbXDMDOT1TOEupl6uzskrwXItF3PZvRCGjI+RpDO03CYw6t7TugaNLE9xuZtf1I0ByS9MAFQ\nCbdGYklcMMuHFYvqpIfwkTPDkjzTP61TtrO/6/vvKP5mGUZx7g93Dak8JLvVghSfqYEyE/U73DWI\nLS+24eNB/fB8IJTA/HoPlp3vw5HTQaSRCdX1BiKSsKmeZwXoeyhGvyXZjkWvW7IR4rki17D00Mum\ni8eiEIQG08edKlCXhDJlyKVWyUyraD1DqPc6+bA63DWEprnKRWS50QtHOcQS6gePjWUyYrQm0q0D\n4QQSZ5TeiMvBYmaVS1IxJ9e+zJJMpXHH995Gildaib6Atldy4VyfIt39koU10vkXMxC3v3kEx84E\nJQ9K/G/L4pmmwn7RBG/Kezh8KgAIgmS8gxEO//LjP2FuvRv1VW70DuqnO2tJBAHZJzC5Ks6ryDG9\nXi+bLp3ObYIzVaDGiDJlyMWLmoxW0eTDKppIgWEY/GXzedKakdzote7uQDypfgLNrssIueo9dBmG\nrAtS7sNhH7ttX91zAgeO55YRZ7NakEqlIUA7bCb2GyKNfbZ+QB6nHV+9sVlzval3MKJan9Jrj6EF\nuW1SY9wCgDN9EZzpi6DKq5SdETUIPx6ISun2YqhSVF3ItraUzVhlS5ox8ta00NOmi0ZCYPR0kqYw\n1BhRpj1mxS03rG1SNfILhBLYcsdqzcwqvZmz+BDTM0beChYjsbFjyAspxfWPQCihKT9jBk+FDeF4\nUvOBDoz1Gzp43I9Hv3jpWE8fwnKEY0lFkbHYa+qgRrFwOJ7C/Z9bIQmZMgDcTivCBtl/ohKDXudd\nI7yuzHmRJ49kPKYYtCSCgEzDPqO1pWzedrakGZrAYAw1RpSCkU9F43xitvusVjadUVaVmTUufzCj\n1i0XB53XUAmnw6Y6T+EohweJNhZ6vgXLMKj0aHfpNSrglZPkBclzCEc5qd8PkDlP8rbfp3pD2N/h\n100597qsuGCWDz++768AAPc8/fus7SlYWeZyna9C0xjpeVc1lU5YmITi+/uDMZVEkCAIUtsLMjxJ\nGo9s3jaZdEHujyYwGEONEaVg5LPleK4YGcJc1gLMrEUZbSs3vuJ33/Jim+LBHI6lcM9nV6j217q7\nQ9Ve3Wq1wAUgluAVD+WGmgoETKh9M0wmpX1OrQsnPw6p9j8cTuDZnYc0kxNyEUatH/WuxN/BTJ+k\neFKQWlKsWFQLl0MpDutyWPHQP6zCjr1dKsWKDzoHVMkgPo8dX7r2Imx9OdPNVRAEJPmxY1R5lKG9\n/oB2uFIPMlmF/DvXBIbpBjVGlIIx4QXgCWBkCHOpISFnx+Eop6gzkj+4zK5bmT0+eb5YC4MRnbYc\n0URaZVi0mF/vlRTMwzEOX/2Bsgg2LeinbefC+8f68cXH/9d0m3QyJTwQSqgSKC6c50MwwFi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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -177,7 +268,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -186,7 +277,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/peadarcoyle/anaconda/envs/pymc3_dev/lib/python3.5/site-packages/Theano-0.8.2-py3.5.egg/theano/tensor/signal/downsample.py:6: UserWarning: downsample module has been moved to the theano.tensor.signal.pool module.\n", + "/opt/conda/lib/python3.5/site-packages/theano/tensor/signal/downsample.py:6: UserWarning: downsample module has been moved to the theano.tensor.signal.pool module.\n", " \"downsample module has been moved to the theano.tensor.signal.pool module.\")\n" ] }, @@ -194,24 +285,24 @@ "name": "stdout", "output_type": "stream", "text": [ - "Iteration 0 [0%]: ELBO = -95.63\n", - "Iteration 1000 [10%]: Average ELBO = -57.76\n", - "Iteration 2000 [20%]: Average ELBO = -48.27\n", - "Iteration 3000 [30%]: Average ELBO = -45.9\n", - "Iteration 4000 [40%]: Average ELBO = -43.39\n", - "Iteration 5000 [50%]: Average ELBO = -38.73\n", - "Iteration 6000 [60%]: Average ELBO = -36.57\n", - "Iteration 7000 [70%]: Average ELBO = -36.44\n", - "Iteration 8000 [80%]: Average ELBO = -36.57\n", - "Iteration 9000 [90%]: Average ELBO = -36.53\n", - "Finished [100%]: ELBO = -36.08\n" + "Iteration 0 [0%]: ELBO = -126.66\n", + "Iteration 1000 [10%]: Average ELBO = -56.42\n", + "Iteration 2000 [20%]: Average ELBO = -48.03\n", + "Iteration 3000 [30%]: Average ELBO = -45.58\n", + "Iteration 4000 [40%]: Average ELBO = -42.77\n", + "Iteration 5000 [50%]: Average ELBO = -37.81\n", + "Iteration 6000 [60%]: Average ELBO = -36.51\n", + "Iteration 7000 [70%]: Average ELBO = -36.57\n", + "Iteration 8000 [80%]: Average ELBO = -36.48\n", + "Iteration 9000 [90%]: Average ELBO = -36.54\n", + "Finished [100%]: ELBO = -36.13\n" ] }, { "data": { - "image/png": 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3daHIdDriA3/KWHNEKR8xiQajkUV63Lp0QujfiS6fiaWe8+mxs3j1nyfQeLYH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\nBEEogv8HGW5wFt/TGDkAAAAASUVORK5CYII=\n", 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TWNARZQKtjBho9q8NXRt16LqoQ9dFHVoZqUMrI4IgCKLokBgRBEEQRYfEiCAIgig6JEYE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\nezTlOxMCG1hz4+03XJoUsoEwlJIYqYVUixH3o1afjkRjEr8Ze6xSWXA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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -249,7 +340,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -298,7 +389,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -409,7 +500,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "metadata": { "collapsed": true }, @@ -535,7 +626,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -548,7 +639,7 @@ "[array(0.0650162324309349, dtype=float32), array(0.06501622498035431, dtype=float32)]\n", "[array(0.0008600028231739998, dtype=float32), array(0.0008599635912105441, dtype=float32)]\n", "[array(-0.018910568207502365, dtype=float32), array(-0.018910527229309082, dtype=float32)]\n", - "[array(0.9090602397918701, dtype=float32), array(0.9090602397918701, dtype=float32)]\n" + "[array(0.9090595245361328, dtype=float32), array(0.9090593457221985, dtype=float32)]\n" ] } ], @@ -589,7 +680,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -598,24 +689,24 @@ "name": "stdout", "output_type": "stream", "text": [ - "Iteration 0 [0%]: ELBO = -61.43\n", - "Iteration 1000 [10%]: Average ELBO = -45.48\n", - "Iteration 2000 [20%]: Average ELBO = -36.52\n", - "Iteration 3000 [30%]: Average ELBO = -36.58\n", - "Iteration 4000 [40%]: Average ELBO = -36.44\n", - "Iteration 5000 [50%]: Average ELBO = -36.55\n", - "Iteration 6000 [60%]: Average ELBO = -36.51\n", - "Iteration 7000 [70%]: Average ELBO = -36.45\n", - "Iteration 8000 [80%]: Average ELBO = -36.5\n", - "Iteration 9000 [90%]: Average ELBO = -36.56\n", - "Finished [100%]: ELBO = -36.56\n" + "Iteration 0 [0%]: ELBO = -55.9\n", + "Iteration 1000 [10%]: Average ELBO = -42.63\n", + "Iteration 2000 [20%]: Average ELBO = -36.54\n", + "Iteration 3000 [30%]: Average ELBO = -36.62\n", + "Iteration 4000 [40%]: Average ELBO = -36.53\n", + "Iteration 5000 [50%]: Average ELBO = -36.59\n", + "Iteration 6000 [60%]: Average ELBO = -36.5\n", + "Iteration 7000 [70%]: Average ELBO = -36.52\n", + "Iteration 8000 [80%]: Average ELBO = -36.53\n", + "Iteration 9000 [90%]: Average ELBO = -36.55\n", + "Finished [100%]: ELBO = -36.27\n" ] }, { "data": { - "image/png": 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+DnmsAYIQvigxpvC5HHH5TO6wptR+ldGgiwTERCV25laXwu0LDKlYajo4+i8u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\nHI3XFwTDMOCMxpi/nzWPw+vbjuHhF/foVoKtJvVMpB9ySIRqMpHKUEr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LVJGM6Kiut4od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\nEkEQBJEVkEMiCIIgsoL/D+dQJZBXHrBlAAAAAElFTkSuQmCC\n", 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8XlkL5XPbcOZSP4LhJH70bwO590vXbhQ7UzIwPI1tu/oRjqUwNRuXna+SlkQ4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QppQMiBnTQmhQ685Hcns8cj8QxMjLpxHg8l4HbY8NiXe3RTvNVWT6U6fyOoGWHBNRuKsfjevRtm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\nhUKhUKrO/w/bGRLaBRcjxAAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -649,7 +740,8 @@ "* Salimans, T., Kingma, D. P., & Welling, M. (2015). Markov chain Monte Carlo and variational inference: Bridging the gap. In International Conference on Machine Learning (pp. 1218-1226).\n", "* Albert, J. (2009). Bayesian computation with R. Springer Science & Business Media.\n", "* Kingma, D. P., Salimans, T., & Welling, M. (2016). Improving variational inference with inverse autoregressive flow. arXiv preprint arXiv:1606.04934.\n", - "* Germain, M., Gregor, K., Murray, I., & Larochelle, H. (2015, February). Made: masked autoencoder for distribution estimation. In International Conference on Machine Learning (pp. 881-889)." + "* Germain, M., Gregor, K., Murray, I., & Larochelle, H. (2015, February). Made: masked autoencoder for distribution estimation. In International Conference on Machine Learning (pp. 881-889).\n", + "* Kingma, D. P., & Welling, M. (2013). Auto-encoding variational bayes. arXiv preprint arXiv:1312.6114." ] }, { @@ -665,9 +757,9 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [conda env:pymc3_dev]", + "display_name": "Python [default]", "language": "python", - "name": "conda-env-pymc3_dev-py" + "name": "python3" }, "language_info": { "codemirror_mode": { diff --git a/.ipynb_checkpoints/stochastic_volatility_normalizing_flow-checkpoint.ipynb b/.ipynb_checkpoints/stochastic_volatility_normalizing_flow_2-checkpoint.ipynb similarity index 86% rename from .ipynb_checkpoints/stochastic_volatility_normalizing_flow-checkpoint.ipynb rename to .ipynb_checkpoints/stochastic_volatility_normalizing_flow_2-checkpoint.ipynb index 8265762..622d4fb 100755 --- a/.ipynb_checkpoints/stochastic_volatility_normalizing_flow-checkpoint.ipynb +++ b/.ipynb_checkpoints/stochastic_volatility_normalizing_flow_2-checkpoint.ipynb @@ -2,28 +2,11 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "application/javascript": [ - "IPython.notebook.set_autosave_interval(0)" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Autosave disabled\n" - ] - } - ], + "outputs": [], "source": [ "%autosave 0\n", "%matplotlib inline\n", @@ -45,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": { "collapsed": true }, @@ -98,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": { "collapsed": true }, @@ -202,7 +185,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": { "collapsed": true }, @@ -328,19 +311,11 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import pymc3 as pm\n", @@ -385,22 +360,11 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-0.00637 , -0.004045, -0.02547 , 0.005102, -0.047733])" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "n = 400\n", "returns = np.genfromtxt(\"./SP500.csv\")[-n:]\n", @@ -409,32 +373,11 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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2zngaNfEI2ppq8golyMfUlb0eGCl+Hlm5QdP1HQlPP5lOIxYxEY2YnvCOiiz6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\nix9y+G16c3Gir2vMOzXpxjFpWtKJ8PQ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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.plot(returns)" ] @@ -448,20 +391,11 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Applied log-transform to sigma and added transformed sigma_log_ to model.\n", - "Applied log-transform to nu and added transformed nu_log_ to model.\n" - ] - } - ], + "outputs": [], "source": [ "model = pm.Model()\n", "with model:\n", @@ -491,29 +425,11 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 0 [0%]: ELBO = -524080.74\n", - "Iteration 10000 [10%]: Average ELBO = 813.17\n", - "Iteration 20000 [20%]: Average ELBO = 1136.14\n", - "Iteration 30000 [30%]: Average ELBO = 1162.57\n", - "Iteration 40000 [40%]: Average ELBO = 1182.15\n", - "Iteration 50000 [50%]: Average ELBO = 1194.56\n", - "Iteration 60000 [60%]: Average ELBO = 1202.17\n", - "Iteration 70000 [70%]: Average ELBO = 1206.88\n", - "Iteration 80000 [80%]: Average ELBO = 1209.8\n", - "Iteration 90000 [90%]: Average ELBO = 1212.27\n", - "Finished [100%]: ELBO = 1211.28\n" - ] - } - ], + "outputs": [], "source": [ "import lasagne\n", "from collections import OrderedDict\n", @@ -521,47 +437,26 @@ "adam = lambda loss, param: lasagne.updates.adam(loss, [param], learning_rate=0.001)\n", "\n", "n_unitss = [500]\n", - "hs = (tt.nnet.sigmoid, tt.nnet.sigmoid)\n", - "gs = (tt.nnet.softplus, tt.exp)\n", + "hs = (1, 1)\n", + "gs = (1, 1)\n", "iaf1 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=False, random_seed=0)\n", "iaf2 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=True, random_seed=1)\n", "nfs = [iaf1, iaf2]\n", "\n", "with model:\n", " mu, sds, elbo = pm.variational.advi_minibatch(\n", - " n=100000, optimizer=adam, minibatch_tensors=[], minibatches=[], \n", + " n=10000, optimizer=adam, minibatch_tensors=[], minibatches=[], \n", " observed_RVs=OrderedDict({r: 1}), local_RVs=OrderedDict(), \n", " global_NFs=nfs)" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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5XDyhZ0teVgghWhWTNUwdluFUWFgWdKGM8hUsXOR+NJJ74UruRyOj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\nQC+EEAYngV4IIQxOAr0QQhjc/wP29ZVqphoGywAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.plot(elbo[10000:])" ] diff --git a/pymc3_normalizing_flow_beta_binomial.ipynb b/pymc3_normalizing_flow_beta_binomial.ipynb index 09ab2f1..13633a6 100755 --- a/pymc3_normalizing_flow_beta_binomial.ipynb +++ b/pymc3_normalizing_flow_beta_binomial.ipynb @@ -7,14 +7,96 @@ }, "source": [ "# Table of Contents\n", - "

" + "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Normalizing flow in PyMC3" + "# Advanced Variational Bayesian techniques\n", + "\n", + "- (Original code by Taku Yoshioka and notes by Peadar Coyle)\n", + "* Firstly it is worth commenting on the motivations for variational inference.\n", + "* **Justification** One of the major justifications for Variational Inference is the possibility of scaling probabilisitic modelling\n", + "to increasingly complex problems on increasingly large data sets. \n", + "\n", + "* **Warning** This introduction is quite mathematical. We've tried to interspace the Mathematics and the practical in this note. \n", + "\n", + "* In this advanced tutorial we'll discuss the recent literature on modern Variational Bayesian methods, leaning on techiques from Deep Learning.\n", + "\n", + "## Autoencoding variational Bayes\n", + "The autoencoding variational Bayes (AEVB) was proposed in (Kingma and Welling, 2013). \n", + "\n", + "Let us consider a general probabilistic model \n", + "\n", + "$$p(\\mathbf{X},\\mathbf{Z}) = \\prod_{t=1}^{T}p(\\mathbf{x}_{t},\\mathbf{z}_{t},\\theta)$$, \n", + "\n", + "where $\\mathbf{X}\\equiv\\{\\mathbf{x}_{t}\\}_{t=1}^{T}$ is the observation data and $\\mathbf{Z}\\equiv(\\theta, \\{\\mathbf{z}_{t}\\}_{t=1}^{T})$ is the set of unknown random variables in the model. $\\theta$ is a set of model parameters and $\\mathbf{z}_{t}$ is latent variables relevant to $\\mathbf{x}_{t}$. Example: mixture models, LDA, ... In PyMC3, $\\theta$ and $\\mathbf{z}_{t}$ are referred to as global latent variables and local latent variables, respectively. \n", + "\n", + "To approximate the true posterior $p(\\mathbf{Z}|\\mathbf{X})$, we introduce parametrized distributions $q_{\\phi_{\\theta}}(\\theta)$ and $q_{\\phi_{z}(\\mathbf{x}_{t}; \\lambda)}(\\mathbf{z}_{t})$. $\\phi_{\\theta}$ is the parameters of $q_{\\phi_{\\theta}}(\\theta)$, while $\\phi_{z}(\\mathbf{x}_{t}; \\lambda)$ is a deterministic mapping, parametrized with $\\lambda$, from $\\mathbf{x}_{t}$ to the parameters of $q_{\\phi_{z}(\\mathbf{x}_{t}; \\lambda)}(\\mathbf{z}_{t})$. Multilayer perceptrons and convolutional neural networks are examples of $\\phi_{z}(\\mathbf{x}_{t}; \\lambda)$. With these parametrized distributions, the true posterior is approximated as\n", + "\n", + "$$p(\\mathbf{Z}|\\mathbf{X})\\sim q_{\\phi_{\\theta}}(\\theta)\\prod_{t=1}^{T}q_{\\phi_{z}(\\mathbf{x}_{t}; \\lambda)}(\\mathbf{z}_{t})$$. \n", + "\n", + "\n", + "\n", + "In AEVB, $\\phi_{\\theta}$ and $\\lambda$ are simultaneously optimized to maximize ELBO. \n", + "\n", + "## Uses\n", + "* Large scale topic models (for example LDA and Hierarchical Dirichlet Processes)\n", + "* Semi-supervised classification\n", + "* Generative models of images\n", + "## Limitations\n", + "One of the major limitations of Variational Bayes or Variational Inference (VI) is that they require intractable\n", + "posterior distributions to be approximationed by a class of known probabilistic distributions. \n", + "\n", + "**Objections** Unlike Markov-Chain-Monte-Carlo (MCMC), even in the asymptotic regime we are unable to recover the true posterior distribution. \n", + "\n", + "One of the overarching ideas of VI is that more faithful posterior approximations = better performance.\n", + "\n", + "\n", + "\n", + "## Normalized flows\n", + "One solution is the specification of approximate posterior distributions using normalized flows, a tool for constructing complex distributions by transforming a distribution through a series of invertible mappings. \n", + "Inference with normalizing flows provides a tighter, modified variational lower bound with additional terms that only add terms with linear time complexity. \n", + "\n", + "* It has been shown that nromalizing flows admit infinitesimal flows that allow us to specify a class of posterior approximations that in the asymptotic regime is able to recover the true posterior distribution, overcoming the limitations of variational inference. \n", + "\n", + "Let us consider a general probabilistic model with observations $\\mathbf{x}$ and unknown random variables $\\mathbf{z}$ over which we must integrate. In autoencoding variational Bayes, unknown random variables include model parameters and latent variables. \n", + "\n", + "\n", + "\n", + "We introduce an approximate posterior distribution for the unknown variables $q_{\\phi}(\\mathbf{z} | \\mathbf{x})$nand follow the variational principles to obtain a bound of marginal likelihood. \n", + "\n", + "$$\\log p_{\\theta}(\\mathbf{x}) = \\log \\int_{p_{\\theta}} (\\mathbf{x} | \\mathbf{z} )p(\\mathbf{z}) d\\mathbf{z}$$\n", + "$$= log \\int \\dfrac{q_{\\phi}(\\mathbf{z}|\\mathbf{x})}{q_{\\phi}(\\mathbf{z}|\\mathbf{x})}{p_{\\theta}} (\\mathbf{x} | \\mathbf{z} )p(\\mathbf{z}) d\\mathbf{z}$$ \n", + "$$\\geq -\\Delta_{KL} [q_{\\phi}(\\mathbf{z} | \\mathbf{x}) | p(\\mathbf{z})] + \\mathbb{E}_{q}[\\log p_{\\theta}(\\mathbf{x}| \\mathbf{z})] = -\\mathcal{F}(\\mathbf{x})$$\n", + "\n", + "* Note $\\Delta$ is the gradient\n", + "* Note that the last step is via Jensen's inequality. \n", + "* $p_{\\theta}(\\mathbf{x} | \\mathbf{z})$ is a likelihood function and $p(\\mathbf{z})$ is a prior over the latent variables\n", + "* The bound is the negative free energy (if you adopt a statistical mechanics paradigm) or the Evidence Lower Bound (ELBO).\n", + "\n", + "* The first term is the KL divergence between the approximate posterior and the prior distribution - we can consider this the **regularizer**.\n", + "\n", + "* This bound provides a unified objective function of optimization of both the parameters $\\theta$ and $\\phi$ of the model and variational approximations respectively. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Variational Approximation\n", + "There are roughly speaking two things. Choosing the deriviative (explain)\n", + "Choosing the richest, computationally feasible approximate posterior distribution. $q(\\cdots)$\n", + "\n", + "### Normalizing flows\n", + "By examinining the bound above, we can see that the optimal variational distribution is one that allows the KL-divergence to be zero. \n", + "This one for which $q_{\\phi}(z|x) = p_{\\theta}(z|x)$\n", + "Where $q \\equiv$ true posterior distribution. \n", + "A *normalizing flow* describes the transfromation of a probability density through a sequence of invertible mappings. By repeatedly applying the rule of change of variables, the initial density 'flows' through a sequence of invertible mappings. \n", + "\n", + "TODO: Add in more explanations." ] }, { @@ -39,13 +121,20 @@ "text": [ "Autosave disabled\n" ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "ERROR (theano.sandbox.cuda): nvcc compiler not found on $PATH. Check your nvcc installation and try again.\n" + ] } ], "source": [ "%autosave 0\n", "%matplotlib inline\n", "import sys, os\n", - "sys.path.insert(0, os.path.expanduser('~/Code/pymc3'))\n", + "sys.path.insert(0, os.path.expanduser('~/work/git/github/taku-y/pymc3'))\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -146,14 +235,16 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 11000/11000 [00:11<00:00, 954.14it/s]\n" + "WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n", + "WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n", + "100%|██████████| 11000/11000 [00:14<00:00, 784.20it/s]\n" ] }, { "data": { - "image/png": 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PYW9MKjuPnzoNhcK46ZqLEQqE8PMNC/Gvz3yEkEDOh4aJdLZ1e/zoGwwIHqu9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\nl30NpB17zKNt6cDhyutQJ8qhSYoLGm1obDFB29LB+pq21Yz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9y+Ibz8qaRk7l8R+qG3Do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\nCAQCgRAT/H/XlEAKNMCB9wAAAABJRU5ErkJggg==\n", + "image/png": 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AoKamBoODg/k8hLJk0BtK+3M5U8nnRhC55I9/2wefb6zYh1Ew8hqmy4QW1Xe7bTAY9AU4\nmnHq6pwF/Twpsxqc6OnziX4u9jFxTPY4SvncJkMlnEM+oO9l4rhd1aitdaK6emp8hwUXI7vdjmg0\nCpPJhP7+flEITwmPJ1igI0tRV+fE4KAv84Z55MqL5iMSifPrKldeNL/oxwTk5rsp5rnla72qFK6Z\nUoS+F2W0CnQoHMXQkA/RaOWYntOde8HF6Nxzz8XOnTvxhS98ATt37sT5559f6EMoeRxWE9ZcvrTY\nh5GRiTzci3lu3HoVAH52Vg7fM0FMBfIqRgcOHMDDDz+MEydOwGAwYOfOnXj00Udx77334qWXXsIp\np5yCVatW5fMQiDxSbg93Wq8iiNIlr2K0ZMkStLa2yn6/ZcuWfH4sUSDK7eFe57KK1qvqXNYiHg1B\npCccLu37KdcU1cBAlDcTebgXM8+oZWUTAIg+myBKlYs/3gins6rYh1EwSIyICTORh3sxQ3vlshZH\nEADgdFaBYZhiH0bBIDEiJsxEHu7lFtojCKIwVI5nkCgLpKE8WrchCAKgmRFRYGjdhiAIJUiM8gwV\nBhUzkdAefYcEUfmQGOWZYi3YV9IDvNzymQgiF/h8Y1PKxEBrRnmmWAv2lVQdm0wPxFTkr+91T6lC\nqSRGeaZYC/aV9AAn0wMxFbFYptZ1TmG6PFOsBftKqjZApgeCqHxIjPJMsRItc/kA59afvIEoXHZT\nwdefKFmVICofEqMyJp1JIdsHeN9wABte3ItAKAa7xYi7rlmO6W47ALGBgIPEgSCIXEJiVMbk0mW2\n4cW98PgiAICoP4IN2/bisW+fByB360+V5PAjiHwz6vVMqbbjJEZlTC5NCoFQTPXnXK0/kUWbILST\nTCaKfQgFhcSojMmlScFuMSLqj4z/bDXy/+bWm4RrRhMhW/FMFzokiErHPa12yuQYASRGJUc2oaxc\nmhTuumY5Nmw7+eC3GnHX1cv517j1p8m2kc5GPPuGA7jv1++AC1JIQ4cEQVQWJEYlRjahrFy6zKa7\n7Xl/0Gcjnhte3AtptFwaSiQIonIgMSox+oYDaX8uZ7IRTyXhEYYOCYKoLEiMSgx/OK76szSEt+qC\nRmx/ozsn7jSl9RmH2Sj6vNuu/vikzi0d0nOzmPSIxpP86wwgCh1q3Q859ohyZdTrmVL16UiMCoiW\nB6XTZuAt1tzPHNIQ3qGjHowFY/zP4Wgct1+Z+YGthJK1e+HMatHnbXx5H1Z/bvGEzy0d0nM7Y/40\nHBsMiNawOPOC1pwocuwR5YzZbMbbB/qxwlmFqqrqYh9O3iExKiBaHpQNbjuO9gdEP3NI3WecEHG8\n3+PJ+pi4B7tQAIFUmEz6eScG/di4o11RcNTOTasjTvpZvmBMdQ2rEDlRBFFsptU2FPsQCgqJUQHR\n8qBMt8gvdaNJSU4gQU5JiADAYtZjNBAV/W4sEMWHJ1JVhKViqnZu6YRDSDZOO+l6ktcfwfqtbahz\nWeFyiGdj5VyTjyCmEiRGBUTLAzfdIr9UqA4dGcFYaHxNSQfAH4pmFR5TMgq4nWbMqrNj/4cjot85\n7SYMjYb53w16Q/zMx+sXCxp3bumSadOdm5LTjvss4VoSALBsShx7+nw469RaNC+up6KqBFFmUAuJ\nAtKysgnNi+sxb7oTzYvrs35QOqwmtKxoQp3LikFvCHNnVEEvWNdMsMi6b5HdInaouZ1mPPbt8+CT\nhACr7SbMrHOIflfnsvIzH25SptcxonOT7l/NEceJ8APfaMaay5cqCqrSLE6vEy/sDo9SWI4gyhGa\nGRWQXOQFSYuW2sx6BCPjZUOyXSNRS3ZVmsWtuWIZIpG4aNbxvV/8XbQ/vY4RnWO6ZNpskc6qTAYd\nli2sFX0fvlAcR8nAQFQA3pFhAADLTi/ykRQGEqMyQy424plBtmskasmuwrCZ02rEoV4PVv9oJ6wm\nA2bV2TDoDaF1Z6fMgi2d+eQimZZz6iWS4jUxu9UoC+/1DQdEsycyMBDlSjIZz7xRBUFiVGZIZyyL\n5rhg0OtyvkYinMXd+Yu3MBZIzUoisSi8J40NahbsiaJmD5fOBhkGcDnMuOvq5bLZ5sYd7egdHHcj\nZivOlKdElAqcm24q5BgBJEZlh9JCf7qHZS4erunK8KSzYGeLmj1cOruZ2+DEA99oVtyHmhFC6/dA\neUoEURxIjMqMbNedcvFwlVb0FiKdeXCON38oBrAs6qotmFnv1CSC/SPi0kf9ngD/GVpt32rfj9bv\ngfKUCKI4kBiVAPkMDSk9XLNtzcCZEKRONqOekYUFpY63EyMhnBhJHYP04S897zFJXpMvmIqZ56I6\nuVaRyWVbDoIgtENiVALkMzSk9HCVJqI+8sIeNM6owqGjXgAsmma7sPqy03hB5EwIUZbBv/3yTdH6\nkFQ01UJ6Sg9/6XlbjOLYeCgc4/OmJvt9aBWZXLblIAhCOyRGJUA+Q0NKD1epHXs0EMWew0P8z3u7\nhrF2SxvWrW4Wic3MekfG9SG1kF5Pnw/X//Q1OK1G3NvyMUx322XnqdPpAYw7iMKxJFp3dmacUWkp\nGKtVZHLZloMgJgNZu4mCk8vQkFLIT/pwlQqGDoC0wbHHF1EUgkxwIT1uzUivYxCOpazfLJuqp8eV\nBFJyBh466smYNyWdUXUdH+VnemozSxIZotwgazdRcHIZGtIS8rvrmuV45IU9GA1EoQNgNevhD0vl\nSC4Eo4GoaqFUDmle0Q+3vIOjA2JjAhfKk573qgsaseG3e0VipCTM0uOShgbJdEBUAmTtJgpOLkft\nSo40pdnSqbNcaOsYQAKAP5wAA8g6qzqtRtz5i7d4o8P8WdV4L8u1Lc6EIIRlWb6wqVDQNu5oF5kf\n3E6zojBLZ1R2qxFRwfvIdEAQ5UfBxYhlWaxduxadnZ0wmUxYt24dGhsbC30YeSXfiZPp9i99+B/t\nD+D2p9/iqxdwD3Hp7EEoRHoG+Niiehzq9fDJrlF/BHs7B0XvUZqBSI/NZtHB4xdvE0uwfGFTQL3y\nd7XdpPi9yWZUFzZi++vdZDogiDKm4GL0l7/8BX6/Hy+++CJ6e3vx4IMPYtOmTYU+jLwiDZXFE0lZ\nlYTJiFO6UJzDaoBHYiCQltHhjkOtHYVer8Oay5fipkf/lnY/SjMQ6bG5HWbR6zazAcHIuGAKBUjr\n2pnSTJLWgwiivCm4GPX09ODMM88EAMyePRvHjx8Hy7IVFReVjvAPHfXyD+B04S2tM6p07rvpNXZR\nORwlRgNRJNkk3A4zHFYD+kaCiCXGhYYLo7Eq/ZFsZgOWNE5Dy8om2TH3DYs/22E1YOGsav71eDyJ\nPV3jzr3jg370eQKY7rbzM5r+kQB8oTj6hgPYuKNd9j1QyR5iKsC56Xw++5RoPV5wMWpqasK///u/\n49prr0VPTw+OHTsGj8eDadOmFfpQ8oZ81iGfmSiRbsYjTFSVioRwBsE90A90D4uMAECqwrfZlGpr\nzq3NLJxVjTVfWspX1mZZlg+jAanEVqFQAUC928of18Yd7eKZkFM8E5peYxcJrz8URfvTb/H7jCVY\n3l3HzXg27mjH0Y4BeHwRXliF+5B+T7F4AkaDftLilG0yMEHkk2QyDovVPmVajxdcjC644ALs2bMH\nX/va17Bo0SIsWLBAdQQOAG63DQaDvoBHCNTVOSf1/tuu/jg2vrwP/SNBNEyzIRZP4J0D/fzrsxqc\nip/hlVQg8Aai/HZ3b/y7aHHfZNBh7owqNEyz4ZrPnoYtrx7kP++2qz8OAHjypd048OEIWLA4Y34t\nbrnqLPzw12+L9nPwiAfeP0exZH4N1lyxDD/89ds43OvlX0+ygI5J/Vfp+KXH7HaasWR+DX8sa65Y\nhir7uDDUAdDpmFTzpZOM+iMw28z8dtJ9Do+FseXVDn6fQ2Nh0et7u4b5f/f0+WA2G3DPtcq169Ih\n/I6j/ggef3Efnntgpab3TvaaqVToe5k4s2bPhrOqGgH/GGprnaiuruzvsihuultvvZX/9yWXXIKa\nmhrVbT2eYCEOiaeuzonBQfXW3lpZ/bnF/L/9oSiSCZYfuV950XzFz3DZTbKfue2kpXIA4N+u+RgA\nYOOO/fxM4XCvF5FIHGsuX4pvfWGJaPtIMCL7DH8ohsO9Xv590teF60R6HYMquwlH+0ax/tdvY0Xz\nLPScGBVtX1NlEZ17JBjBYHBc/PzBKJKStackC/x823v87Ed6DL39Pr7d+eFer2z2JeVYv29Cf0Pp\ndzwWiGraT66umUqDvhdltAp0MBQFdGEEAxEMDfkQjZZ/L9R0515wMero6MDzzz+Phx56CG+88QaW\nLFmS+U1ljlbrdrp8I2miqrBvUDYVHFpWNomSRKXvu+OqZfy/j/T7IJy0sizLh/iO9gew9/CgKISn\nVKtOSuuuTlnYT3rM3D5ODAVwYigg295pM2DhzGpRWwkhE7V2p/uOCYLILwUXo0WLFoFlWfzrv/4r\nLBYLHn300UIfQsmSTrTSdUzNtqp1td2kKEaj/tTMgO9j9PRbImcewzAQqpNUJNiT7+F+v3h2FW7+\n0pmi9Rs1oRzwhERmhTWXL8Wdv3hLlvsEAA3u1DpUl+T49DoGH2uqUxRELaaHXHalJQgiOxg23YJN\nCVDoaX45hhb8oShad6Z/0AofxqP+qMz+zdG8uH7cNOEJiB7Ojac4sfvQkOL71HA7zFh3fbMosVU4\no9GLl49En3/To38TdZEFUmtSXM086fHddbW64UD6udznKIkUWGTl1ivHa6YQ0PeijNYw3RNb/gsW\nqw3hUBAXfmwOTjllVtk76koqTEfkHi1hQGm3VLfTjEg0LnPciWziktI+ZpsZP9/2Hg50j4hyhdLh\n8Udw59NvgWEY2C1G3HzFEv5z6lxW9HsCONo/bgcXfr40bGbUM7jq4vm49Yk3wSLVcP32r5yBpfPq\nMh6HWihTycEIgBrsEUUnmYwjmUzAZDZPCUdd+a+IEZpQqm5Q77bJtksX4quyp0Svpiq9gUBKLMEi\nGk/C44/g4dY9AIA7rlqGNZcvRYNkJiP8/LuuWQ630wyTQZeaEd1wNn71x4N86I4F8LMX92s6Bul5\ncT8riRQ12CNKgWm1Daitn4Ha+hmw2R3FPpy8QzOjKYJ0XcntNKPnI3EIRVoLThrCuu3qj+ODY96M\nSbXpSCRZtHUM8FUpjg/4YNQzAMPAYTVi1YXjpaGkMzNAXj9Pa4xZzRwi/V5cDhOO9IvrF1GtO4LI\nPyRGFQInHP0jAfiCcTisBkyvsfPrHdKHcSyeEK0bCddiuP2tfa5N1Jph48v78E77RxmPZfHsKnxw\nwqfomuMQVqVIkXLqbdi2V9ZHSYi0oKtaBF1LKw1ALlLxRFJTsVaCIHILiVEeyEW5mkziAsirMggf\n/h5/qnrB3sOD/HqNsKLAD7e8I/o8p80gOsbWXZ0yx93ezkFVgTHqGdS7bahzWXCge0S0HXPy/8RW\nGeX9eHwRbPnPg6oVFW7/yhn42Yv7+TWjBac4sH5rGyxGhhdAo57BwlnVOHgklbwrXPfJJFLrt7aJ\njketWCtBELmFxCgPZNtGXPiAdDvMYMGis9crMhdw4iLcl7B9uBopUWAR9Uf4sjuAvLq39GfFityh\nmOLM5MEbz+E7rR7p98sEy2jQ4dFvf0rk+IvFE6LKCUI6jowgHBNXGW9Z0cR/R59YXI+WlU1o3dmp\nmGsUS7C8EEnPJ9PfJpeNDgmC0E7FilExi2kqLYCnOx7RAxLprbDCfUubymWC275vOACvxNodjsTh\nD0X5Y1Kr6l1fbcaIP8rPQO7+2lnY/ka3agIqkEoelTr+ODt633AAxwYDIoHjhIhj0BtSFJFsjAXp\nDAtCctnokCAmg3dkGOFQ6voMh4IVXzC1YsRI+rCPJ5LYcziVE1Noe67S6FrpYcqN9vd1ac/d4R6q\n/mBUVtPPqGcwo9aWCutZ5NW4uYoCD2/bLQuShaIJUZvxlpVN2Hd4AFFJA9g5M6rxE8n3OOg9rHq8\nRj2jmDwqFKcfPveOyN6tdM5KIpK2DcbJnkyZDAvSmQ+1JydKBc7aDWBK2LsrRoykD3ubWXxqhbTn\nrrqgEV3HR/nqz6subMTmV94XbXOgexj3/uptWZ6PFKtJD4vZAIdlfM0IkJfV0TPA4rlu+IIxLJxZ\nnWrvEI6KnnXLAAAgAElEQVRhw7a98AUiYBgGNrMBT/3+n3zDPCmi74gFYpJDYxgozhRcDvGMs8pu\nxDSnBS6HCQzDYPMr76ednTa47YpiJGxV0bqzUyYiwlmMdM3o7q+dhQUzXPwg5fGX9vGN+Lj30MyH\nKGWm1TbAZh9PEg0GKjuBuGLESC42mRvBTZRMIcDtb3SLqj9vf71bNiJXEiGTQYcljdPAsiyGR8Pw\nh+Nw2gxocNtlnyE9X7NJj/0fjgAQzwTXXdfMu+KODwVwfCj9DIQ7v7XPtclmT0a9TlFMpGGDuQ1O\nWEwG7P9gULT2s/+DQZyxoE52Lmr18uKJpGgb7rxdDhPiiSQvMHdctUw1BKt1/Y7aRxBEcakYMZI+\n7Jtmu2SOrFyR6QGnFFISFiAd8IQUKxgY9AwMep1ocZ4rSir9DLfDLFpfkgqHcME+k8nBYtLBajby\nzexC4ajieyxmHe78xVuyB7Z02/d7PLKusEBqLYj73oTn4rCasG51M9ZuaRPtKxpPoq1jQOYI3P56\nt+j733t4EHdfcxZ2vXtMNkCQ/i12dw7yzfyECM0gUrMHQRD5p2LESGnhOV+GhUyL4FJhHA2IC5DK\n6rPpGCSSLIKRBP/7TJ/BSuTHbNAhJJhtqS3YS3E7zZjb4MDermFRMzspegYIhROIJVIiKnxgOyXV\nrZWESHouSrPLdaub0boztYYmrEkndQRWS1pMxBIsHm7dzde46+nzIRSOwmoxYUDSgiSRZBWFRmoG\nUTKHUIdZgsgfFVEOyB/MXCg0l6iVluFoWdkk6rnj8UXQurNT9Hrz4nrMm+5E8+J6zKwTl+XhziPd\nZwyPihvMjQVicDvNmNNgR/Pieqy6oBEbd7RjwKMsRgyA5QtrsG51M7x+ea8kKU6bSWbZ9vojWL+1\nDe/3jGR8v5Defh9uf/ottHUMoKfPh7aOAbTu7OTNA8sW1qq+NxCKKYZcpelPB4940dYxoBgOVRIa\nu0UsqErtI7gZsfCYCSJfeEeGMTI0wP/POzIMn28MY2OjGBsbTduUtBypiJlRtnk9k0VpFiYdNTss\nBlHISThDkTq2Nu5oFy3gSxfnlcKM/rA4zJdESvTmTXfyrbvT2a1ZAD0fpRrWSUN+Ski7rwKpJFY1\nN5sSJgMQjZ8UDsmNdKB7hLeWC8/9+KA4bymRSKbajCu0QxeS5iVeaIR/s5m1VrBgEQzHVdtH5KNm\nHc22CDWEbjog5ajb2+0HwwQQCgZwyTkLK8pZVxFiVOjClkr2X+HDv6fPJ+tGKjQHbPnzQXT2egEw\nWDTbhX/9zAL+uIUPJFFeTjCKjTva+W1sZoPius6ho15+X5nwBmJo3dkpC/nli2iaQt/BSJy3lgvP\nnWsT4fVHwLIpkdnbNQyTHqKadtOnWWWJrkKMeia17iQQGmklc5tZj2ULa1UFIZuEWK0iU+iBFFE+\nSN10lU5FiFEpZM1LH/5cN1LpzKZ1V6eo8sCeriEYDDpRhYHWnZ2ysj9rt7zLzwR6+nxwO9QqZ6e2\nSZeDk+64tWIx6hCOJTNvmAV9w6nZofBB7nKYMG+6E+3dMcQE60ip/CcWyxdOw3e/vEzU02nAExSF\n52xmAx6+6ZMyMZCeO7dmxxVxlQpJy8omxOIJfiARjyfhD0Wh1MBCq8hQhXCCSFERYlQKWfPSh/+Q\nN4wGt11mO1Z62OzrGhJZm6UPrw0v7pWFpBxWA8BANjs6pcaKb234q2IIy6BnEJf8/vigH/EMhgMl\nGIaB22nO6NSTvQ/qlba50OPmP7ajvUd9liPkUG9qO+FsShqiNBv1iu+V5kfx+xQUcRX+LRxWE4wG\nPS90e7qGYNjZiQe+ea5sH1pFphQGUgRRClSEGJVC1jwngO3dwwhFEqJR9i1XnMlvpzRjicaTiEoe\n6sKHl19hwX16jR2rLmjEI9v2pNx6bEqguk6I2x8wAOZOd/IJn9t2deJgjxdJsCcTW8WJs+nWWoSE\nogmEopnXbqQY0mwfjsaxfmtbVutQUYXZmTRvyeOP4Lk/d4hmO6suaOTXzOTIyxFxszVptYzJikwp\nDKQIohSoCDEqBThB/M7P3hD9/p9dw1i/tY1/0AhDPaFoQrqOzyN6eClsdP7yBmx/o1vkhPOF5Isy\nLIAHvtHM/2w1G5FQ+dAsNGX8OKst+GgkpGnVyWrWg02yqmIUiiSyEiIASCZZ3Pn0W3BYDaitTpkQ\nvP4oIpI6RtLZTtfxUXgVKlG4nWbMrLGKZmbSck5CJisypTCQIkoTYW06KVytOinlXLuOxCjniB+0\nCZZFT5+PfwCuW92M7345lQArDScZ9QymT7OJyv4AqQf+iRHxRfnU79oxs05b98ebHv1bquX3l5bg\nQLdypeyJwh1XuvAbRyhD6aOJwCI18xFWNVdC6EoCICsUy8E5EpsXi+vaPf7SPtF2JoOONzsoQSJD\nTBapm06I0FnHUe4OOxKjHNM026XaGsHjS4WLuLBdy8omHO718CP0WIKF66QLjyt107KyCTPrnTIx\niiVYeDWu10TjSUT9ETzywp6sQmrZwPUXyrcvz+UwIRJLZC1sBoNOVGwvXYrGoaNe1LutIvOCNOy2\nbGEtiQ2RV8hNR0yK1Zedxru6Rv1RUTdVYNx6DaRGz9G4+KnI1ZcDUuGkg0eGkVAxrSnl/qQjX0LE\nUQiDeDAch91izFqM/CHt2wcjcX42C6TMC7S2QxD5hcQoA+nyRaSvrbqgkW8yV+ey4sYvno4fbH5H\nshYjfWSnf4Rn8xAtxMyk2HCzvFzCVUZXcgbyBoUJfLFUfJUgtENilAFpvsjuQ4Mwm/RYNNsFFiwf\nkuPWhIT27APdw3DajKKF8qbZLtH+04X1sqXShShfLJ7rhscXURQjzqAwkeTUdMVXqfICQYipiNp0\n+URq3U2wLIKROPZ0DfE5LhzSmmfBSALekzXjuEXx1ZedJtpm9WWnyao1pMPtNMNizO+fzagvPzdO\nlV1eS06I9Dtz2Y383+S6SxcruuKE/ZuyTU71B6Myk4Tw+qA6dwQhhmZGGUhXyUCa42K3GBVDSNV2\nk8heLYRrn8CtM42MBjGmEpoz6Bk0uMzo6M0cptLpAIadmF17MmtLOgaYQA7tpHA7zbjrq8vxu79+\ngENHvWBZFiGJtVunEwusLxhDMJLAqD8KfziGlpVN2Ht4UHTuTptRtP4nJFNyauuuTplJQlh8lSov\nEJlIZ+1WQmj3LkeL95QUo2xCJNzI+ED3sKwCtMmgw9L5NeNrRhc2Yvvr3TjQPSLqV+R2mkV15aSf\nJ7QBS/OUhMQTLDp6lRM1l85zwWhMrXtI264XkiQ73v68wW3H+csb8NTv2jULXDZiNrPWjmAkDpMO\nuG/zO2nDlNK/XYIFEifXn7jw2bobzsaGbSfXeKxGzKqzi6z3bqcZ1XaTJgODVFz0DETFV6nyApGJ\ndNZuJTi7dzg0UJYW7ykpRtL4f9exUay7vllRkDih8IeiuP+Zd0Qtu7kS7lzJH38wNXquqTLDHNbz\nXVpj8UQW6w3ZTyuq7Ebc8ZWP8T/7g1Hc+6t/ZL2fXBFLsGhw2/lzXNI4TfO6mNmoQyiqreZdMBLP\nuhyRElz4bLrbLupztH5rm2i7dDNc6QBHWmroY4vqReYFcucRmZiotbvcZkQcU1KMpKNWjz/CV4xW\ngnvQuBwm6BkdQpEowjEW4ViqE+mB7hEsaZyGWDwheujOm+5EPJHEvg/ED2Lp53P77x8JTCgx9JoV\nC0U/b/nzQcVOsoVEeI6dvdrqzAHQLESAcl+iiaDUuwhQn71IXXI/+fanZQMco56B1aQHw6RMKlKx\noaRYghBT9mI0EVeS0joQ9/AcDUTx5O/3iVo8CF1zQKrVADAuGsFIHG0dAyd/P46wBI0Qry+M9Vvb\n4HKYwDCM6nZSnFYD5k53or3bI/r9xu0HsREHMbvehmMDwZJw1VmMqdGZPxhFJAuByQa71Sir6Zct\nbqdZsXcRoD57kbrk7t/0FhwSQYslWMQSqWvEaNCTU44gMlD2YjQRy23LyiZ0HRsVJaRyo95NL++T\ntXiQrH0jqbqoIZ0eK2/nDcQU66JlwmDQ446rzsLqh19TfL13IKj4+2LQ0Tumepy54LS5LrR8dhE2\nbNs74VAdwwALZ1bDIenyKh3gSCuvS2dkvmAUjTOqVI0uZE4giMyUvRhNxJXksJqw7vpmUatyrk33\nPz+QL/pLtcek0stn0RyXqDK0NGw3WTy+CH743Ds521+5YjPrEQjFsOGFvfAFMwuR22nGmD8icxay\nLPiBjHAAo5RbdnqjG3odg5GxsKivEpBqya40wOEgcwIxEbJ103Fwrrpyc9SVvRhN1JUkjNn7g1Gs\nfa5N8wg7EpOv6+gZ4LpLF4tG0P5QFM/9uQP//GAYCQ0WMatZn3HNSNiefKoSjCRwdED791BtN+Gu\nq5fjkRdS7TaklusD3SPoGwnw1TMGPPLcMmGZJiEMUuHC1p2duOua5dj+ejf6hgPwh+O8gYXMCcRE\nyNZNx2Eym/H2gX6scFaVlaOu7MUoF66k1l2dWYV64grLO2aTAf5gDGu3tInKv9xyxZl8F9J9XUOI\nSkbVVpMedS4LfKE4HBYD/KG44uiaSA/DqBc/HfAEsf31bqy//mw4rCZZtfRgJI4Nv51YuI8FcKTP\nhyPUMpzIMZMplBoMZNeKpRQoezHKhStJKbSXrmmcyaSTzWAWzXGpln/hjlH6EARSVmZvIIqxQIx/\nbzZN7oqBxajD4rlu7O8eQaJEDjRdFW6u0aE/FEXXsVHFv6t0HUjPMKp9n9RIFyKmOnUEkZ6ClwMK\nBoO45ZZbcO211+KrX/0q3nzzzUIfggxpaM/tNGNGrU1xW5vZALNBL9v+uksXyx5oXn8E/tB45v6K\n5lmy/QXDMVHuEgDkx3s2eWxmPdxOM+qnWWE06HHv187KWIYnE4UsPXTwiFd1gGGXmBhOb3RnfW7p\nQsTcQCUaT8JzcqDC4Q9GsXFHO9ZvbcPGHe2ia4YgpgoFnxlt374d8+fPx+23346BgQF8/etfx6uv\nvlrowxAhDPXNanDiyovmo3Vnp+L6TDASRzAiz8Z3WE2yckAsC9z/63cwrcoCl8OEA93ydYdEUl5r\nO8sBuSoGPYN4DmcuwZPt1D2+CI72B9DWMQAGwJrLT8PmVzqynkkY9Yxi48BCw9m7t7/eLTKfSAcJ\nauh1wMea6tOGiKUDFaU6dYB2RyhBVBoFFyO3241Dhw4BAEZHRzFt2rRJ73OyFZCFob66OicGB31o\nWdmEeCJ5sv8QC5aFqN5Ztd2EO65chtZdnXwjvJuvWIIH/323aN9jwRjGguoPtaSC/dtsYGCzmiZd\nXSCXQqQGC2DjjoMTeu9j3zkPW/7zoKIY6XRAcpJTRJfDhCTLZhQVjy+CDS/sxV3XLAeS4jwiDoYB\nqiUV2DmWN9VnFA/pQCVTnTqq6k1M1E0HKLclL3V3XcHF6NJLL8Uf/vAHrFixAmNjY9i8eXPa7dPV\ndOPINLKcyI3tsJr4jqzccQjXe+pcVnlZoeOjGc5ejtJkIp5gFYVIzwAmkx7hSGLSia1VNmNakcw3\nVTYDek6MqlrfzQa9rNhpunU8KToGWH/92Xj8pX2aZjgefwQ/2PyOrOUHB8tCNTdsTKHJofSau/mK\nJfjlHw7wde9uXrWEv7aVirDSbImYqJsOkLclL4eW5AUXoz/+8Y845ZRT8Mwzz6CjowP33XcfXn75\nZdXttdyQmXKNcnFjr7qgEV3HR/mHyYqzZ+FnL+0TbZOLOmmA3LxgMuiwbGEt37xvd+egJqt4OnQ6\nJq0DLd+MBeN4/Hf7VV+PKtjns6kmbjbqFduFpyORRnDSMa3KIhs0KQ1Uqu0mLJxZnXp9Z2faIqyP\nS64tSpydelDb8Tyze/dunH/++QCAxYsXY2BgACzLapo+egNR1NXJ/zizGpyiB86sBqdoO2l7brX9\ncCi9tuXVjnGnnC+CX73yvqwS9GRI56CLxpN479AA9nYNIhbPjXp4/aW9SD7ZCKPRqMOWVzvQ5wnm\ntQNubbUFACsSHrPZILvmuOZ9aq/Xuqx4/LYL+Z8zXdPlQjkec6lgs5rgdFhysi8doqitdaK6unT/\nHgUXo7lz52Lv3r245JJLcPz4cdjtds1xTJfdhMFB+Sj3yovmIxKJ8yPTKy+aL9rOZReH5NT2A4yv\nGUk51i/+nTQ0o9cxWc9WXA4TXA4zRnzhjKGkJAskcyREU4GxQAxv7juRdhuTgUFU4TvVMSfFi031\nNHLaDDgxFBIJml7H4GNNdWhZ2YSn/tAuev+xfl9aZ53S69JrMtM1XQ6o3UtTHa0CHQxFAV04J58Z\nDEQwNORDNFrcfqrpzr3gYnTVVVfh+9//PlpaWpBIJLB+/fq02zcvrs+Y0Jop10gaYlt1YWPW60jS\nlgAWk16UwHrmghp8cGJUswMLAILhOOZNd+JIP92wxUAtR6raYeZnwWPBGPR6nUiIjHoG6244G9Pd\ndviDUXjGxA8M4bXKrQlJ6yBmStamqt7EVKPgYmSz2fDzn/9c8/aTvSH9wagouz7qi2D7690AtK1H\ncUhnb3OnO2ExGUQPk3s3vZ3VsUXjSdUF/GwW64mJIf169TpAxzCytT+pLXtmnYNPWG3d1Ymh0bBg\nHwziJwcpfLmpkxU4pAMfEhuCGKfsKzBkQqnUj9JicP9IABt3tMMbiMJlN8lmStJ9+IIx3H7lcn6G\n9fhL+xBRKJ46UerdNhwfojp0hSSRBJR8itIZ1IAniI072tGyskl2LSWSLPZ0DQF/7hAVzSVrNpEt\nk7F2S1GyegspBdt3WYmRltCadJu+YfkDnYvXCxeIfaE4jgrcTfFEUvQwcTvM6IG8IKvQNaWE1azH\n0sYaHOr1ZBXCUxOifC7GE8pIk3m58kKAcm8sQNzLKtPM2x+MYsufD4p6aF132WISrynOZKzdUqRW\nbyGlYvsuKzHSYtGWbuN2mkWvu51mUXxeKFrC2Y/0YbJ8YY1s/cofjOJAtzjMJhWLRbNdWHP5Utz4\n09z09mGYVA0niuAVnwPdw6h1WVBbbUEgFBPlRUmbJaazZrfu6pT10DKk6TxMTA3I2l3CaOld1D8i\nVn6b2YCFM6sVZ1PCm33jjnb0Do6/Vzoi6TjiwfQau2gfG3e0y+zdOolFm7NQ58oIN8n0oqJSqrO6\niRamDUYSfMmo5QtrcKB7RHWdL527Tuk6Fv6OqjEQU4GyEiOl3kXSG1VquQ5G4ppGmJzjLhiOwWYx\nIhaLA4LEy3AsiZ4+n2hGpvQQkT6LOBdeqT6IC0mpnr/VrIc/nF04RGrl7+yVVwNnGGBugzNjaxOl\nUJ9QvKgaAzEVKCsxUrLDCjPZe/p8sBjFi3ChcAz+UDTjSHL7G918mC4Si8hajQvZ1zWEjTvaZetI\nSnCLgtV2kyzRkSgNshEiPcPgzIU1AJsKp3FIw3IA4HKY8cA3msc/R2VtqGVlE2LxxPjv57hkoWQh\nVI2BqETKSoyU7LDSG1On0wMYfzCEY0m07uxEy4qmtKEO6X7SjeKj8SRfsdplN6LKYcKQN6xYkWF4\nNISNO9pTrbLDZNcudxIsi54+H+66ejkMhpTBRcnAwFUCF6K0NsS57rz+KJY01iiG4CbazZgob3Lp\nplPCYrECTMrAUApkFCO/3w+HwyH6XW9vL2bPnp23gxJ9foZ4ufRGXTTHhUNHPSJhGPSGMoY6pPtR\nq9AshEWqllk0zsJsNCiK0fGhoKhFto7J3bpPrltEENrw+FL9iLhackf7fbK/6bwGJ8CKC/2eGJqY\n6y4X3YyJ8iOXbjop4VAA55xWC6ezCgD4/xaTjGK0evVqbNq0iW/18Morr+CJJ57Aa6/lxh2WiUwi\nkil0BwCj/igSCXEOkHQmxO2HyzNadWEjHv7NbpEdu8puVLRnp3ocxaFnAJ1eB7As9DoG4VhSViIo\nl4VJSYiKh7DWnNHAyEo17ekaQnv3MD8T7unzQamPYCSa2XXnsJpEM/vWnZ1kYpgC5NNNFwz44HRW\nFd3OLSSjGN1666244YYb8JOf/ATPPvssPvroI2zbtq0QxwYgc7xcKXTXsrIJXcdH+TUgjz+SchAI\nkIY6uP0I62nNbXBi/4fjDfFm1tqhZ0Ki0i5CEiyQOJl9bzToodSz1WzUIZyD5FiaFeUWm1mPJY01\nOHzMm3UR2dSsJyj7vTQkK/2rS52X3L6UIBMDUelkFKPzzjsPtbW1+Na3voULLrgAra2thTguntGA\nvNeLELUwXrVd3JzOaZNbvDPxwfEx0c8dR71YvqAWDREzDh/zZehsKn7NZtajabYLPR/5EI5N3sig\nVlfN7TTD64uUrHOtFDHoGTx807lwWE246dG/Zf3+qMbBhY5hRNcMI/FY6nUMVl3YqPheMjEQlY6q\nGN11112i8hBz5szB66+/jrvvvhsA8Mgjj+T/6CAuwyNNWAXUR4zSNaAGt30CI0l5iG1P1xDcTnPG\nFttNs11gGAaHjnrBgoVBr8Oho15Zwzg1GAZwWo2Y0+DAhyfGZOtRap/u8UVo1pQl8QSLn76wB6fU\n2mEzGxCNax8sNC+ux/BYWFSfTo3T57n5eoajgaisxFQiyWL7692K16n0eh7whPiSRBSuIyoBVTH6\n1Kc+Vcjj0ES13SS78aQjRM52zY0wJ7Loy822kipOg0xN9PQ6Blf+fwux4bd7+cXpELJbiGRZAAzQ\n3u3J6n2A+qyJUOf4UADHhwJwWPWak2BtJgYrmmdhw2/3qm7DMIDVlJoVr77sNP76Xb+1TfE6Upvx\ncNfvge5hBCMJBCNxfhBG4brKJJ9uunS16opVp05VjFatWlXI49CEtLQPIB8xcrZrIP1NqhbeGw1E\nsfY55QeFVsxGnShvaaL4JtgWnKQIOGP+NBwbDGT9N/CHtA8aglEWD7buTrvNJxbVi65D7rob8MjX\nmIDxMLT0+lx1QWpwJZ3xpgvXUeWG8iafbjq1WnXFrFNXVnlGrEJojBsx7usaEvUXkt6k0hszFk/w\nOR9cW2iHxYB+T0i0n3SoVVVomu1K+5DQWo1BusZAaIMB8NVLTsWmHe05awU/EYx6Jm1YGUhVf7CY\nDHBYDJheY+e3l4af1Qrtqhke/EHxoIpMD+UH1aYrYZRcTpwLbuOOdtFNLr1JpTe3dBbKWXWzQeqG\nYpjUSJizlyslQwKpxnxKa0fSHKRkkoVRz4ABC41LTQRSQr9t5yF8pOBwKxRGPYO7v3ZWxrByg9sm\nqtKgtp10liy81pTQ2jqFIEqFjGLU29sr+51er0dDQwP0en1eDkoNt9MsSiIUhh2E+UYuhwnxRBLr\nt7bx28kqLExwwmHUM5hZ50Cdy4r2D4dFomI1GfiRZ8vKJhzoHlEsE6MWj7VZ9IjHkwjHUgfHQm4P\nBnKbOFuptPd4i/r5sQSLXe8cw5rLXaLfS8PKLodJ8ZqWbiedJQuvNSWUhKeQlRv8wSi2PN/Gt1in\nECGRiYxidOONN+LIkSOwWq3Q6XQIBoNoaGhAIBDA+vXrsXLlyrweoLBtQyyeUHTOKYXg9hwe4rfr\nOj6KeQ1OxTpyJoMOdotRNXdIyoza8ZHsU7//p6g+2aI54w8eh9WEJY3TFHsdLZrjQk+fTzZy1bpe\nQUJUXLihRKY/AycIfcMBbHhxLwKhGCwmPc6YPw2+YAx1LiviiaTiNS1N5g5H46KcN+G1poRUzJSc\nqPmE8qKIbMkoRhdeeCHOO+88nH/++QCAt956C++++y5aWlqwZs2avIuR8AJev7VN9Bp3s0svfJtZ\nPGPz+CKYWWNN5eD4I6JZ0bKFtXxYrW84gFA0AZtFD18wrhi2a3CPO1Cuu2wxDJJ20kK4n/s9AYwF\nYghH4mAYBh+cGEVIoXQQUR5oHQuMBqJYv7UNxwf9/Aw3Gk/i2GAAj337PADq17Q0mVupdXk6lCqT\nFHJmQnlRRLZkFKP9+/fj3nvv5X8+77zzsHnzZtx+++0wGAq75KRWMFJ+ocvDYB9+5BPl6ugZwGwy\nIH7SrMDd+FwFBu7m7xsOwBeKIRJNgGGAWDzBVwFXqv4gxGE1YdX5jdjw4l6MBqK8CGrNNZoMRj0V\nZS02auuQgdD4+o/0muYETCogma41Kdlun2uouOvkyXehVCWULN+FsnpnVJNkMonf/OY3OPvss6HT\n6bBnzx54vV7s3p3e0poP1ApGKhVLlYfBxF9mgk3VlFPrqim8mYXmiL1dw1j7bBvWXd8MfzDGh1/s\nFiPuumY5pgtmTv5gFD945p2idGUlIcoP0oRim1mPWCKJWBbdEy1mPb9O5HaYsXxhDbz+KJ8Iy9W8\n6zo+inWrm8tyraVlZRPMZoNozYjIjnxau9WQWr4LafVmWCW/tIDe3l48+eST6OjoQDKZxIIFC/Cd\n73wH0WgUNpsN8+fPz+sBcnXi0qEWwhD+LhSOob1HOYF03nQnvw5kspnx6PPv8r1lFsyswuFeD28q\n4GheXC+qfwek4vLrrmtG665O9I8E8NFwkEShAnE7zai2m+BymMAwDEZ8ERzt82kO350214WDR8YN\nFs2LU7lI67e2yRyY3GvliLDOIzFOXZ02u/a/72grurU7GPDh02fMyJkYpTv3jDOj2bNnY8OGDfB4\nPNDpdKiuLp0qrxxqIQnh7556+Z+q7xcmGq7f+HdRaRfhorGQQW9IFG4BUuEXaR4JUXl4fBHYzAYc\n6fOLjC+cSAnXiJToOCp2+nFhZqWOr9xrlMBKVDoZxei9997DPffcg0AgAJZl4XK5sGHDBpxxxhmF\nOD5VK3e2SGP3NrMB9W6reCa1q1NTjTEgZckd9UcRFTyM7FYjLdROEY4PyRuSOa2GlPMtHEW/V71Y\nrTQWwQ2GWlY2yZJbubb1z73aIXKIHu71Yv0NZ5MgERVDRjF6/PHH8ctf/hJNTakH9vvvv48HH3wQ\nL7zwQt4PDsCE7aHSkaS8RTgrE7hshOTQUS+M+lTOD4tU3by7rl6O7a93qya7EpXNWCAqaqSYCaNB\nh1dqWnwAACAASURBVOUn3Zzc9RqTVP/gFo4PSWZT3kBUUwdjgigXMoqRTqfjhQgATj/99IInu3IM\nekOawxVSu7fFyMDtNCMciSMUTSAYSchq2CmFSdQIRRMQSteps1yY7rbLeikRU4dMnYGlOKxGRZOM\nkCFvqjp3KCpPnlbqYFzOpgdCTDHcdFKE7rp8u+o0idGuXbv4Kt5vvPFG0cSozmXVnEwnneWEYyzC\nsQisJvGx9w2Pj2RXXdCI7o/GMDwWloVSMtWT4z+PlXfvzBVaa9oRucOgAxLJ/HzvDsv47ac2K/eH\n46prkHUuq+j6BVLh6FYFd6hWaG2qdCiGm04K564Lhwby7qrLKEbr1q3Dj370I9x3331gGAbLly/H\nunXr8nZAUoQVGFpWNuHxl/aJXle7idVmOdIiqL5QjF+X8vrCqqNbi0mPcCyhWkaozmXli1NKew+l\nQ0tpHx2TqhSRiw6xRHYkk5PrzqtPU+y22m7Exh3tvPNSittphtNmEM2yUy0pDFg0x4WWlU1Yu6VN\n9r7JrFtS5YTSoZQKpZZEntG8efPw7LPP5v1A0nHHVcvgsJrgD0ZlnV/VanuN938R14dLSJ78kWhC\nk/tNKVGVATCrzo7pNXasuqBxQq0ndDoGyQz27yQLEqIikcTkvnu7zQCwwJhCO5ADPd60M65qe6pG\n3dH+8dmPy5Fy7IEFtvznQfhD2it5a4EqJxDFQlWMrr766rRqWGgDw5rLl8oqEbudZjAMoziS4+ze\n/lAU9z/zjmL5fQCy6t3ZUF9txvQaO/qGA1j77Ltp7bzMyf+TDpKpI2tlMxaIocpuVHwt01/e6wuj\nb9gPPcPAZNTBbNKPJ8Uq1FkEJl+DjionEMVCVYxuu+22Qh5HWrjRmXSUVm03ZSyT77Ca+JI/QkwG\nHZYtrBX1NcqWEX8U/Rpzilj+/4iphtpASA2b2cALD0comkjbZ4u7nie7xqNW5YQg8o2qGJ199tmF\nPI60cKMzpUrEPR/5FLcVI5/+LFtYy8+cuEoNLocJh4+NIhAWGxBcdiPAMPJ+SgxZCojc4naasW51\nMx5/aZ9soCUNMQvhr+dgdFK5ecWuaUeMUwpuOo50bcqB3DjtSr65XvPi8QZi0lFbLJ6QZcArjeQW\nzXaJWj247EZ+O+nNt+XVDry574To/S6nBYBCcz/qwkrkmFA4isdf2odRhUaSQixGHRbPdcPrj/Ki\nQ91dK4tScNNxqLUpB3JXv67kxUh4I0mFQ1p+n1vYlY4MlVo9qI0W11yxDAc+HBaNSrnZltSdF0uw\n0OuYtCNWgkiHdG4djrH8deayG0+G5hjE4gnRmqTVYsTqS0/jbditOztTgzPq7loxlJKbrhCUvBil\nQxq2c1gNuPMXb/E3rXBkqHV0WGU3Yd3qZlnhVX8oppjMmqTZETEJ0l09LqeFL+D7g2fexvGhcWGx\nmXUZ+3gB2RsQKM+IKBZlLUbSsN3hXo/M0aaaTHjypusbDsAfjsNpM6DGaYXJrEf/cBB1LitvKQdS\nFcCVbNuT0SKaVRHpcDvN/Cx/wCOumRiMJGUJr0nJtTQRZx3lGRHFouBi9Pvf/x6vvPIKGIYBy7I4\ncODAhHsjScN2Nz36N9k20pEhJ0LS/COPLyLK55DeiNmGO2zmVGIiV9xSCS67n5ja6CXXgc1swJLG\naYjF1XPgwpE4WIn4WMwGnLHANalZDeUZEcVCV+gP/PKXv4zW1lY8//zz+O53v4tVq1blbN92izif\nw6hPxdrXb23Dxh3tKefcyZGfUIjUEN6IUlFzO81p31vvtuKWK86EPo3BJNOsyGxkoC9A5jNRXKQD\nknq3FWsuXyo3zAgIRRPwShLAA+E4QuEovP4I9nUNYe2zbejzaC/cCsivc8ozIgpFUcN0v/jFL/DY\nY4/lbH93XbMcG7ad7LxqNWJmrY3PIeJmOtmM9I70+fDNR16DjmEwzWHiy7M0uO1YdWEjtr/ejUFv\nCCNjYVmGPVceyGBgkIgpi06mWVFE5X1EZaOWypCJWDyJ9p7x6t5RfwQbtu3FY98+T/M+JppnpLTW\nVKf5UwklSsnanY5cFVMtmhjt378fM2bMQE1NTc72Od1tF914Urcd1+ZZmr1u1DOod9tQ77aip28M\nHl9qxMkiJRgJsOgfTa0XzW1wAAA2v/I+6lxW3Pgvp+N3f/0AHUc8iMYSMBp0OG3eNLSsbELrzs60\ngqJLU7eMmJowDBCPJ+EPRdGysgm7Dw1Mqm29tAFkJiaaZ6S01vTAN8/Nej/EOKVk7U5HroqpFk2M\nfve73+FLX/pSxu3cbhsMBm1VwkcDUWx6eR/6R4JomGZDQ41dNLKc1eBELC7/48YSLBpnVuOea5tx\nx89f58VIif0fjvDhtZ4+H7o/GhM15Dv39Om459qUA2poTLzobDYysFtNCIRicNpMmDPdid2HBjWd\nGzE1YFlgT9cQ7H/7EPdc2wyL2SBLwpZSW21RbQpptxpgsplF98WaK5ahyp5bh5w0ZMj9rLXFNiFn\n1uzZcOaxSnauCfjHUFvrRHX1xP7mRROjd999Fw888EDG7TweeTVjNYQ9YQ73erF8YY2o6veVF82X\nVf3mONbvw+CgDw3TbDjc61XcBpCv84xJbsLdHQO4ZcNrqHNZ4ZE8IGIJFmwSqK0yp9xQg3647EZE\n4kmEsqj0TVQejKRu4e6Oftyy4TWE01wXNrMeTbNduOxTc/Fw627FGdSsOgee2Pae6L6IROI5d8i5\nJOLG/Tw4OD4YJNt4Cq0CHQxFAZ22ztOlQDAQwdCQD9GouhUh3bkXRYwGBgZgt9thMOT246XrQV5/\nFA98oxn+YBRb/nwQ9256G5Go8kINF6dfc8UyRCJxnBgKYMATRJJl+TWjobGoLKxmM+tFNcOCkTh6\n+nzo6fPJeiclk4DHH4HHn/rZM9kTJioCt9OMuQ0OUY3EYCShul7ksOrx/Ws/AYfZiNZdnfjZS/tU\nQ3m+YAw+yXpmPhxyWtaayDZOpKMoYjQ4OJjTtSIgNeqSllBxOUx48vf7sP+DEZmIWM16WEwGOCwG\nvgXExh3t8AaicNlNuOeas0Sjto072tE/KrfZxpNJVNmM8IVi8pwjMsIRGdAzwF1XL8fzfz6o+T2R\naBL/8ZcudPZ6M/bOUqoeopbuMJkZi5a1JrKNE+koihgtWbIEmzdvntQ+pDeQUp06hmFU83wa3Dbc\nceUyfh8bfrtXltQqvLlUk2dDCQDKDwSjQUfhNyItRoMOG7bJr710xBJs2krzeh0Ds1GHptku0QxF\nbdZSqBkLtafIjnJx03EoFVPNxl1XthUYMpVCUWovIUTawlxK/0hAVOPO5dA+UuTK+fcNB7JuH0BM\nLcKxJMKx7BoyqsEly3IzG38wKiprJawoIqRQMxZqT5Ed5eKm45AWU822gGrZipH8hhGrr1pxUz3D\n4MyFNYotzIX4QnEcFYjdWafWonlxPfo9AXw0FEzbSG/Zwlq0rGjC2ufkLaEJIh/YzHrc//WPY/sb\n3Xj8pX2oc1kRTyT5yAB3H7SsaJLnAxVoxkLtKbKDCqWWCdIbaNEcFwx6nWzUFYsn0NnrRTLJwmI2\noMpuhEGvU9wHh9tphsNiEM2sPL4IX7Tyyd/vUw2TGPUMn2OUbQtygpgoSxprsP2Nbkm0QHx7D3pD\niiE5mrEQpUDZipHSDaQUgvjul5cBGLd9e/1RHO0P8PlGNrMeoUhCXMY/GkckKs7tEI4W05VpiSdZ\n3LvpH2ApmZXIESaDDnarUXVwYzXpVWb64muwzmVVDMnRjIUoBcpWjLK9gaQ34f4PhlXtsELTgTAO\nD5x07QXUxYhloanunRCjnkkb9gNSzdTCMaqqOhXh2om37uzEvq4hWfvxpfNrABay69Jg0OGsOW54\nfBF+wNa6s5NMBERJUrZilC3SkJzWEitc0UqO1l3Zhd+0CM3MOgcGPCFVEbMYdVg4s0pUd4yYGlTZ\njVh1YSM/+BImdgMpa3gsnsBzr3bIrsuxQAwGvY4PLwPaQnKUnFoalJubTkq2NeumjBi1rGyStY3Q\nAlfwlLs5B7KoCAEgoxABqTUqry+CoIrGJZIsCdEUZSwQw4Zte1FtN6HOZcWqCxsBgL+WEyywt2sY\nVoXGeqnthrF+a5tIVDJFFCg5tTQoNzedlGxr1k0ZMXJYTVjSOE00qnQ7zai2m+C0GXGk34dwJAGH\nzYhTamzwh+Ki0IaaBVyIntE243JY9UgkAQYMFs1xgWVZWW0vIVoEjahcPL4IPL4Ievp8iCeSuOWK\nM7F+a5topq+Wz8ZVclASFbUZECWnlgaV4qar+DyjiSANUay6oBHb3+gWzZhGxiJYcEo17rjqLP59\n0puRcykJZ1lahajKbsSPrz+HfwgY9DpZx06CUOPQ0dQMWUt7CWm9uwPdI6JZktoMSLrvUX8U/lBU\nNVRHYT0iF5S9GGVzI0hDFNL4O8egN4S+4QA2vJjqjSR1xi1pnIZBb0h0w2rtHj4WiOGeTW8jFE2N\nZHv6fNDrqG4QoZXUhZYKOw+nLQfksptFVUmEdRMB9WTXlpVN6Do+yq9BefwR3LvpbSxpTOXngQW2\n/PkgOnu9ABiYjDreYUphPWKilL0YTSa+rRZ+qHNZseFFcYkWPQOYTXoADMLROEZ84mq62QTSOCHi\n4CqB28x6mE0Gyk8iVJlTb8fGHe04MeiTheYYjF+HRh0wq96OudMd8PqjGPAERcLFDd6UnHUOq0lW\nwSQYEbdAFxd1FR8jhfWIiVDwtuO5ZjLxbamt1WbW49PLTkHLyiZZU7IEm7ohg5E49n84Iirz43aa\nZRW6JwLLAg6LIWf7IyqPzmNjaOsYwPHhkGwAJPw5lkz13jIa9HjgG81Y0iguTMxFEZoX12PedCea\nF9eLnHVqlu9BbyjjPabVLu4PRrFxRzvWb23Dxh3t8IfU102JyqfsZ0bZljIRhvVcDhPOOrVWlIfR\nOKcGg4M+2C1GRP3aZijVdpOsBYBwlKqVUDSB3sHU+tHyhTWIROM4eHQUAGDQM5hdb0f3R/4s90pU\nElrDwRzC0BsA9A0H4A/H0e8JoHVnp2pYW819qlZmizMDZVPBgVx76Sl3a7fFYgWYVI06LZS9GGVb\nykRaHLV5cb0oD4PjrmuW4web39XUFtxhNaDnozEwDKADg9PmuWDU67GnS7liuBY6e0chlLN4gkX/\nSPk02iJKA2HoTZin5PFFcLQ/9ZBQEgA196m0zBZOOkKvu3Rx1qYFcu2lp5yt3eFQAOecVgunswoA\n+P+mo+zFaLKVGPqGxdW5V3/xDGx5JfVzld0kWgDmsJr1WDTbBa8/ijqXFYeOejB2soFZAiyODfix\n/oZzYNjZmXGRWQ3lfCiyeBPaMeoZHB/wYeOO9rS2bTUTULqSW1yZrclALSXSU87W7mDAB6ezSnPF\nbqACxChbZLbVYJQPjfX0+fB/HX8RPfLdTjMi0bhIUJY21ogE8Pqfvib6jNFgjNeNuMYcocWzq2Ax\nGzE8GsaJoYCiTVynw8lWGQxMBgZeak9BSNDrGN4QE0uwODESwomREA4f82LedKcsaVvaSoXLZRIW\nHeZaT3BrPLmycFOBVkLIlBMj6Q3Q3i2uvi3VgEg0gZoqC8zhOJw2AxrcdrSsbBKNJqWRPJYF7v3V\n21nNiPq9ETz27U9g4452XhylpBr5pVgwcxq8H47ItrGa9Ugmk4jEaBY11TAZdDil1q6Yf+T1R0Vr\nmhajDmcsqFUssHroqJefmQvXcnK9xkMFWgkhZStGE020k94A3/nZG2m3D0biCA6mbsyFM6v596rl\nKI2/Ty5EVXajarM9jy+C6x9+TXMg7kCPXIgA9Ux8ovJhWRYDHm3rLjodk+pttLNTocSV+CrcfWgA\nfZ6ALMSnVGqIICZK2YpRrkZpi2a7FI0GegZIQpzB3jccwOMv7sbBI15ZGM1i1EGnYxCKJmQzJY6x\nQAwuh0m1BUU2c5kkFfCeUjAAapxGDPtiouvEqGfAMAxYlkUswSKW0FZ7MRhJ4P5n3uHXOoHxduWp\nfl/jg5oECzzywh5ZWRdhqSGuTBGRO8rVTWexWBEKZV9VpmzFKFdOnOsuWwzDzk70ewLwBeNwnSxa\nqpR46g/HVUNoVot6vxkhSu0nMpUSspp0MJsMCEfiKcGT9F8iKh8WwJBPPKs26hk89p3zABa491f/\n0CxEHEIhAlLJ16kZvXx2PRqIqg6ygPEyRUTuKEc33biLboYmB52QshWjXDlxpGG7ujonbtnwmkhY\nTAYdli2sRb8noCg4bocZNrO2ygnSG5phUiGTRBo1iidYhASzKa118IjKJp5k8fhL+zDqj2ZdjT4T\nOkac05Q5b44uyFxTjm66ibjoOMpWjCbixNG6ziQVumULa/kcDS43Q4iS/VsrLJtyPUlvfiHSqt0m\no15WUoiYerCsPPlUDYuRgdWsnKpwyjQrgpG4yJ1pMTEIRsavO5tZD39Y/Zprmu3K4sgJQk7ZitFE\nnDjSdaYD3SN8F1ehKHHC1j8SgC8U53ORVl3YiFA4qrhm5LAaAAYK9ewMMBl0aVtEAIBBn5p9aWlV\nsXiuGwBwsGeEur8Smvj/2zv38DbKK/9/R6OLdXPkW+yQGw6JSUjAufwMC1ma7nYf8mNpF1gg5QkN\nXdLSkgLdLpRLd1kCoe2WptBfKQXaJYHFLS0LNNnyUJp0d0NooW1MkxgSkjhOnMSJsS3bkq37SKP5\n/SHPeOadi0a2LMny+3mellgazbwazcx5z3nP+R6LxYJHv9CSEeklklzCiRQsxHqQAOW6UZW3Amkh\nrkrMEaMGNC2bMlGmrDEaD+S6UjSRQtvRfkVdxZx6L9Z9csGYJzRarS6uFd1z80oA6my6hhq31PuI\n9LzCMS5rTyRBEKTGaaJkSziWRJJoMV3ldeC2v10MCBnjevC4n/Y7omRFEDITuGWNNarrMBRNqsLH\nfEppdBpq3Giocas+K0YNKJSJMq2MkV4PGLKuIpFIYdN1ywyTJPSq0/WkVTZdtwydT7+rG9JL8gL+\n8386FZXtpMGr8jrw6MYWeJx2w9RyvVbnRqnllPImxacRjnHYsLZJNYGxMIxK9koAg5bFdYreXy//\ntkMKJ1sY4KL5PoVHRIbBv7Z+VcG+XzlSqtl0ouacFmZ16LSYVsZIvHHUEj3KG1GsnxgmUrDJFuS5\nVqffd8tybH050yPJ7bQhEk1AvvST0fpSj1drn0bZg1arBe4Ki0qhIZlMG65NUcqXJC/gn576PRx2\nKxrP8+LE2RHwQkaAN611QTCMqvfXoa6A9HdaAJwVdsU1TobBn329HRuvXjx5X6rMKcVsOlJzTotc\ns+hEppUxEj0UMWwmPuSTKZ7oz8JLHhSpRiwPt+Vand5Q5cYTd66W/v7KE28D/FgYLpbgM2tTox1o\n9Qxe31AEHw+ShYpQ7CfNp1UZUDTpYXqTaYOSQkf3iPSanlxVmk8batoB2csr+ob0r1FKdkoxm24i\n2XLZmFbGSIQMp8mNk384hkhsLE12htuuUPVWV6FnWjmTle/idqQnJTc0fJoMjQBtR/sV4Tc9g5eN\nRIq6P5TxwwuQrjWtVuRAZqImh9ymvto1+QOllA3T0hiRyI3T9reO4vftPdJ7wxEO4RgnhSPIG05s\n5Uwi1j2RHpO8nbNZRGXlw4SOXqFx2IB0Wns9ilKeyPshHesOKNYcBWKdiQwrb7qhGQmyDSyFogM1\nRgSbbmjG4ZODksEIhBJo3dUhGSv5DUe2cmYZ4Lxat5RZJ24nh+wgawZRWXk8rSjySSIJ0OLG8sFi\nATwVNpUSgxx5P6Rqb4XCGJGyVmTEodJtR9dAaFwakpTpBzVGBJVuO2a47QrvRW5Q5DccmdHGC5kU\nWIWiA+FJ5dJBFhhraEYqK2f7zHA4QRMVKIak02pJICCj/M4go3d3rDuAR174E+qr3KjyOHAKuame\n5ENDcryiyJSpBTVGGpiVGrr+E43Y3+FXrP2QnhAZurh+TSN27M2sGQ1HOMOQnTyVWy8tncyOW3a+\nD/fcvBJ3fO9tcClaEDvd8LpsCBl4OmaosI9JW8U4HiORJM70RVBhY1DldShaqWRjPBqSpPGRJxiJ\noW55UlG5GqZSSe2Wp3JPJHU7G9QYaWBGaigc5bD15wdVSQik4dKqPRL/3vJim64xcjlYyRDJxyQK\nunoqrGiocUvGTSyUHYkl8ezOQ6iws9QYTUMmYohcDiuWNlajd1BbgzGeFBBPJqRWKmbKGcajIUl6\nU5mGkmMERoWM89FTqZQphdRurVTu8aZuZ4MaIw30ilflM7bhMKcqYLUwGWMhT4k1Qs/bAYCljTWK\nzxvJH4lqEW2jahFn+iK4eEE1zvojCIYThmrLFAoA+Nw2bPniZVJBtZ46PSCrw5N59nqGYcPaJqT4\n9Kiqt4BkilckBGmh9p50Kiw1ty0fSiG1ezJTuUmoMcqCwgBlCaulBeBMX0QSU9UzHuI+ewcjUtij\nptIJQRAQDHMqbyxbzDwc5XDopLIn09BIAk/cuVpKW+8biqBnMGq6DTqlvPA6rYgmeJUnL5JIptG6\nqwMb1jZJ196Bjn5oOdfyOjw5WobB47TDylokhZODnYOKhCAtyEnahfN8klwXOQkcr1o/pfQoijH6\n1a9+hW3btsFqteKrX/0q1qxZU4xhaD7k64htcqntkWM0YyP3Ke8gq8ULbx3FgeMZYyNvZCaO/3DX\nEGKc8qkhdu8UPapndx7Cmf6JxXvtVgsN/U1RQjHjFhMxjkfb0X50nhvGoxtbFN62CMsANqtFV5xX\nzzDkum5kpDxCFqxTgdbyoeDGKBgM4kc/+hF27tyJSCSCp556qmjGSCvT5+HbL1dsY3Tj6GnAAdrS\nQWLBazvRWba9c8AwtEc2Ljs4un0skVRItMiR14BkapS025Rn71MzBjVE5Y9YyrDhqkx4jbUwkjfF\nC0BlhQ3x5JhnQiqUaJHrupFRSHo8av2UqUHBjdF7772H1atXw+l0wul0YsuWLYUeAgBoFpFqGR7y\nRpLffPLMOJ/HDoZhEAgldKWD9ApeuVRampV6KqwIx1OZ0J3XCQGCqnGaIKuO18PrdkjG8MMTfsST\n2iaHBu0oJP5gDK27OyRvXM5IJAEbywAMA0+FDfetX46GKrfh/jasbUIyxY9qLzJIpTKiraLyPE3Z\n1qYUsunisShCITe83kpV2/l8U3BjdO7cOcRiMWzatAmhUAh33nknLr/88uwfzDNaRaRaMzajkAFg\nnMmTa8FrQNbuXExEyBUGGfFLp82CzdvbJtT4jzI9GY5wSAvaXjCfBjJN7wUEwgm88OYRnPo4hCQv\nwMYyuP9zK3DBLGWjPY/TDpuVle63A50DsO7qAIAJ1yCVM6WQTWd3OPCHw324qgBJDAU3RoIgIBgM\n4plnnsHZs2dx6623Ys+ePbrbV1W5YLWyuu+PF7LZndtplSTv6+rGMljsEQ4OhxU2GwuHw4qaGi8q\n3dlnbxkZIaXxqXTbMTAcz8PotamudGDR3Cr86XAveob0Z1SsRaHPSqEoCIQSICfBDAPNrMzjZ8dE\nV5O8gK0/O4jXH/8MhiMcHn+pDX1DUdRXu/AxIZraH4zBblPe18EIp7j38sVwhMNzr7dLY9l0Q7Op\ne7jYzJk7F94CZLFlIxIeQW2tFzNmTG5mX8GNUW1tLVasWAGGYTB37ly43W4MDQ2hurpac/tAYHKU\nf33ExXjR/OqMjpbbDr9/LCwnX8Q93h2Ueh0ZEY5y2PyCsoaoyuvAPTc3S2E9tZSQuqdMrrgdVnzY\nqQ6tkHhddpWUixEsA6Sh/TAyS4WN0Q0VUkqPoZGEpMRw4TwfBEFQKNvrwaXS2PLvf0CKT0thvuPd\nQVVydo8/jOWLlOlCPuLeyxfjuYcnE7MGNxrjAMvkTV7NEo0kMDAQAsdZJrwvo+9ecGO0evVq/PM/\n/zNuv/12BINBRKNRXUM0mZgpbBXfN/pbi9bdHaq1oRluOxqq3LpSQl63DfFESpGpZGEAu5UBwCCR\nTGdd3xkciSOh0SaCQWZm67CxWDy/CgPBWG7GiLWgssI2oZCf3WqBxYKi6+tRzCO2Jz90chA8L5hO\ndmk72g+nXen1kJ9L8oLpe3C8iGumZMJQOdcmTWUKbozq6+uxdu1arFu3DgzD4OGHHy70EACYz8oZ\nTwW5XiKEnA1rmxQJDcEwB5aYPqYFjHoTApad78MZf8SwU6veg15AxquJcTysrAUNNW7dokaGAZx2\nqyJpgkulc9LT02IkRo3QVEUrY9TlsMJhZ3Xr7rik8e/NMubuwYno0umVZdDapNKkKHVG69atw7p1\n64px6JwZz+xNKwOP/JzHqRZkFe95l8MKQFAYl3Ccx/+7+0qpzuJw15Aqy07EaWcRT/KaYbXDXYOo\nqazQTUv3eTJ6eK27OvD+sX6q3kDRpHaGA36D9U+b1QJepx4JAJbM9xn2+pIyUicgtEpOCu1WC5oX\n1k6Z2qRCZNMZtRAXmUw9OjlUgSEL46lryJaBJ6IvBySgaa5PEaOXS/mL3WoffO6PmgYpxad1jUg0\nwSM66hVVeR1w2iyZhwrDwOPMpOqKx7jr+3tpWG2awjLA7JlufDwQ1Zy0fDyo/XqFjYGzwo64xnWZ\nrWuyPFIg3hfjCZOLkPdX88LaKZWtN9nZdGZaiItMlh6dHGqMJgGzBkw0WodODipagkcTPBiGQcvi\nmboemcdpx9LGakUYQi90wloYnFfjwuBIQmG8yC62JKRBLASsBbAAMJhUUwpApduBr9+8AuF4Ev/6\n7/tUMkJ6xd4Wi0U3dJetazJZ+iBe+7mGyUWPqy8QQZXHAY/TqugxNlWYbG26QurOmYF95JFHHin2\nIIyIRs0vtOcDt9sx4WOGoxy2vXkEb/3xND46FcCS+T5VGisA2G0slszz4XcffIw4kXhQYWfx9ZtX\nYM3y2WhZPFPz80vm+zAwHIfdasGiOT58+dqLsGf/OSSJvO3/c+FM3Ld+JU73hdAzMOZyn9/gYyiE\nTwAAIABJREFUxf6OAd1xLm2sxh8P96nGZgaf24ZFc32qduwiWpEBn9uGxzddgT0HelTfgTL5yH+T\nOMdjYDiOv1oxB6c/DqF3yFxWK2thkNLRv5tT68LBzkHperNbLeiVlSBUuuyKa41hGHzhM0swEklK\n1/iGtU2a94KcbW8eQdvRfgxHkohzPC6cV4VN1y3L+rlC4XY7sm8EoP1oD2x2c9uOh2SSw7x6LxyO\nikk7BonRd6ee0SSgF+fWWoxt3d2hmdlmZgZIemDP7jykCtvZWEZSEr9+TSMAZFoEhOMKr+dUbwgH\nj/vRUO2SZpEepx2PfqEFL/z6KI6dCSKRVAtt6mVY+bwVuP0zF6F1V4eq5xN0PlPpsY+GM+lCVTGw\nyKR/AOBw1xDCMQ7JlLGunciKRbXo6hlBPKk9mTs7EEUwnJG2OtUbwopFtQrv//o1jdj68kFF4feO\nvV05h9YmEtqjFA9qjCYBvZtBy0hp3ShaCQ/jOS7LZMIppJK4XouAJC+g2x+R3tt03TJ4nHbcfcMl\nAIDHXnofXT0jis/omY3hCIcnX2lHnc+Jel+FYRGuSCiaeegtmOXFoVPBLFtT8o1ALDRGEyls3t6G\nOJfdGNlYBn/7F/Pwbz/br7tNNK7cTyCUUIWJjbosm2U8oT1K8aHGaBLQuxm0jJRW5p28qd5Ejusg\nUrTF45u5wbW2GTaZ3m1jGUUDNBuZs66D05YpqmMsEy+uo+ROWshMYOTLQUYtU+QkeQHfffkA0gbR\nVbfTBi5k3P4hH4ZksuuXCsVkZdOJGXSFypIzCzVGk4DezaB1oxnK5edYY0HuK5VK44Cs4E+8sY2a\n+pHbytEqqNUiI6g49kRLmiyYjI7u/8S5kSxbUiYNPd0fE5BJDQyA5oU1GByOIxxPZUoWBBgmFOTD\nkJSLsvdkZNORGXSFyJIzCzVGk4DezaBnePRunFxrLOT7Ckc5bP/1kdGWzRlJF/H4G9Y2IRbncOR0\nEGkhI6xaU2lHIoWxduafaFS1lDar2qvVasLM4y2j58eZ3JoyGfBpwbA1ihHkhMPnzQikDo7EEU3w\nkpe1cI5+/y7xGu4djGDrLw7i6z96D+4KG+67Ra0OPpGC2KnAZGTTlVoGnRxqjApIrjO2iSzEtu7u\nUCQoWFmLdKN6nHbcc/NKw8/L5YpO9YZwvDsAi0X5gHLaLUjxwrgeXFoIAvDCr4+CRumKy6xaF6q9\nFejoDmatM/O5bfC67AjHU4qQno1lsGC2T1MBIVv/LgDY+ouxRAYunMDWlw/iiTtXK7aZSEEspfSg\nxqiEmUj8fKIZReT2wQipQG6DhWEQM9C4G0/ER6uHDqWw1I96IGYKnoORJBbNrYI/GFMYo9l1HoxE\ntK8NsX/Xse4ALjhvBgaHYwhFU4rwHVlzpNV+hWbNlRfUGOWZfIYOJhI/93nshn/rIY5frz5IxEgj\nb+yYDtML4JTi43JYsbSxGhvWNuHJV9pNf04rEeecP6wuAyAmJyORpGLyEQgn0O2PoPPcMCrsrCLc\n63baVMctZtZcuYcIi8G0NUZ6uljBCAef2z7uiyufoYOJLMSS6ztm13v0xCVzgWWAiy+owbpPLcQ3\nX/yzroYeAHicLNJpquZdCsysckrXm1GSC9nuhEzEOecPq0K3VR4H5sx048OTQ1nHEQglcPGCapz1\nRxCJJeEelakiKWbWHA0R5p9pa4zIi0mrJfh4Lq7xhA7yOcsS93W4S3nTH+4ayhqn1xpvhc0Ci4WB\nAMDpsCIUTSKpkaAgZ269F1+9sRkAVJJFJAtn+7DxmiXYvE2/K22l22bKE6NMjGAojt6hCHa804Uj\nXcrfrKHKjpFoGoCABbO8sNmsCIQSmok4d3zvbZBJKIFwAoKQNv1bhqJJ1RoRid5krRBeSyFChJOR\n2h2PRSEIDXndZ76YtsbIjC7WeBhP6CCfsyw9z0aM0wPAhquadG9Wcvzy/kqxBI8qj0NlNMjsKzEr\nzuO0q1plkBzsHETrrg7cd8tybH5+n2pG7XPbMKvGhUh0ZMLNBynGBCNJfOdn+zWNRW9gbP3n0Kkg\nWhbP1NU1dFfYNFuOBCNJLGusgtNhgz8Yw1AormuYhiMctrzYNi5jUgivpRAhwslI7U6nzalpFINp\na4zIi4m8gcZ7cY0ndJDPWVa2z/qDMcObVRyvloQPAMQSSVy8oHq0FiijLr7uUwtVMi6tuzokBQey\nql5rTB6HDRfOnaFQXqh0ZQzRkTPD5k8AZUKY9UDJjDi5NzJnphu8kEYomlQlsJzoGcGyxhoAQJJQ\nw3XaWdRXuzAc4RRF00BuxqQQXkshQoSTldptNmRfaKatMSIvpuvXNGLHXuWaEYkZ93886zykYZR7\nFrmipegQIKrejW5Wcfx3fO9tTWMUT6ZRYbfi6X/6hOJ1PRmX3sEIzvnDhmP2eeyqNu0AMBJNIkQN\nUUkietrvH+2Hz+NAQ40TR06PTSRWLKrF1ze04NZHfqO4jmIJXjdsG+N41PmcSAtpU5JAevdjIbyW\ncimsLSWmrTHSupg2XbcMdXVe+P3aC7f5dP/lN5LPY4fPY5cEU+WeRa7oGVnxOCk+jf6AUoGZvFnD\nUU6lUyaHfDiEoxyGiTRecZ9bf3HQsA7JYWNwuGtIdxsamCttBGTWg8jQ7bEzQVS67bhkQY1CBSQb\nbUf7UeVRKjvrGRPyfjx43A+GYeByWLHsfB/CcX5KywFNN6atMRoP+XT/ybWdTHfXie9bz8gCykJW\n8ZhiKi85NiMDQj4cWnd3qAoeRYVwrfoQOVxSoAanhLFZLRAEAamcC5sz2992zWJYd3WgvXNAU5lD\ni1giiRWLahEIJaQJlNb6EXmPZK5ZAVyKA2NhsiZAUEoLaoxyIJ/uv9rYKG/2yQgtkMeUp/LKPTWj\nGiMtRXGth8KOvV3YcFWTysPK9DmqyrqAXc5YmIwoaamzYlEtrKwFBzpyT/VvmusDMDY5IidCQCZL\nEoBqbSmeTMPKWvDwP7TgqdfapVqkU70hHOsO4JtfvEwzHCcn2yRoKjDRbDqtluKlJo4qhxqjHMjn\noiV5IzXN9cFmZSd1QdTImJqpL7JbLfjK9UvRuksZp9d6KLR3DqDz7LDCw7KxDO7/3Ep4HDa07u7A\n6T5jsdZyxWFjFZ19zWBGaDafOO0skik+Z0UMhskUO6/71ELF6xvWNiGZ4nGsOwgumYaNZZBOp8Gn\ngQobi0SSVxhosZdSR7eylchIJCmFsI1qm7SKZKcaE8mmM2opXkriqHKoMcqBfC5aGql1Z0MUkYzE\nkroiknJEr6d3MIIqrwNelxX1VUrVZNK7cTlYpHhBEVrhUmk8s+OwFJITDdCGtU3oPDusWDfgUmlV\neq/NaoGnwoYXfn20oLI/HieLaJwvGW/EbLhKhAFQ47VhIJT/2b5lVBWBPDUOm2Vc6umCMNYU7+Im\nWT2LANisLBhkGvjxaQEw+DrRRAqtuzqg1RNYvFbl92NvIIKtLx80LJLNRqmpKkwkm66UBVH1oMao\nSEzEsJkRkZRDej0LZ6tVk0nvZulo+i3pLWnVY4kdYVuzrA1EEzxad3Xg2BlzjfPIcBZZ+a8FwwBe\npw2AgDiXRoUj02o6LZSOwkM6x3opAcDgJBgicedaoyG1CEkWzanE8bP6xqrtaD/u2vq/mCnraJzN\n8ya9v0MnB7FwzgyVagMZwlZNztYbT85IxgrFByUlkGwdmqn0T/6hxmgKYkZEUo6ZxAsxjJIJizBI\npdK46VMXqApW9eqxjNYG1Mc29zD2OK24cF61bn8mLebXe6VizHCU00wZHw9VXgd4Po2R6MSNwnhq\ndyfLqcvNRxvj5LnsIdbTvSGcNuhoTGIhGvvFOB6HTg6h0mVDkk+DQSacff0nGvHD1z8YndQISHC8\n9DkzkzMSPUNp1KGZpnXnn5I3RmYkbKYbpEHQi4+PiZ4ap3IDGWNis7LSzPBA5wCsVgse3dgirRHV\n17gRicSRSKZA9kgS2bC2CYe7hnT16Op8Tvg8dkV7Cz1muB2Kmz4c47JmZskFYcksPxGnnUWF3aor\nP6Q9Fju+dO1F+M5P9yMUTWaaxLlsiMSTht1Nc4XstFqq5KKGcejkIATB+CSRhkhEQKberGXxTEVW\nqFGYNxhOSNl3ouZk72AE4XhKEaLWy8oTMerQTMk/JW+MxBkJnYmMcd8ty03Fx8kZH8swcNhZpFJp\nzaJa8ibrG4ookhUAQaGQIO+RJOJx2lV6dFVeB2a47YrEDHG/wVBcNyTUUKMMtZjxvuQFlkYPjfMb\nvJgPD4JhTqr4N6IvEMWOvV2YV+eWzkEoD14Sid3OIlZmorFmkjWyrefJf8tsxkAQMh6MluZkIJTA\nmb6MMvijG1s0s/LIkodiqYOPN5uuosKJWKx0s+b0KHljBNCZCElDldtUGII8b7wgIJpIZbwejaJa\n8qYLxVI4IwtPeAgPTO93MZOcIR57y4ttCmPkclgxs8ppmFEovt43FMGZfuVNd+LciK5HKBLjeBzo\nHJD01cIxDvc+/a5hbZWoHMBOspKK2dbu5QLLZEKF2RwtuQHQyt5kkEmQ4fm0wsPSC2EHQglsf/MI\nvnpjc9brtVjq4OPJphvLoptVsllzekwJY1TIPiXlhFEdht66kfhenc+J3sGIYlZJlqfq/S65JGeo\nEyeqs35W7iGRxkiAoFonYi2MprTR+8f68cPXPsBt1yxGQ7UL3f7ss8k8RuS095/HEF0p1zO5HCwc\ndqup9TwxzVwuvnuoa1DhQc6td+OR2y5Tec1upw2czjHEtPFs12uxpH/Gk003FbPoREq+wXPL4plU\nzmOcbFjbhOULa+BysGAJcUS9daNN1y3Dw//Qgk3XLVOFyawsA5/bBrvVgiqPQ1JZmOgYWxbPxPkN\n3px/ay2DGk/wqgfceTUutCyeCddoZp2IIGTWxlp3dai+qx6kd1jKXHJBDb795ctKro17ldeB79xx\nOWa4ld6ynn5njOMldXcgc52KYqsioWgK4Rinup7uW78cLYtnYm6d1u9bmoKh05WS94zoWtH4IZMS\nAH0JIC3I9g/D4bGQBxdOSCoLrbs70DcUUbWO1ko60UqTHe9vrOX5aTkCDTXuTIpujMODz/1B1civ\nvXMAF51fJUnQ1Pmc6BmI4NyA0lOyMEB4EtaJJouDnYNo7xwsitySz23DvFmV6OweRiyRUozB67Jq\nrtU0X1ADhmGkLLl0WlC0MJFPPq7/RCMOHvdLoVW5nqOeHNYPX/tAkY154TxfHr8xZaKUvDGiTAwj\nCaBsZGv/QLajAMZaRwPaE4l8psmKBlVeH0Iily/KJFfUqJIfuFQaBzsHRwVrMyKdM31OlTFiGMZU\njVApZcQVYhgWJhMKFQQBXrdDqvPZ/tZRzazKc/4ont15CKuaavD+0X5pjOFoAl+9abk0iSFDbnJv\nfsc7Xao1vnP9Idz7o3d1i8FFnbxidIalZIcaozInl0ygcJTDC28dxZFTQ0im0rDbWDhsrO72Wu0o\nRHoHI3h25yHVonCuabJ67eHl+33ylXaVh+RysFjaWKPy0K7/RCMOHPdrCn8GwxyCYQ6nekNYPLcS\nPrdNkVxhY7XXnuTYWAaPfuFSfPM/9iGamLjh0pMBcjmsiHOpSV0TMrvmlBaAGU676uHfN6SdQMKn\nBan9hHz3nT1hhVr99Z9oROe5Ycm4yMPCWteNfzguGSgunMDm5/fhibtWS7+/GIYWr6knX2lXXJu5\nKptQ8gv7yCOPPFLsQRgRjXLZN8ojbrej4MecTJbM92FgOA671YJFczJ1QXYdA7PtzSP4c4cfqXQm\nVSHFC4gneViYTMvxSxbWoKHahQo7K+2r89wIegbUC/8sa8GJnhEEwxx6BiIYGI6jZfFMfHQqoNie\nAYPVFzcYjqntaL+0n/0dA6r9uitsin1WeR341u2XYfXFs1T7bd3VgbMmEhUCoQQe33SF4twFIwkk\nZGEjBsA9N1+M490jSPFpVLrt+JfPr8Kre06gu1/7QUyS7Vnvc9sRT6q9viSfhpVldI2Fy8EaZgdm\no8rrwON3XI6PByPoHcqezRrnePz5mB9rL50nvXb83DDO5Kg/aLdasGb5bACZ3+pEzwj4tIA4x2Mk\nkqk3AqC6jqq8DnCpNNKyE5IWIF13cshrStxGTHwRj7e/Y0DxffKF2+3IvhGAve99iGSSQywayfo/\nIZ2Wtr1gTjUcjoq8jzsfGH136hmVOblkAul5KWkhoxXmrLBh49WLFe9JadaB0TWjisyaUV9AmYkn\nekp9gYiiTXkgbNy7yUx7+Hs+24wUn5bWGubXe3L+jqrvDOW5C0c5PPDjPyi2mVvvRq3XNfbC6HPQ\nrNyRiJEHUumxIS2kMRJVh7uSvGDw2Yktzos1OGKPLTMEw8pW4Z/7v0vwbntPTqHCKq9D8qhJ9fj9\nx/zYvO1PaKhxS16S3EPevK1NVcis6UHpeOe5KptMNmZTu0lR1KmW0i1CjRFFwigVHNAOu+gZu2d3\nHsKZvrGZazie0i1UNTIQqvbwRKpufyAqZVmJ6xMHOwexeXub9EA12p+NZTCr1oWegagidOd1KbPm\nWnd3qIpR66vcmjqBua7UXDTfh3ODMQTDCVW9TX2VG/5gXPezoiGSG3gAugoYjfVudPUZe4bnVTul\n85btmiCRik3PDuPC+VU5nYnFcyshCIJ+QbMgoNsfkdYkxeQZfzCG1l0d+MoNS/Hdnx5QnIdz/jDu\n+N7birCbXujarLKJEfnUsTOb2j2V07nl0DAdQbmF6XJhyXwfeoeiurH+ixqrsWJRrel9yUNcSZ7H\nsI7SwqI5PlUoRW8/X/jMEoxEkgiGEkjyaSR5AT0DEYxEOCT5sRBanOOl8Es4ymHbm0fw1h9Pw261\nYFaNWwo13rd+Ba5qmY/j3QH0yx76jQ0efHByCG/98TQ+OhVAXyCiGL/LweLem5fjzfdOK9aR4hyv\n24iOZdRmyuWw4oHPrcRnrmjEp1bNxll/GIPDcdn2aQyFsl+PdqsFF19Qg0AorruuVemyoi+Yva7H\nyrJoXliD1l0ZpXcLw4BhcmuwF+d4fDwYMa3D53JY8a0vXY5d+7oV3pheujfLACc/DinCbfEEj/vW\nr5Cul0gsiSQvqMJueqHr5kU12N8xgHRaQKXbjvvWL89qSOTX1kenAtjf4cefO/yqEKAcs2G69qM9\nsNmzb5tMcphX7y3Z0JyckgrT7du3D//4j/+IRYsWQRAEXHjhhXjooYcKPQyKBh6nHXffcAnCMQ6t\nuzpUobdNNzQjETWn50Z6TKSnpCURZGY/QCb7bsuLbcSMXf3U0xK6BCApL8gJx5Vez5n+CKKJjCr1\nqd4QbIT0gsNuxZOvtGu2ZydfsTAZ0Vevy4b+QFwxc1/aWK1YYK+wWyVjwgM4N6D2Gi0MUGG3Kryf\neDINQRAUa1pyMuM3F7oLhBPY+vODqu69RpCeGYCsyR5ykiked3zvbdX5tFrU+wUynrZWuE1+vdzx\nvbch/zXEsJueN29W2UQOmR2q1bGZ9Ja+tn4VKt3j85bKmaKE6S699FL84Ac/KMahKSbQu1kr3Xb4\nTRojkon0b9JCqznh6b6w4gFqRuhyTDqIfOgrH77kAzEQSkjHslstusKtdqsFzQtr0Xa0X1r3kRvi\nq1rmKNKRnfbsFaqVLhvu/9xK/OtP/qTIxCMb0clJpYWcFMfJdH6jZAhPBQvGYkFyAjVYYstwIGPY\nZtd5DDUDvS5r1kzRfITdsmGmYzNpsJ59vR0P3NoCipKiGCOt2SSlvBmPpIpR/F1PL4zsQgvk1uFW\nTAk3065CZP6sSpw8N6zpCQiCgHZiP5FYEgtnz8gsum9vU6w5hU2I3wUjSbz6vyegTvxmND2UzDhM\nfZVxkfEq86epxzAMHv6HFmx5Ub/9h7w5pF7dkCgoHIokwDAMXA5r3rsAmOnY/OQr7YrP6IXBSYyE\nUuUtxUu5lXguFMUYnThxAl/5ylcwPDyMO++8E1dccUUxhkEpAYwMjlGBrJ5x03rN6KGlLgp2SWoN\nYoHkcJgzbDdRX+3C2b6QSp2agXLGL8Kl0tL3UmVsMQxaFtfhwxMDCvUBiwWKVhXHzgRVbRzsNgvu\nuH4JnvzFh7pjnQqIHoxe8oTLwUrXidEERwy7icWz52SqGvmaGJnx+MnvUV/tghn0sum0WopP1Qw6\nOQU3RvPnz8ddd92Fq6++Gt3d3bj11lvx29/+Flar9lCqqlywWvULLyeDurrxtfqdDuT73Gx/qU1h\ncBwOqxTCCEaUC/fBCIe6Oi+GIxyee70dfUNR1Fe7sOmGZsMYfB2Ah2+/XPX6cIRDmDAGc+q9sLsc\n+M+3jiIY4TCn3osHP78EP/3NERzo6EckpsxSq51RgU03NOOpV/bjT4f7pNervHZUeStwsmesG6qq\nk2nXgEp8dobbjodvvxwjEQ7Pjn7HwEgcA8PKjLqERu1RMMzhx/91RFcYlrUwcDqsECDg4gW14FIp\n7D9WuPbvZrBbLfi3r/wl6uo8+Nr6VfjSt3+LSFx5zlcurkd1jdf0NaB3HeWC3nWqd23J+dr6VXj2\n9Xb0+MMYiXA45w+bOuacuXPh1ciQi4RH0Ng4GzNmTO3sOZKCG6P6+npcffXVAIC5c+eitrYWfX19\nmD17tub2AZ02AJNFXZ0Xfn9uhXrThck4N2eJosizfSHpGD7i4eJ2sNjy739QyP8c7w4ikUipZrpm\nUmyf3XlI8ZCv8jqw7pML8IOX/yw9eOT7D39ygUrbzuO0odJtxy1/swhpXlAcr3VXh8IYWYkQWiyh\nXGeysQy+fO1F2PLvf5D2c/ffL8OTr7SrjJFecgBpLOU4bCye+scrx85RjMP+Y79XbbfsfB86zo7o\nroNNBBvLIMWTJhhwOlhcONeHjdcsgZ0R0HV6EK27OxAnvE0byxj+RlqQ15HPbc/5Oja6Ts2w8erF\neHbnIZzsGVH9lnpEYxxgUW8bjSQwMBACx5WYAq4JjCYBBTdGb7zxBvx+PzZu3Ai/34/BwUHU19cX\nehiUEsFoPYcMgaT4tGF7aDlmNPDIz81w2w0li7S07aq8Djz+UhvO9oVQ53Pins82K9a15EKz2RQR\nbFYWb753WuqCK47bqNZHzwty2i1IJNOKgtj5DR6Vdhu5xmRjGdxz88qs7eNF7FYLrKxFt66JhGEY\nWCxqY8qAgU0WAdFrBc6OPn9zkZUykhWSYzSByUeDPdqXzZiCG6O//uu/xr333ov/+Z//QSqVwqOP\nPqoboqOUP0brOeSawJYX2zT3ofVgMPOw0nvA6L0ejnJIpvjRVhSZtuuCIOD37T0AtNe1vE5zPXuA\nTKHqhyeU7dj9wRi+9HcXofPcsGZR7Hk1LjTUuLH/mF+xhpTiBYUhYgCc7h2W9PLEAt37P7cCj//0\ngFRDtHB2pdSKIc6l8NGpANKCAK/LhmQyrVoXa16YqTvTM1yksdTztqKJsaLoTdctQ9+Q9qJ8PClg\n8/Y2nF/vxSnoGwe5YZFn5Ylq87mK+G5Y24Rkih/NWGR0uyUbkWsB8XSj4FbA7XbjueeeK/RhKSXK\nRBrxGbXDMDOT1TOEupl6uzskrwXItF3PZvRCGjI+RpDO03CYw6t7TugaNLE9xuZtf1I0ByS9MAFQ\nCbdGYklcMMuHFYvqpIfwkTPDkjzTP61TtrO/6/vvKP5mGUZx7g93Dak8JLvVghSfqYEyE/U73DWI\nLS+24eNB/fB8IJTA/HoPlp3vw5HTQaSRCdX1BiKSsKmeZwXoeyhGvyXZjkWvW7IR4rki17D00Mum\ni8eiEIQG08edKlCXhDJlyKVWyUyraD1DqPc6+bA63DWEprnKRWS50QtHOcQS6gePjWUyYrQm0q0D\n4QQSZ5TeiMvBYmaVS1IxJ9e+zJJMpXHH995Gildaib6Atldy4VyfIt39koU10vkXMxC3v3kEx84E\nJQ9K/G/L4pmmwn7RBG/Kezh8KgAIgmS8gxEO//LjP2FuvRv1VW70DuqnO2tJBAHZJzC5Ks6ryDG9\nXi+bLp3ObYIzVaDGiDJlyMWLmoxW0eTDKppIgWEY/GXzedKakdzote7uQDypfgLNrssIueo9dBmG\nrAtS7sNhH7ttX91zAgeO55YRZ7NakEqlIUA7bCb2GyKNfbZ+QB6nHV+9sVlzval3MKJan9Jrj6EF\nuW1SY9wCgDN9EZzpi6DKq5SdETUIPx6ISun2YqhSVF3ItraUzVhlS5ox8ta00NOmi0ZCYPR0kqYw\n1BhRpj1mxS03rG1SNfILhBLYcsdqzcwqvZmz+BDTM0beChYjsbFjyAspxfWPQCihKT9jBk+FDeF4\nUvOBDoz1Gzp43I9Hv3jpWE8fwnKEY0lFkbHYa+qgRrFwOJ7C/Z9bIQmZMgDcTivCBtl/ohKDXudd\nI7yuzHmRJ49kPKYYtCSCgEzDPqO1pWzedrakGZrAYAw1RpSCkU9F43xitvusVjadUVaVmTUufzCj\n1i0XB53XUAmnw6Y6T+EohweJNhZ6vgXLMKj0aHfpNSrglZPkBclzCEc5qd8PkDlP8rbfp3pD2N/h\n100597qsuGCWDz++768AAPc8/fus7SlYWeZyna9C0xjpeVc1lU5YmITi+/uDMZVEkCAIUtsLMjxJ\nGo9s3jaZdEHujyYwGEONEaVg5LPleK4YGcJc1gLMrEUZbSs3vuJ33/Jim+LBHI6lcM9nV6j217q7\nQ9Ve3Wq1wAUgluAVD+WGmgoETKh9M0wmpX1OrQsnPw6p9j8cTuDZnYc0kxNyEUatH/WuxN/BTJ+k\neFKQWlKsWFQLl0MpDutyWPHQP6zCjr1dKsWKDzoHVMkgPo8dX7r2Imx9OdPNVRAEJPmxY1R5lKG9\n/oB2uFIPMlmF/DvXBIbpBjVGlIIx4QXgCWBkCHOpISFnx+Eop6gzkj+4zK5bmT0+eb5YC4MRnbYc\n0URaZVi0mF/vlRTMwzEOX/2Bsgg2LeinbefC+8f68cXH/9d0m3QyJTwQSqgSKC6c50MwwFi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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -177,7 +268,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -186,7 +277,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/peadarcoyle/anaconda/envs/pymc3_dev/lib/python3.5/site-packages/Theano-0.8.2-py3.5.egg/theano/tensor/signal/downsample.py:6: UserWarning: downsample module has been moved to the theano.tensor.signal.pool module.\n", + "/opt/conda/lib/python3.5/site-packages/theano/tensor/signal/downsample.py:6: UserWarning: downsample module has been moved to the theano.tensor.signal.pool module.\n", " \"downsample module has been moved to the theano.tensor.signal.pool module.\")\n" ] }, @@ -194,24 +285,24 @@ "name": "stdout", "output_type": "stream", "text": [ - "Iteration 0 [0%]: ELBO = -95.63\n", - "Iteration 1000 [10%]: Average ELBO = -57.76\n", - "Iteration 2000 [20%]: Average ELBO = -48.27\n", - "Iteration 3000 [30%]: Average ELBO = -45.9\n", - "Iteration 4000 [40%]: Average ELBO = -43.39\n", - "Iteration 5000 [50%]: Average ELBO = -38.73\n", - "Iteration 6000 [60%]: Average ELBO = -36.57\n", - "Iteration 7000 [70%]: Average ELBO = -36.44\n", - "Iteration 8000 [80%]: Average ELBO = -36.57\n", - "Iteration 9000 [90%]: Average ELBO = -36.53\n", - "Finished [100%]: ELBO = -36.08\n" + "Iteration 0 [0%]: ELBO = -126.66\n", + "Iteration 1000 [10%]: Average ELBO = -56.42\n", + "Iteration 2000 [20%]: Average ELBO = -48.03\n", + "Iteration 3000 [30%]: Average ELBO = -45.58\n", + "Iteration 4000 [40%]: Average ELBO = -42.77\n", + "Iteration 5000 [50%]: Average ELBO = -37.81\n", + "Iteration 6000 [60%]: Average ELBO = -36.51\n", + "Iteration 7000 [70%]: Average ELBO = -36.57\n", + "Iteration 8000 [80%]: Average ELBO = -36.48\n", + "Iteration 9000 [90%]: Average ELBO = -36.54\n", + "Finished [100%]: ELBO = -36.13\n" ] }, { "data": { - "image/png": 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3daHIdDriA3/KWHNEKR8xiQajkUV63Lp0QujfiS6fiaWe8+mxs3j1nyfQeLYH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\nBEEogv8HGW5wFt/TGDkAAAAASUVORK5CYII=\n", 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TWNARZQKtjBho9q8NXRt16LqoQ9dFHVoZqUMrI4IgCKLokBgRBEEQRYfEiCAIgig6JEYE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\nezTlOxMCG1hz4+03XJoUsoEwlJIYqYVUixH3o1afjkRjEr8Ze6xSWXA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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -249,7 +340,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -298,7 +389,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -409,7 +500,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "metadata": { "collapsed": true }, @@ -535,7 +626,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -548,7 +639,7 @@ "[array(0.0650162324309349, dtype=float32), array(0.06501622498035431, dtype=float32)]\n", "[array(0.0008600028231739998, dtype=float32), array(0.0008599635912105441, dtype=float32)]\n", "[array(-0.018910568207502365, dtype=float32), array(-0.018910527229309082, dtype=float32)]\n", - "[array(0.9090602397918701, dtype=float32), array(0.9090602397918701, dtype=float32)]\n" + "[array(0.9090595245361328, dtype=float32), array(0.9090593457221985, dtype=float32)]\n" ] } ], @@ -589,7 +680,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -598,24 +689,24 @@ "name": "stdout", "output_type": "stream", "text": [ - "Iteration 0 [0%]: ELBO = -61.43\n", - "Iteration 1000 [10%]: Average ELBO = -45.48\n", - "Iteration 2000 [20%]: Average ELBO = -36.52\n", - "Iteration 3000 [30%]: Average ELBO = -36.58\n", - "Iteration 4000 [40%]: Average ELBO = -36.44\n", - "Iteration 5000 [50%]: Average ELBO = -36.55\n", - "Iteration 6000 [60%]: Average ELBO = -36.51\n", - "Iteration 7000 [70%]: Average ELBO = -36.45\n", - "Iteration 8000 [80%]: Average ELBO = -36.5\n", - "Iteration 9000 [90%]: Average ELBO = -36.56\n", - "Finished [100%]: ELBO = -36.56\n" + "Iteration 0 [0%]: ELBO = -55.9\n", + "Iteration 1000 [10%]: Average ELBO = -42.63\n", + "Iteration 2000 [20%]: Average ELBO = -36.54\n", + "Iteration 3000 [30%]: Average ELBO = -36.62\n", + "Iteration 4000 [40%]: Average ELBO = -36.53\n", + "Iteration 5000 [50%]: Average ELBO = -36.59\n", + "Iteration 6000 [60%]: Average ELBO = -36.5\n", + "Iteration 7000 [70%]: Average ELBO = -36.52\n", + "Iteration 8000 [80%]: Average ELBO = -36.53\n", + "Iteration 9000 [90%]: Average ELBO = -36.55\n", + "Finished [100%]: ELBO = -36.27\n" ] }, { "data": { - "image/png": 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+DnmsAYIQvigxpvC5HHH5TO6wptR+ldGgiwTERCV25laXwu0LDKlYajo4+i8u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\nHI3XFwTDMOCMxpi/nzWPw+vbjuHhF/foVoKtJvVMpB9ySIRqMpHKUEr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LVJGM6Kiut4od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\nEkEQBJEVkEMiCIIgsoL/D+dQJZBXHrBlAAAAAElFTkSuQmCC\n", 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8XlkL5XPbcOZSP4LhJH70bwO590vXbhQ7UzIwPI1tu/oRjqUwNRuXna+SlkQ4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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -649,7 +740,8 @@ "* Salimans, T., Kingma, D. P., & Welling, M. (2015). Markov chain Monte Carlo and variational inference: Bridging the gap. In International Conference on Machine Learning (pp. 1218-1226).\n", "* Albert, J. (2009). Bayesian computation with R. Springer Science & Business Media.\n", "* Kingma, D. P., Salimans, T., & Welling, M. (2016). Improving variational inference with inverse autoregressive flow. arXiv preprint arXiv:1606.04934.\n", - "* Germain, M., Gregor, K., Murray, I., & Larochelle, H. (2015, February). Made: masked autoencoder for distribution estimation. In International Conference on Machine Learning (pp. 881-889)." + "* Germain, M., Gregor, K., Murray, I., & Larochelle, H. (2015, February). Made: masked autoencoder for distribution estimation. In International Conference on Machine Learning (pp. 881-889).\n", + "* Kingma, D. P., & Welling, M. (2013). Auto-encoding variational bayes. arXiv preprint arXiv:1312.6114." ] }, { @@ -665,9 +757,9 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [conda env:pymc3_dev]", + "display_name": "Python [default]", "language": "python", - "name": "conda-env-pymc3_dev-py" + "name": "python3" }, "language_info": { "codemirror_mode": { diff --git a/stochastic_volatility_normalizing_flow.ipynb b/stochastic_volatility_normalizing_flow.ipynb deleted file mode 100755 index 8265762..0000000 --- a/stochastic_volatility_normalizing_flow.ipynb +++ /dev/null @@ -1,779 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "application/javascript": [ - "IPython.notebook.set_autosave_interval(0)" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Autosave disabled\n" - ] - } - ], - "source": [ - "%autosave 0\n", - "%matplotlib inline\n", - "import sys, os\n", - "sys.path.insert(0, os.path.expanduser('/Users/peadarcoyle/Code/Advanced_PyMC3_Talk/'))\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import pandas as pd\n", - "import pymc3 as pm\n", - "from pymc3.distributions.discrete import BetaBinomial\n", - "import seaborn as sns\n", - "from theano import config, shared, function\n", - "from theano.gradient import jacobian\n", - "import theano.tensor as tt\n", - "\n", - "config.floatX = 'float32'" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from abc import ABCMeta, abstractmethod\n", - "\n", - "class NormalizingFlow:\n", - " __metaclass__ = ABCMeta\n", - " \n", - " @abstractmethod\n", - " def init_model_params(self, d):\n", - " \"\"\"Initialize model parameters\n", - " \n", - " This method is called in ADVI inference functions, because \n", - " the dimension of parameter vector is difficult to know before \n", - " inference. \n", - " \n", - " d : int\n", - " Dimension of parameter vector.\n", - " \"\"\"\n", - " pass\n", - " \n", - " @abstractmethod\n", - " def trans(self, z_pre):\n", - " \"\"\"Transform variable (vector). \"\"\"\n", - " pass\n", - " \n", - " @abstractmethod\n", - " def ldj(self, z_pre):\n", - " \"\"\"Returns logdet of Jacobian. \"\"\"\n", - " pass\n", - " \n", - " @abstractmethod\n", - " def get_params(self):\n", - " \"\"\"Returns parameters. \"\"\"\n", - " pass" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Normalizing flows\n", - "In a previous notebook I mentioned normalizing flows. \n", - "This is a method used to get over one of the objections to Variational Inference. \n", - "\n", - "* This work is beta - and is a reviewed and extended version of the work of Taku Yoshioka one of the core-contributors to PyMC3 who's done a lot of the ADVI stuff. " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "class SimpleMadeIAF(NormalizingFlow):\n", - " \"\"\"An inverse autoregressive flow: (z - f1(z, h1, g1)) / f2(z, h2, g2)\n", - " \n", - " f[1/2] are MADEs, whose connectivity constraints are deterministically set. \n", - " h[1/2] are the activation functions of the hidden layers in f[1/2]. \n", - " g[1/2] are the activation functions of the output layers in f[1/2]. \n", - " The number of units in all layers are same with the dimension of the \n", - " random variable in ADVI. \n", - " \n", - " Parameters\n", - " ----------\n", - " ns : list of int\n", - " The numbers of units in all layers, shared for f1 and f2.\n", - " hs : (tensor -> tensor, tensor -> tensor)\n", - " Elementwise activation function of the hidden layers in f[1/2].\n", - " gs : (tensor -> tensor, tensor -> tensor)\n", - " Elementwise activation function of the output layer in f[1/2].\n", - " rev_order : bool\n", - " If true, the order of connectivity constraints is reversed.\n", - " random_seed : int or None\n", - " Random seed for initialization of weight matrices.\n", - "\n", - " Example\n", - " -------\n", - " ls = (1, 1)\n", - " hs = (tt.nnet.sigmoid, tt.nnet.sigmoid)\n", - " gs = ((lambda x: x), tt.nnet.softplus)\n", - " SimpleMadeIAF(ls, hs, gs, 'upper')\n", - " \"\"\"\n", - " def __init__(self, ns, hs, gs, rev_order=False, random_seed=None):\n", - " self.ns = ns\n", - " self.hs = hs\n", - " self.gs = gs\n", - " self.model_params = None\n", - " self.rev_order = rev_order\n", - " self.rng = np.random.RandomState(random_seed)\n", - " \n", - " def init_model_params(self, d):\n", - " self.d = d\n", - " w1s, b1s = _init_made_params([d] + self.ns + [d], self.rng) # f1\n", - " w2s, b2s = _init_made_params([d] + self.ns + [d], self.rng) # f2\n", - " self.wss = (w1s, w2s)\n", - " self.bss = (b1s, b2s)\n", - " self.model_params = w1s + w2s + b1s + b2s\n", - "\n", - " # Masks\n", - " self.mask1s = _create_made_masks(self.d, self.ns, self.rev_order)\n", - " self.mask2s = _create_made_masks(self.d, self.ns, self.rev_order)\n", - " \n", - " def trans(self, zs):\n", - " \"\"\"Transform random variables and compute log determinant of Jacobian.\n", - " \n", - " Parameters\n", - " ----------\n", - " zs : tensor, shape=(n_mc_samples, dim_rv)\n", - " Random variables. n_mc_samples denotes the number of Monte Carlo samples\n", - " in ADVI. dim_rv is the dimension of (concatenated) random variables. \n", - " \n", - " Returns\n", - " -------\n", - " (zs_new, ldjs) : (tensor, tensor)\n", - " Transformed random variables and log determinant of Jacobians.\n", - " zs_new.shape is the same with zs. ldjs.shape = (n_mc_samples,). \n", - " \"\"\"\n", - " # Outputs of MADEs\n", - " n_layers = len(self.ns)\n", - " h1, h2 = self.hs\n", - " g1, g2 = self.gs\n", - " w1s, w2s = self.wss\n", - " b1s, b2s = self.bss\n", - " \n", - " def f(zs, n_layers, h, g, ws, bs, masks):\n", - " \"\"\"MADE\"\"\"\n", - " xs = zs\n", - " for l in range(n_layers):\n", - " xs = h(xs.dot(masks[l] * ws[l]) + bs[l])\n", - " return g(xs.dot(masks[n_layers] * ws[n_layers]) + bs[n_layers])\n", - " \n", - " f1s = f(zs, n_layers, h1, g1, w1s, b1s, self.mask1s)\n", - " f2s = f(zs, n_layers, h2, g2, w2s, b2s, self.mask2s)\n", - " \n", - " # Outputs\n", - " zs_new = (zs - f1s) / f2s\n", - " \n", - " # Log determinant of Jacobian\n", - " ldjs = -tt.sum(tt.log(f2s), axis=-1)\n", - " \n", - " return zs_new, ldjs\n", - " \n", - " def get_params(self):\n", - " if self.model_params is None:\n", - " raise RuntimeError(\"get_params() was invoked before trans().\")\n", - " else:\n", - " return self.model_params" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def _init_made_params(ns, rng):\n", - " \"\"\"Initialize model parameters of a MADE.\n", - " \n", - " Parameters\n", - " ----------\n", - " l : int\n", - " The numbers of units in all layers, \n", - " including the input and output layers.\n", - " rng : numpy.random.RandomState\n", - " Random number generator.\n", - " \n", - " Returns\n", - " -------\n", - " (ws, bs) : (List[shared], List[shared])\n", - " Model parameters (weights and biases).\n", - " \"\"\"\n", - " ws = list()\n", - " bs = list()\n", - " for l in range(len(ns) - 1):\n", - " d_in = ns[l]\n", - " d_out = ns[l + 1]\n", - " ws.append(shared(0.01 * rng.randn(d_in, d_out).astype('float32')))\n", - " bs.append(shared(0.01 * rng.randn(d_out).astype('float32')))\n", - "\n", - " return ws, bs\n", - "\n", - "\n", - "def _create_made_mask(d_pre, d, m_pre, output_layer, rev_order=False):\n", - " \"\"\"Create a mask for MADE.\n", - " \n", - " Parameters\n", - " ----------\n", - " d_pre : int\n", - " The number of rows in the weight matrix. \n", - " d : int\n", - " The number of columns in the weight matrix. \n", - " m_pre : numpy.ndarray, shape=(d_pre,)\n", - " The number of inputs to the units in the previous layer.\n", - " output_layer : bool\n", - " True for the output layer. \n", - " rev_order : bool\n", - " If true, the order of connectivity constraints is reversed. \n", - " It is used only for the output layer. \n", - " \n", - " Returns\n", - " -------\n", - " m, mask : (numpy.ndarray, numpy.ndarray)\n", - " Mask indices and Mask.\n", - " \"\"\"\n", - " d_input = np.max(m_pre)\n", - " mask = np.zeros((d_pre, d)).astype('float32')\n", - " \n", - " if not output_layer:\n", - " m = np.arange(1, d_input).astype(int)\n", - " if len(m) < d:\n", - " m = np.hstack((m, (d_input - 1) * np.ones(d - len(m))))\n", - " \n", - " for ix_col in range(d):\n", - " ixs_row = np.where(m_pre <= m[ix_col])[0]\n", - " (mask[:, ix_col])[ixs_row] = 1\n", - "\n", - " else:\n", - " m = np.arange(1, d + 1)\n", - " if rev_order:\n", - " m = m[::-1]\n", - " for ix_col in range(d):\n", - " ixs_row = np.where(m_pre < m[ix_col])[0]\n", - " mask[ixs_row, ix_col] = 1\n", - " \n", - " return m, mask\n", - "\n", - "\n", - "def _create_made_masks(d, ns, rev_order=False):\n", - " \"\"\"Create masks for all layers.\n", - " \n", - " Parameters\n", - " ----------\n", - " d : int\n", - " Input dimension.\n", - " ns : list of int\n", - " The numbers of units in all hidden layers. \n", - " rev_order : bool\n", - " If true, the order of connectivity constraints is reversed.\n", - " \n", - " Returns\n", - " -------\n", - " masks : List[numpy.ndarray]\n", - " List of masks.\n", - " \"\"\"\n", - " # The number of layers\n", - " n_layers = len(ns)\n", - " \n", - " # Mask indices for the input layer\n", - " m = np.arange(1, d + 1).astype(int)\n", - " if rev_order:\n", - " m = m[::-1]\n", - " masks = list()\n", - " \n", - " d_pre = d\n", - " for l, n in zip(range(n_layers), ns):\n", - " m, mask = _create_made_mask(d_pre, n, m, output_layer=False)\n", - " masks.append(mask)\n", - " d_pre = n\n", - " _, mask = _create_made_mask(d_pre, d, m, output_layer=True, \n", - " rev_order=rev_order)\n", - "\n", - " masks.append(mask)\n", - " \n", - " return masks" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Stochastic Volatility model" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], - "source": [ - "import numpy as np\n", - "import pymc3 as pm\n", - "from pymc3.distributions.timeseries import GaussianRandomWalk\n", - "\n", - "from scipy.sparse import csc_matrix\n", - "from scipy import optimize\n", - "\n", - "%pylab inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Asset prices have time-varying volatility (variance of day over day `returns`). In some periods, returns are highly variable, while in others very stable. Stochastic volatility models model this with a latent volatility variable, modeled as a stochastic process. The following model is similar to the one described in the No-U-Turn Sampler paper, Hoffman (2011) p21.\n", - "\n", - "$$ \\sigma \\sim Exponential(50) $$\n", - "\n", - "$$ \\nu \\sim Exponential(.1) $$\n", - "\n", - "$$ s_i \\sim Normal(s_{i-1}, \\sigma^{-2}) $$\n", - "\n", - "$$ log(\\frac{y_i}{y_{i-1}}) \\sim t(\\nu, 0, exp(-2 s_i)) $$\n", - "\n", - "Here, $y$ is the daily return series and $s$ is the latent log volatility process." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Build Model" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "First we load some daily returns of the S&P 500." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-0.00637 , -0.004045, -0.02547 , 0.005102, -0.047733])" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "n = 400\n", - "returns = np.genfromtxt(\"./SP500.csv\")[-n:]\n", - "returns[:5]" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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2zngaNfEI2ppq8golyMfUlb0eGCl+Hlm5QdP1HQlPP5lOIxYxEY2YnvCOiiz6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\nix9y+G16c3Gir2vMOzXpxjFpWtKJ8PQ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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(returns)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Specifying the model in pymc3 mirrors its statistical specification. " - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Applied log-transform to sigma and added transformed sigma_log_ to model.\n", - "Applied log-transform to nu and added transformed nu_log_ to model.\n" - ] - } - ], - "source": [ - "model = pm.Model()\n", - "with model:\n", - " sigma = pm.Exponential('sigma', 1./.02, testval=.1)\n", - "\n", - " nu = pm.Exponential('nu', 1./10)\n", - " s = GaussianRandomWalk('s', sigma**-2, shape=n)\n", - "\n", - " r = pm.StudentT('r', nu, lam=tt.exp(-2*s), observed=returns)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Fit Model" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For this model, the full maximum a posteriori (MAP) point is degenerate and has infinite density. However, if we fix `log_sigma` and `nu` it is no longer degenerate, so we find the MAP with respect to the volatility process, 's', keeping `log_sigma` and `nu` constant at their default values. \n", - "\n", - "We use L-BFGS because it is more efficient for high dimensional functions (`s` has n elements)." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 0 [0%]: ELBO = -524080.74\n", - "Iteration 10000 [10%]: Average ELBO = 813.17\n", - "Iteration 20000 [20%]: Average ELBO = 1136.14\n", - "Iteration 30000 [30%]: Average ELBO = 1162.57\n", - "Iteration 40000 [40%]: Average ELBO = 1182.15\n", - "Iteration 50000 [50%]: Average ELBO = 1194.56\n", - "Iteration 60000 [60%]: Average ELBO = 1202.17\n", - "Iteration 70000 [70%]: Average ELBO = 1206.88\n", - "Iteration 80000 [80%]: Average ELBO = 1209.8\n", - "Iteration 90000 [90%]: Average ELBO = 1212.27\n", - "Finished [100%]: ELBO = 1211.28\n" - ] - } - ], - "source": [ - "import lasagne\n", - "from collections import OrderedDict\n", - "\n", - "adam = lambda loss, param: lasagne.updates.adam(loss, [param], learning_rate=0.001)\n", - "\n", - "n_unitss = [500]\n", - "hs = (tt.nnet.sigmoid, tt.nnet.sigmoid)\n", - "gs = (tt.nnet.softplus, tt.exp)\n", - "iaf1 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=False, random_seed=0)\n", - "iaf2 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=True, random_seed=1)\n", - "nfs = [iaf1, iaf2]\n", - "\n", - "with model:\n", - " mu, sds, elbo = pm.variational.advi_minibatch(\n", - " n=100000, optimizer=adam, minibatch_tensors=[], minibatches=[], \n", - " observed_RVs=OrderedDict({r: 1}), local_RVs=OrderedDict(), \n", - " global_NFs=nfs)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(elbo[10000:])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We do a short initial run to get near the right area, then start again using a new Hessian at the new starting point to get faster sampling due to better scaling. We do a short run since this is an interactive example." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 2000/2000 [02:50<00:00, 13.06it/s]\n" - ] - } - ], - "source": [ - "with model:\n", - " # Start next run at the last sampled position.\n", - " step = pm.NUTS(scaling=model.dict_to_array(sds)**2, is_cov=True)\n", - " trace = pm.sample(2000, step, start=mu)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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r68vmvpNYUoZh8N43KnqGJ/nN4T7WNJRx05XrCx2WEGJ2fwDs1lqPAyil/gF4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\n1meBnKYLpdRblVIfSfw5DcQS/8pGWV1XchzaMAxiVexDWOp2qaSbXjV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534k2nGYRjCml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rW1qZbV3c30DWdbaa1Oly/jpmFhmDQrduuWtXDa9B6K5HBRtKO02RbLRz4Fy9y+bwZEwSoBE/4Q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\n03hcLvq7w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O3Xy6o2DyxiQTw+7S2nBbFiXCLIQQD5E04JUK5mkFxG6LBHMFZRO/yi70JMJ1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\nAifdSKo3V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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "figsize(12,6)\n", - "title(str(s))\n", - "plot(trace[s][::10].T,'b', alpha=.03);\n", - "xlabel('time')\n", - "ylabel('log volatility')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Looking at the returns over time and overlaying the estimated standard deviation we can see how the model tracks the volatility over time." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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Zae7FgwfSh35N+tQzZThbLtchbTGXxpPyFnLLpT7w4af08lc8ps87eVQf/Nhn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\n/P+mjBxfju4y1QAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot(returns)\n", - "plot(np.exp(trace[s][::10].T), 'r', alpha=.03);\n", - "sd = np.exp(trace[s].T)\n", - "plot(-np.exp(trace[s][::10].T), 'r', alpha=.03);\n", - "xlabel('time')\n", - "ylabel('returns')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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eyX1yLkDmcHh0vkXAh8DsDsYY78lth7MduXe4LMdhQuhOc4sv2nHwque+CcM3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\nmirUVWX5QOYq7v4DOZRpwYf6tCmOskAGDHZ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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot(returns)\n", - "plot(np.exp(trace[s][::10].T), 'r', alpha=.03);\n", - "sd = np.exp(trace[s].T)\n", - "plot(-np.exp(trace[s][::10].T), 'r', alpha=.03);\n", - "xlabel('time')\n", - "ylabel('returns')\n", - "plt.ylim(0.00, 0.07);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## References\n", - "\n", - "1. Hoffman & Gelman. (2011). [The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo](http://arxiv.org/abs/1111.4246). " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:pymc3_dev]", - "language": "python", - "name": "conda-env-pymc3_dev-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.2" - }, - "nav_menu": {}, - "toc": { - "navigate_menu": true, - "number_sections": true, - "sideBar": true, - "threshold": 6, - "toc_cell": false, - "toc_section_display": "block", - "toc_window_display": false - } - }, - "nbformat": 4, - "nbformat_minor": 1 -} diff --git a/stochastic_volatility_normalizing_flow_2.ipynb b/stochastic_volatility_normalizing_flow_2.ipynb new file mode 100755 index 0000000..437ff8b --- /dev/null +++ b/stochastic_volatility_normalizing_flow_2.ipynb @@ -0,0 +1,780 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "application/javascript": [ + "IPython.notebook.set_autosave_interval(0)" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Autosave disabled\n" + ] + } + ], + "source": [ + "%autosave 0\n", + "%matplotlib inline\n", + "import sys, os\n", + "sys.path.insert(0, os.path.expanduser('/Users/peadarcoyle/Code/Advanced_PyMC3_Talk/'))\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pymc3 as pm\n", + "from pymc3.distributions.discrete import BetaBinomial\n", + "import seaborn as sns\n", + "from theano import config, shared, function\n", + "from theano.gradient import jacobian\n", + "import theano.tensor as tt\n", + "\n", + "config.floatX = 'float32'" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from abc import ABCMeta, abstractmethod\n", + "\n", + "class NormalizingFlow:\n", + " __metaclass__ = ABCMeta\n", + " \n", + " @abstractmethod\n", + " def init_model_params(self, d):\n", + " \"\"\"Initialize model parameters\n", + " \n", + " This method is called in ADVI inference functions, because \n", + " the dimension of parameter vector is difficult to know before \n", + " inference. \n", + " \n", + " d : int\n", + " Dimension of parameter vector.\n", + " \"\"\"\n", + " pass\n", + " \n", + " @abstractmethod\n", + " def trans(self, z_pre):\n", + " \"\"\"Transform variable (vector). \"\"\"\n", + " pass\n", + " \n", + " @abstractmethod\n", + " def ldj(self, z_pre):\n", + " \"\"\"Returns logdet of Jacobian. \"\"\"\n", + " pass\n", + " \n", + " @abstractmethod\n", + " def get_params(self):\n", + " \"\"\"Returns parameters. \"\"\"\n", + " pass" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Normalizing flows\n", + "In a previous notebook I mentioned normalizing flows. \n", + "This is a method used to get over one of the objections to Variational Inference. \n", + "\n", + "* This work is beta - and is a reviewed and extended version of the work of Taku Yoshioka one of the core-contributors to PyMC3 who's done a lot of the ADVI stuff. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "class SimpleMadeIAF(NormalizingFlow):\n", + " \"\"\"An inverse autoregressive flow: (z - f1(z, h1, g1)) / f2(z, h2, g2)\n", + " \n", + " f[1/2] are MADEs, whose connectivity constraints are deterministically set. \n", + " h[1/2] are the activation functions of the hidden layers in f[1/2]. \n", + " g[1/2] are the activation functions of the output layers in f[1/2]. \n", + " The number of units in all layers are same with the dimension of the \n", + " random variable in ADVI. \n", + " \n", + " Parameters\n", + " ----------\n", + " ns : list of int\n", + " The numbers of units in all layers, shared for f1 and f2.\n", + " hs : (tensor -> tensor, tensor -> tensor)\n", + " Elementwise activation function of the hidden layers in f[1/2].\n", + " gs : (tensor -> tensor, tensor -> tensor)\n", + " Elementwise activation function of the output layer in f[1/2].\n", + " rev_order : bool\n", + " If true, the order of connectivity constraints is reversed.\n", + " random_seed : int or None\n", + " Random seed for initialization of weight matrices.\n", + "\n", + " Example\n", + " -------\n", + " ls = (1, 1)\n", + " hs = (tt.nnet.sigmoid, tt.nnet.sigmoid)\n", + " gs = ((lambda x: x), tt.nnet.softplus)\n", + " SimpleMadeIAF(ls, hs, gs, 'upper')\n", + " \"\"\"\n", + " def __init__(self, ns, hs, gs, rev_order=False, random_seed=None):\n", + " self.ns = ns\n", + " self.hs = hs\n", + " self.gs = gs\n", + " self.model_params = None\n", + " self.rev_order = rev_order\n", + " self.rng = np.random.RandomState(random_seed)\n", + " \n", + " def init_model_params(self, d):\n", + " self.d = d\n", + " w1s, b1s = _init_made_params([d] + self.ns + [d], self.rng) # f1\n", + " w2s, b2s = _init_made_params([d] + self.ns + [d], self.rng) # f2\n", + " self.wss = (w1s, w2s)\n", + " self.bss = (b1s, b2s)\n", + " self.model_params = w1s + w2s + b1s + b2s\n", + "\n", + " # Masks\n", + " self.mask1s = _create_made_masks(self.d, self.ns, self.rev_order)\n", + " self.mask2s = _create_made_masks(self.d, self.ns, self.rev_order)\n", + " \n", + " def trans(self, zs):\n", + " \"\"\"Transform random variables and compute log determinant of Jacobian.\n", + " \n", + " Parameters\n", + " ----------\n", + " zs : tensor, shape=(n_mc_samples, dim_rv)\n", + " Random variables. n_mc_samples denotes the number of Monte Carlo samples\n", + " in ADVI. dim_rv is the dimension of (concatenated) random variables. \n", + " \n", + " Returns\n", + " -------\n", + " (zs_new, ldjs) : (tensor, tensor)\n", + " Transformed random variables and log determinant of Jacobians.\n", + " zs_new.shape is the same with zs. ldjs.shape = (n_mc_samples,). \n", + " \"\"\"\n", + " # Outputs of MADEs\n", + " n_layers = len(self.ns)\n", + " h1, h2 = self.hs\n", + " g1, g2 = self.gs\n", + " w1s, w2s = self.wss\n", + " b1s, b2s = self.bss\n", + " \n", + " def f(zs, n_layers, h, g, ws, bs, masks):\n", + " \"\"\"MADE\"\"\"\n", + " xs = zs\n", + " for l in range(n_layers):\n", + " xs = h(xs.dot(masks[l] * ws[l]) + bs[l])\n", + " return g(xs.dot(masks[n_layers] * ws[n_layers]) + bs[n_layers])\n", + " \n", + " f1s = f(zs, n_layers, h1, g1, w1s, b1s, self.mask1s)\n", + " f2s = f(zs, n_layers, h2, g2, w2s, b2s, self.mask2s)\n", + " \n", + " # Outputs\n", + " zs_new = (zs - f1s) / f2s\n", + " \n", + " # Log determinant of Jacobian\n", + " ldjs = -tt.sum(tt.log(f2s), axis=-1)\n", + " \n", + " return zs_new, ldjs\n", + " \n", + " def get_params(self):\n", + " if self.model_params is None:\n", + " raise RuntimeError(\"get_params() was invoked before trans().\")\n", + " else:\n", + " return self.model_params" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def _init_made_params(ns, rng):\n", + " \"\"\"Initialize model parameters of a MADE.\n", + " \n", + " Parameters\n", + " ----------\n", + " l : int\n", + " The numbers of units in all layers, \n", + " including the input and output layers.\n", + " rng : numpy.random.RandomState\n", + " Random number generator.\n", + " \n", + " Returns\n", + " -------\n", + " (ws, bs) : (List[shared], List[shared])\n", + " Model parameters (weights and biases).\n", + " \"\"\"\n", + " ws = list()\n", + " bs = list()\n", + " for l in range(len(ns) - 1):\n", + " d_in = ns[l]\n", + " d_out = ns[l + 1]\n", + " ws.append(shared(0.01 * rng.randn(d_in, d_out).astype('float32')))\n", + " bs.append(shared(0.01 * rng.randn(d_out).astype('float32')))\n", + "\n", + " return ws, bs\n", + "\n", + "\n", + "def _create_made_mask(d_pre, d, m_pre, output_layer, rev_order=False):\n", + " \"\"\"Create a mask for MADE.\n", + " \n", + " Parameters\n", + " ----------\n", + " d_pre : int\n", + " The number of rows in the weight matrix. \n", + " d : int\n", + " The number of columns in the weight matrix. \n", + " m_pre : numpy.ndarray, shape=(d_pre,)\n", + " The number of inputs to the units in the previous layer.\n", + " output_layer : bool\n", + " True for the output layer. \n", + " rev_order : bool\n", + " If true, the order of connectivity constraints is reversed. \n", + " It is used only for the output layer. \n", + " \n", + " Returns\n", + " -------\n", + " m, mask : (numpy.ndarray, numpy.ndarray)\n", + " Mask indices and Mask.\n", + " \"\"\"\n", + " d_input = np.max(m_pre)\n", + " mask = np.zeros((d_pre, d)).astype('float32')\n", + " \n", + " if not output_layer:\n", + " m = np.arange(1, d_input).astype(int)\n", + " if len(m) < d:\n", + " m = np.hstack((m, (d_input - 1) * np.ones(d - len(m))))\n", + " \n", + " for ix_col in range(d):\n", + " ixs_row = np.where(m_pre <= m[ix_col])[0]\n", + " (mask[:, ix_col])[ixs_row] = 1\n", + "\n", + " else:\n", + " m = np.arange(1, d + 1)\n", + " if rev_order:\n", + " m = m[::-1]\n", + " for ix_col in range(d):\n", + " ixs_row = np.where(m_pre < m[ix_col])[0]\n", + " mask[ixs_row, ix_col] = 1\n", + " \n", + " return m, mask\n", + "\n", + "\n", + "def _create_made_masks(d, ns, rev_order=False):\n", + " \"\"\"Create masks for all layers.\n", + " \n", + " Parameters\n", + " ----------\n", + " d : int\n", + " Input dimension.\n", + " ns : list of int\n", + " The numbers of units in all hidden layers. \n", + " rev_order : bool\n", + " If true, the order of connectivity constraints is reversed.\n", + " \n", + " Returns\n", + " -------\n", + " masks : List[numpy.ndarray]\n", + " List of masks.\n", + " \"\"\"\n", + " # The number of layers\n", + " n_layers = len(ns)\n", + " \n", + " # Mask indices for the input layer\n", + " m = np.arange(1, d + 1).astype(int)\n", + " if rev_order:\n", + " m = m[::-1]\n", + " masks = list()\n", + " \n", + " d_pre = d\n", + " for l, n in zip(range(n_layers), ns):\n", + " m, mask = _create_made_mask(d_pre, n, m, output_layer=False)\n", + " masks.append(mask)\n", + " d_pre = n\n", + " _, mask = _create_made_mask(d_pre, d, m, output_layer=True, \n", + " rev_order=rev_order)\n", + "\n", + " masks.append(mask)\n", + " \n", + " return masks" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Stochastic Volatility model" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pymc3 as pm\n", + "from pymc3.distributions.timeseries import GaussianRandomWalk\n", + "\n", + "from scipy.sparse import csc_matrix\n", + "from scipy import optimize\n", + "\n", + "%pylab inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Asset prices have time-varying volatility (variance of day over day `returns`). In some periods, returns are highly variable, while in others very stable. Stochastic volatility models model this with a latent volatility variable, modeled as a stochastic process. The following model is similar to the one described in the No-U-Turn Sampler paper, Hoffman (2011) p21.\n", + "\n", + "$$ \\sigma \\sim Exponential(50) $$\n", + "\n", + "$$ \\nu \\sim Exponential(.1) $$\n", + "\n", + "$$ s_i \\sim Normal(s_{i-1}, \\sigma^{-2}) $$\n", + "\n", + "$$ log(\\frac{y_i}{y_{i-1}}) \\sim t(\\nu, 0, exp(-2 s_i)) $$\n", + "\n", + "Here, $y$ is the daily return series and $s$ is the latent log volatility process." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Build Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First we load some daily returns of the S&P 500." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.00637 , -0.004045, -0.02547 , 0.005102, -0.047733])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n = 400\n", + "returns = np.genfromtxt(\"./SP500.csv\")[-n:]\n", + "returns[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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2zngaNfEI2ppq8golyMfUlb0eGCl+Hlm5QdP1HQlPP5lOIxYxEY2YnvCOiiz6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\nix9y+G16c3Gir2vMOzXpxjFpWtKJ8PQ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(returns)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Specifying the model in pymc3 mirrors its statistical specification. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Applied log-transform to sigma and added transformed sigma_log_ to model.\n", + "Applied log-transform to nu and added transformed nu_log_ to model.\n" + ] + } + ], + "source": [ + "model = pm.Model()\n", + "with model:\n", + " sigma = pm.Exponential('sigma', 1./.02, testval=.1)\n", + "\n", + " nu = pm.Exponential('nu', 1./10)\n", + " s = GaussianRandomWalk('s', sigma**-2, shape=n)\n", + "\n", + " r = pm.StudentT('r', nu, lam=tt.exp(-2*s), observed=returns)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fit Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For this model, the full maximum a posteriori (MAP) point is degenerate and has infinite density. However, if we fix `log_sigma` and `nu` it is no longer degenerate, so we find the MAP with respect to the volatility process, 's', keeping `log_sigma` and `nu` constant at their default values. \n", + "\n", + "We use L-BFGS because it is more efficient for high dimensional functions (`s` has n elements)." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration 0 [0%]: ELBO = -53842.81\n", + "Iteration 1000 [10%]: Average ELBO = -998.38\n", + "Iteration 2000 [20%]: Average ELBO = 407.53\n", + "Iteration 3000 [30%]: Average ELBO = 833.27\n", + "Iteration 4000 [40%]: Average ELBO = 956.75\n", + "Iteration 5000 [50%]: Average ELBO = 1009.91\n", + "Iteration 6000 [60%]: Average ELBO = 1042.98\n", + "Iteration 7000 [70%]: Average ELBO = 1066.87\n", + "Iteration 8000 [80%]: Average ELBO = 1081.56\n", + "Iteration 9000 [90%]: Average ELBO = 1089.64\n", + "Finished [100%]: ELBO = 1094.54\n" + ] + } + ], + "source": [ + "import lasagne\n", + "from collections import OrderedDict\n", + "\n", + "adam = lambda loss, param: lasagne.updates.adam(loss, [param], learning_rate=0.001)\n", + "\n", + "n_unitss = [500]\n", + "hs = (tt.nnet.sigmoid, tt.nnet.sigmoid)\n", + "gs = ((lambda x: x), tt.nnet.softplus)\n", + "iaf1 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=False, random_seed=0)\n", + "iaf2 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=True, random_seed=1)\n", + "#nfs = [iaf1, iaf2]\n", + "\n", + "with model:\n", + " mu, sds, elbo = pm.variational.advi_minibatch(\n", + " n=10000, optimizer=adam, minibatch_tensors=[], minibatches=[], \n", + " observed_RVs=OrderedDict({r: 1}), local_RVs=OrderedDict(), \n", + " global_NFs=[iaf1])" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Cby81t3j04BNr+/QcM8Zmd1oxIZje9Dm3PdeQNM3M7sWRQsccnhruEgLy9uqd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\nRK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(np.log10(elbo[1000:]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We do a short initial run to get near the right area, then start again using a new Hessian at the new starting point to get faster sampling due to better scaling. We do a short run since this is an interactive example." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 2000/2000 [02:27<00:00, 12.18it/s]\n" + ] + } + ], + "source": [ + "with model:\n", + " # Start next run at the last sampled position.\n", + " step = pm.NUTS(scaling=model.dict_to_array(sds)**2, is_cov=True)\n", + " trace = pm.sample(2000, step, start=mu)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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evP+qnJ+hWs/amrzs2lLFq+dHuTQwxZZG6cwjRDHTWv+3QsewFuxtr+HVC6O4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v3cdOU6XnfZap460Muvnz3DUwd6eepALx3ttVy7o4PLzl+a1wNYoZhlglLKbwoh1gLDwP8BdpdX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\nxako9lXaX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NJqqREOLhIcFcwm1285uViJQYFUKIxSPBLIQoYylNQ57nf9XM/uoyrl2XSaJ1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Di85Gvo6PjcqIT5ebDwIpURmZaTEkfqLNAOtpAqtzBK3fGXWhClLQEJkTr1Xtqq2WwQlIcPRxfJ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\ngjXvs9Qr1DXaGiNb5U8tcHOfn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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12,6)\n", + "title(str(s))\n", + "plot(trace[s][::10].T,'b', alpha=.03);\n", + "xlabel('time')\n", + "ylabel('log volatility')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Looking at the returns over time and overlaying the estimated standard deviation we can see how the model tracks the volatility over time." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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KSIYIWPHsyfMhZTLbhD5fX6PrvrnCIiSmWGK/tffd1b51PUt9uWyMiAztvbSl6/rc1p7F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\novc6iyPOLIf5v+77bANmQeuCJIdTQ8lZY/kJguAnAPyILe8gCK4F8I8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HbhuVidwGkFL6\nIeBG4OaIuGlhrZakJeYMtSSthwdG//8n8EhK6SsAEfG/FGUiLweuj4gfGz3vSuAHKH7OV5LUwoRa\nktbD+dLfF2se3wLellK6DyAinkVRJiJJGsOSD0laLRc52WTJX1KUf+xExJXAZ4AXzbRlkrSinKGW\npNXyP8B/UdRJT+ODwPcBn6fYNtyTUnpotk2TpNW0cXh42HcbJEmSpKVlyYckSZLUgQm1JEmS1IEJ\ntSRJktSBCbUkSZLUgQm1JEmS1IEJtSRJktSBCbUkSZLUgQm1JEmS1MG3Adit2LOJUBpZAAAAAElF\nTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(returns)\n", + "plot(np.exp(trace[s][::10].T), 'r', alpha=.03);\n", + "sd = np.exp(trace[s].T)\n", + "plot(-np.exp(trace[s][::10].T), 'r', alpha=.03);\n", + "xlabel('time')\n", + "ylabel('returns')" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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mvGtiE5oG4z2hqkV4OicO+nr0I4pla88UyC/U7QaprhIjH7Ge9Mk2sxLpp4W2\n813y5NTx16t4rFcgWRf71orr3Z2vdV4+SQCJazi3GkMcT4zSnD7ehvCdU940lsxZUmex8fCXPc8F\n+8WJSXtV4axCW1EURVFuBS3vt0lmM3jnHTguRdTluYhF78XaDAaamtBaBu2SrKlJ5nN25jOsKSQS\nUpYwX4iA3t4WF7wqpUzg9ja2haStMSHDOytZ7sUSHj9haQ02SXBtC3VXkeTBQxHZiwU0LaauyWyD\nt2uZ61g5pK7FTY+lAqNY7fclPx0F+Gj0YrWRonjRSY3xkvXFlHFbJASSpiZ37cqBXtu2XsXjI5lq\n517sQtk0WG8wndJ2ds1xj19tCwSpJbjesh42Vq0jOEcwhspkBAxJ8AS7VpHlsuc5Zz/XZbRb61+c\nuFzkaL9kQaqiKIqiKNeHCu1NspjDwQGQiSttrLisdS2it98D5zFtg/UJngRjG3YXU56PnuDyAsoa\nbA2zpXSGfOspHDwHD2xt4WzCoG2og6dtnTSrSQw0Da6s8AHssgJbiZOeTGV720BV4q3HGIMNZpWB\nbjsXOs+757p4xaAv+fDZFB49FkG93pwluuB5vnLHjVkdZ13swotCr2mk3rRZZbVP9okiet3RjnGU\n5VLGkWWrBZ/OYedLidQkqURRYnfK9ShLkqxa2cea468bHYl4j3NS1q+xHpemZM6u6mhfxdFOzv6g\n6SRqc5mMdpwInXMsRVEURVGuHxXam6TtWp63BmwD3pxkozEpHB9D05K4hlE1pWdbQmno1SW9Xk3T\nH0JbSWm/IhMXejaQ1w23oG1JjpdkTYXJc5xz8OiJLJRczvHlnMSn+Od7MMyhV4gb3uuJ2E4SqcgR\nhWhVdc61Fyc9y8RND767llQWZNa1iO0HD2VxZdvKMded5bZdtV2PxBbwUfSdakjjgghT364Jx1ii\nsN9f5bLj83Ut9zJJ4MlTEdpJAnWNrWtS72mzQhrgRDc+iv4oqLNs9SlDHMsmhHYIWO8JRoR2MCJw\nQ2wHb+2FzXZOxgLnO9pdfW7rLnC0I/H6XrIgVVEURVGU60OF9iZ5sAu7u/DsCMoFJBkUHvLO4Z4t\noFqSzo4Z1nMMBmsG9Eyg8DUuZNCUkpkueiKMnn0gix2tg+Mp5mhGXpf4YDD7+7LPYATOExY1O02D\nc18n49l7LsL48WMRl/0+wVoyb/HzGdQ9ePxEMt6z2apM4M62jPfoqBPKVvLg0RluWxgOVwsBrZV9\nej0RtlUkl/waAAAgAElEQVS1is5EIV6Vq6iJtVCWhK6zpXNn1OFed2K975r3LOUTguiUx8lB2+Ln\nS1LbEnpDbJKdPM9iLudbd7HzfFVHO8836mh7k1B31UeCMeKuX7Kz5cuEdnS0YwfMM9GmNYqiKIpy\nZ1ChvUkGg26hXgPHM8DBJz7RLdhzcHQAeUZoHFt1xdxkJGlKmeTkTUM2P4K3hrB/AK4TgculOLkm\ngekx5vCIUTMnCY50kUtUZWeHYFtCXZF7h61byINEQlwrlUnyAoKhMSmZt4QkBUMnljM4PBAX2zmZ\nMBSpZL/zDPKetHSvytUCxOg2n4jIfOVgn+5W2OWoqWt5bi4lCE3TkARPtpjBfC4VW9YXKsb4iTEy\nAUgMFPlqYeNa+T7bSMWRzDaS0Y6CdnokUZjRSCYCUWDHDHj8el28F1FtDE2Xy/YmkZKNMbYSPwE4\nj5c4zr47vo11tF8izCkKue/nLEZVFEVRlOvglz77jCe7A77pUzu3PZRbRwOcm+TwUKqOzI7F4fWA\n9SIS956fOLohL8hcST84HFDlOYV35GUp4vb4UETvcilOcttKI5sgJeR2Fkc8XB6SlKWU/Ts4oJ7N\nyesS09SYvefwfA/SvBPJrQj94HDOkDiLt14WTFbVqjRfU4v4dl7axz/YhcEQskSu58Nnci0H+7D3\noQjvxXwlemPt6yRBFh5aEdBR4JVlV7owQFFgSTF4GUsUwOuNdOLPtpXzmwSGo+5c1QvVRFovbnJu\nG1y75pCnWVd2cXtVGSVm0517sZHLq1bn6ERsNJrrLgoTjDkRxyfHv4zYvSA6AojQvui1SSITniSR\nyUVRXPpSFOW+8+xgyRffm972MBTlY4t1nh/7yd/g7/6T37rtodwJ1NHeJFUlYnv/WARrlslzMVuc\n92A0os0a5vkWJgQS52jTHpmdEZzrFiIGcICPlTKsLJKcHmDmC9LGkVPjqhrmx/BhD79cMpzPIDP4\n6SH0H0Avh7Qv4t16WJak5TGJ94TlHNxQBGu57ARpF1dxXtzjNJMa3rHt+nQOW0O5ruVS4i2HR+Iy\nj7ZEzPd6IvamMwhOnu/1RLhXJVRdbewkxQapxHJSRzs2volVQmLUpGlXHSmzTAT3SfZZ3GkL+MSQ\nOUtSLlb1svNcSiXGKiNxUhGrqrTdZCNmyWOG+yp0Ar0NphtujI4kcm3R2YfVOc7iktGR9mUZ7XVh\nrVES5WPG//gPPsd7zxf8d3/s99/2UBTlY8mibPEhnPwt/LijQnuTdLWqqUoRnyfVMfqQdiXwfCA1\n0PSH9G2LyzISY2jSoouIFLIYsVzKwkjv5Th7H8CypH74lDYBEwLOBvja1+DoGHzCg/key8EWZj6F\nR6OuvnWGWOFSgaJYLHGpwZSluNO9ntToLgooW3lNU4LrSvjNZhI7KUt4/gzSt0WQW9dNCBpIE9kv\nLpAMQSqmZJkI7iSRY2BWCyOzQFqX9JslwQ5WkQrv5f5ZKw676x7nmRy/LOX+hBhbAWI3SAzBGEJ0\nq0OQSEsU0fN5F0VhVZLQGBHasZPkRUL4PLoJwWmhDdAkXXWUOJ6LXPNLLIaEl3SGPI8N1wxXlLvK\nsmpZVO1tD0NRPrbMSvn3d+Gnrx8jVGhvkkEnGK0T9zrPYFnC9paIaFdDv4dLE9qQkqWeEFICgWFb\nYVwGLkBmRAxaK2K2n0kMpV5i6pbcAE1NVs/gGLBgQ8Z2uSALFj8dicBtu1z10ZGI4TQnKRdYRvi6\nlRrcrYVy3uXIuwY3Hhm3d7J9a7trmjOFx08hHYrLPDuWaw5BxhucOMzLpYhaPPSGcODkGLOpOMw7\nO1DXFNWcrG0xZS0RlF6/Ow5ynLjwsq5XLm2eiwCvazm3lWonrqoxBFyS0qbFqrRfnKgsl7IviFMf\nSVNYzGRiE2uOR1G87kSfRzxHrOjCKjqC3AE5ToyNvIbQjqUC28tmtBXlY4h1oftgzpNqeUtFuXHm\ny05oa7M0QIX2ZslzaTKzuwUmh5BILeq8kFJ7+Rb0hySJVOsojaEZ9hnahhRD6PUkD91aeZ2zInYf\n7oqTiyFYT+ocqXf4qpF9bc0yMbRZSr8uSQ6fw+MePD/oFmN2Qvb5cx6+s2R7+xsJZQbzHrTvSc57\nOJJjGcQFrubQH0HeVepYLIBu8aFtxQXGMPnCh3y1Svn+b38szn0sFXh0LBONrN9NMpzk12Pjm7qh\nP5thQoG3VvLi0C20NFJJJdA15JmLy5znElepanHMD7t/xHmGsx7jPS7PMdUSplOZXBRdRrksRfC2\nrbjwg8GqxTtdFGV6DP3Bi9GSXu+jv+f1JjhrCz9jh8t1R/uFjHYsJRgXR5513As4cbTXSxNelnhe\nRblFfAgk1zwxjJ/4tNaTFiq0FeWmmauj/QIqtDdJfyCl9I67iELexRHmS3GWHzyAIselGSHNcGmK\nH/RpEkNb9Dh4/Bbf2LfgEtjdkcWMsSpILu5qkzqqNKXnLLuLYziUmtiJyzGupVfOSRcJzLdFoO5n\ncHwk1UmWc/qzKdt+RO+DEur3JdLyibfgwSNxsRdzqZgSvNSqHg2hnUq5QmNk+exsDkeHUDd8/v95\nl99YpHzvp34ng3oJn/yUbLcNZFviFpuuu2VdSUYbiXSYZkGvteAGnXCPjm/nABskI76sIC/l/lor\nQtxaoBEhnheEbtGlCQHXdJVWTAK7XRWULAOfrDpfdgsyT5oJxbhIrNLRNKsqJXERZaRtVw1xYvwk\nSU4a79i6xgS/ymifFtXnCW240J1elfc71QRHHW3lHvA3f/Y3+dXf2ue//uHfc61iOwpt/SOvKLdD\nFNoXNlf7GKFCe5PYzvm1DjBSscM7EYNF3jmhhiQYXJKyzFNCyFnkA0KasZWPIF9KVGRnW4Te8ZHk\nn2vJQqfTOSYkuDTF+NDVl15gBrv06obMB6lPXTayALPqWrSXFQRDWjW8Xb9DOvs6WM5FRO7uiJCu\nOtf6pItlVz+7qbrzG/l+fAjvvwdpTj49YMcO8ItK9vvaV8U9Hg1lghACz955xhd+/cv8nt/1dWSj\ngURUHjwgrRqGraOYF10d74Xcx+Gwc9C7P8bDvrjTVbcAM0nlUwLrZKxNQ/beu2wtjlkOd6DO5Fg+\nSNOdomvcU/S62IhdtZJfdJOirW05Z4a8NlurUBJbtsOq8U6Ml2xtnWyzPpB4h60tqXfYNCGu8zxx\nz+NXbDu/nge/oCskrBztxq/tf1U21aBHUa7Il96f8f7+krb19IqXNG96DaLAbi+qN68oyrWxymjr\nv0FQob1ZpnMRa/vPRSQ/eLCqfpF0iyPzDNfvMR1tkTpPaCpcMaJfT9k63qN98Ji03yPp9SU+MZ92\nFTw81Jb+8ZJ+leKzlMqGrvMhNFWLBUxRUPV74oC3VsRlXYp43NnF5imj6ZRkOoInfam6UXZRi+lC\noit5l3GmWtXADglsjbpyfR4ePIbFgnQ6ozCOunWMvJeJwdEhPH0i+eyq4h/+zL8kmc156pZ869c/\nkNceHtBfHJCmDzB11eXBmy6O0ZUXrEsR+o+eSAxl0TWsaVqJwySpXN/xMQ2G7UoqqiSLWF2klTKE\nINEY6BY9DlaCN2bRQURvPG78lxFLCK6XBjwnguGsJ/VyL0wngqMLvV7z+6SaSmxiA5dyp0+qjvg1\ngX1Z0aziWrllYqSqdZ4e1ye04ydLrf6RV5Rb4SSjrZ8qASq0N8vu7lqlkUJqX+fpqgJJmkCS0g5G\nVFlDL9T4LGc+2GbYLAi14+e/eEjx+AnfPWzEffVBFhm2Fqwj9dCvFpgsId8eifNdlXBU029qMh+g\nkcWGTA/F0T446hb3JTRZn2F7SDKdwtOBCNnjrrKIbWHRVQuxXffHsC1O8tZAohuLmbjlxoCzpMuS\nIjO0dQP1EhZTaRe/rGH2RcgLesspaVnintXwIJeOmRgS6/EpUke7XIowDp0gxUgnzed74i5vjcQp\nXy5E7BojbrJ1kGZUicRNBrbEN0PJyu89l4nPVimONXQl/bo4yNGRnBfknFkmrnwUwLF9e13Lz9HF\njttjxCRJun3lP5fGraIdbl1od8+dcNbPFwjiKCBckPrcSaLiWbk/NDZGOq5XAMc/7hd2UFUU5dqY\nl7Lmyum6IECF9mZ5vieC7eknpElKbwjUsJ1BCjQWRtv44QifzTC+Zb71hGe7ll5b8mTQMJsFgjUi\nbpdLKWM3GHauuKdxlgKHDQkLUskhJwnOWrZcjbeOEKyIyKNZt7iyEeGZFyR1Res8wdF1TWzg4Pkq\n2uK65jZNLlGS5UIWOeY5pE3XUOcI+gUcH1MsD9lOPfX+EQy7CUHa5aiffQC9Hg9Sh22XLI+7TPTs\nGLIC6yyDesFgUcM7X5Nzbe9Cnoho/fB9WUCZpfD2p+S558/F0d4awvvvSp3u3V2yoyN69ZKkWZBW\n3QRisZD4zHtdg5qdXZm05N1kqK67Baed0B8MICvkWmPDF2NkXP3+yomOz9suglIUkCT4TkCU3R/6\nJPgXHe2zWF8gCZdytEHKrCcv2f8FTi/IVJQb5sTRvmYBvL4YUlGUm2deSjSytepoww0L7fF4nAA/\nCnwHUAM/PJlMvrC2/QeAPwNY4NOTyeTHx+NxDnwa+B1AD/izk8nkJ29y3JcmirNRH8gk0/z40ao2\ndLkEY3ABUmvp1yW9akaPgrIYELzDmUC/sdCE1cK/J08lztDWtPUxPkuwJsc4JznrssJZKOoS642Y\no1W9amFOEHf6cJ/B4T6uXeB52Dm4VqptmACjbXnN9o446e+8K9f1zf+KCPCjQ9m/bSWn3bQkdcM2\nByRf/U14+gDaWq4zMbCowLU8bhYctSXNwonwbxzYkt3ZlJCWDKsUPhh00YouDjOfw/6HYAMcHMr4\nWwvPnongnvYkRrKYS8nEcsnudJ/W5AyOj6S++MGeOPTRDd99ICX8djK5zhBkolLXEvd58pact99/\nMdZR15Ih7/dFvKdpV2awWQloa0nqisI6yiQhBRLvSGIcJo8LW9NVm/rokMfMduzqeA5uTWjbYMjP\n3VNR7h434Wg7708+HNJ8qKLcDieOtvOEEDAfc3Pnph3tHwT6k8nku8fj8e8F/gLwRwA6Qf0Xge8C\nFsBnxuPxTwJ/CNifTCb/4Xg8fgT8v8DdFNr9ATx5AoeLrsazFcd0MJSM8XTaVb2w7NbH7MyPMOWI\nB3NHbhvmRU5q5+TlDMxjqVqSZWJdDgew8CRJTmMDJrf4NjspnWcdZN5BUlDmOYy6BYG2a9/uAnzw\nAQ9mH+KXDflyC+wQ+jkcL1Zl7vDyNZ9B1WWhv/xlePqWjL9ciMs+n0HTUCcZg6oi/3APCsBbGHWt\n2/s1tBWjpqSqluJoLZdyL2wgbRY8bZYw3BEhHGtkHx/A/j6UFctg+Nl//Fl+93c1vP2wL069s7JY\ns9eDkMPehxR7H7JdHeNMSv8olU8Xnu/JNaVJlzk/Fje7qeDh41U8JC3h+FgiKm3bdcVMRPSnqSwA\ndQdQ9kWIpyk8fCSfFCSy2DLUNUU5JyALXRPvSfB4uiY+UWjHCiixcU+71lgj7nMOPqwL7e6HV3G0\nFeUWuAlHez0Tqo72R7HO8+f++q/w+779bf7A7/5ttz0c5Q1l1mW0A/J3K1WhfaN8L/DTAJPJ5BfG\n4/F3rm37NuALk8nkEGA8Hv8c8H3A3wb+TrePQdzuu0mWiOvZt1LJoyol5uCcOMyhW1jnoFfXEBz5\nYs5u5SjJaUjJQ0vSBhj2oAyS006MlN9LU8L+nEEKS2NIfQX5I3COpC2xHoJvKKZzqahBJxR7PRHI\nZYkJDYVxFMu5jC3rYhTByz5ealyLchcXnXfekVbrbRe16A+grAn9Hm0IhGAIi6WUEMwK6G+JuB8U\nUo+7rUiblrpICAaM9VDX9BZzcJa6aGVR4/ZOV12klBy38xw+m1G9f8jxFzPefjqQbdC9E1px2EPA\n1BX9ssIVOUnbriq9pDn0BlJT/Bu+QSYfdSWLILd2ZB/bNcaZHYsAHwxlwtC24HO5/0dTCMeS9a4r\nudbEnHyK4Y6OGJZLmizHJQmp9ZBCHauNeP/R+EasPBIXW76kucZpR5ssXXXUVJQ7TnviaF/fZG+9\nnJg62h9ltmz58gczHm73VGjfE379i/uUv/mc7/qWJ7c9lEsTy/uB/HtPP+bl7G9aaO8gvQwjbjwe\nZ5PJxJ6xbQbsTiaTOcB4PN5GBPd/dZkTPXw4JMtuWIR8/Sfg2dd4OhxK1MFuSeTAWnAVfOM3QJ4z\n2P8SZTGgSQs+ubtLs5zSpD2OR0NC22LSlKdvdw7ycnmSASYLvPfBEXUxJYSM3Fc8GeSYnSd84egD\nXJIzsnOG032ePkkkx9zvd81ugN0tfjndJRs2jJKcpzgY5pD6LtLQOb91LfntPJYkdHD4YRcr2Zbs\ndp7RLGekdUXT65P4lqfBSuOX+SGMCkBqYX/eBRm+8WSLOY96BSymbJfHNEaa4zztp7DTlwnCV78K\n5RSqGUeLI4ZtRXF0yNNsJgsgQ4BhVxmlXoKtMNWcrC5ZpgWjNOXpsADjpAtlkkCbgi+77pcJzPbB\nV/DN3wy5h+UhGMtPf21O7ef8ke/8FCR9ee1sBk137qfbsEgkNtLvy2JXt6DKPM4Y2rygsC1FW+F8\nQZvkPN7pkQy7Bjkx020MzE4J753tC99evZ6ERRLv2B2kPP3E7kvF+Qnri0A/huL86dOL7+1GiBGg\n9XKQ95RN3y/r/MlEcbTVu7bfx9GsPvl5MLq+85zFTZ7rVbGm+//CmFsf722f/77w9/+Xf8Fvfu2I\nP/jf/MC9iGC01lM1q6ZtDx6O2BrcfNDxLr2/blpoT4H1q086kX3Wtm3gCGA8Hn898BPAj04mk79x\nmRMdHi5ff7RXpTY8/dSn2PvKe7DsmprMamk9PhzC9lPwDUsz4GjrCYWtOdh+yrP5kEfLQ9rGUeU7\nhMywN9iGykPdlddbLqFpWBYjjvsPadOc4WLGBzaQNQ22bHFFQZUNCHXD3nwJrYfBFswrwMPuDgFH\naRNaZ9g7msk+iUEiFo0swmwcNKXEOPpdLfC6Fmc87bpMJglLDL1gMa2lWbbs7XcdJpclOCOZ7+mc\ntFpA8PTKiqPPfwW33YM0p/XQdwvyNGHva89gXkrFkuMpvPceVEvKRUu/qbGLHnvBweEcNyiwxTa9\nrYHco89/keT5MRmeka9wdcXe+89lorI965rP9PGlJUk7F/hgXwTvYSmJmaqEecM//cUv0XjD97zd\nk6z5fCriqaxgq4V8JM53/NTAA+WC5dYOIU1os4LR7ICsqSn7GSZ4nn1wSJbNZP+m64DZ64mAj01v\nQpBPMC4QzvOFiIjUO/b2piRrCzFfSizTmGVdNr+Rc17CSb/vPH26zd7e7PpPFBfH3vPJzHXcr2W1\n+iDy+f6CvZ0zOq5ugINpdfLz/sHiZn7vwC99/jnvPZvyg7//mz6yzXnP3/hHv8nv+/a3+aZP7dzI\neM7j2d4cgPmyubF7cxY39m/yDWC2bHA+8MGzKdk9sIaP5vULj589m1KOihsdw228vy4S9jcttD8D\n/ADwt7qM9q+tbfss8C1dDnuOxEb+/Hg8/gTwD4H/dDKZ/OMbHu/VKApxfEfbXbfBQkRp0YPHT7qc\ntaN9sMPxrsUZw8NH21THCbWtSF2LLYYcb2/Bp36bRBv2n0v3xmYJx1OS51+m7A0xWY8ygbY/IMsM\nbZJy3B9ik10eJ0uJnBRdZ8pe13yGlMwgkQNvJUC1XErO+NFDWWxYNRIhge7xkcQ0hiO5PoxcV5pA\nY7Gk5GFBG7r4SVNJvKJtRbx6T2ZrnE8Y2gZ/0ELxGJ80ZNbhnMVWS1loWc5lsaJzXcfFhISUzFoS\n10gt8qbhy+/s896vfcD3fPvXkQYPyzlpVeOdZ9hU+HIh1+VaEf2zKW60zd/8x1/gG570+d7fsSVR\nkLRzpoddc518zvD9D/CDna5D5lTy4vO5xEkePpJYzbKSGt8mEdE6PSZ4g/GwvTyCYBnYBUkVpLt7\nY8maerXgMXak9N0nCes1ti8Qvb5riAOSdgFk/FcVdjHKEl9/WbGuXEzMv2sO/iM0duVwXWd96/W4\nyE1ltL0P/OW/96sAZwrtd/cW/J//QhaW37bQjve+bt1L9lTuCnXnDjetvxdCO9bQjmiE6+aF9k8A\n3z8ej38ekW9/dDwe/xCwNZlMfmw8Hv9x4GcQj/HTk8nk3fF4/JeAh8CfHo/Hf7o7zh+cTCblDY/9\n5cSmJsZ0ud9GFiE+eQKPH0q5vTyn2nrEhw96VMMRv303YLMZB1uPGdQlBoMJRo41GMAnPyl55eEI\nvvh5mu1D7L5jmLSkwRPyHgxyyjQDn1F4cEVXu9s5EZp5Cjtb4DzLfIhpG1yvJ4sSoctlV9IqfTQU\nkVovJA2fGqBrDDMYSYxk96mI8XZO5hpG9ZIkZKvMc70Uwd1KBrzNh+RtS+ICe9OSr9X7fNM3fxKX\np9h8m7xaEPb2MMO+lA8cjeRTgNEIZxq8caTOitDOMqp5TW9ZUr+fMsxSSCGpa7bbBb7NMIcG9rqO\njamI4oNsxMIUfO3dKbydg2ukJfvRoURrtncJS8fusy/RHz2Ad56KWx1L7zW1vGP398XRbhrYfiD3\nYzHHtzAqZ6S+pUkLstaTeFlk6vf2YHerW0iZSPlH72XyExfLrpf4OwcR2l3ONelqtTddVZNYcvA8\n1vPh8TyXFPhvOr/5zhHPDkq+9197+/UOpAL7XJo10XtS3zrGmeKnLBtgPf99U3/gv/Js5ZydVWEh\njqm5A+I2Tj6aVsXPfaE+WUTsuA8VmWflKaHt9f/FG/2tTSYTD/zIqac/t7b9p4CfOvWaPwb8sesf\n3QYIQdzjfl/cXVdId8hHT8RBxsPjt6jrR0zf28MQqIcF061HeJPQW87YtgtSF8RN3tkRcTdfiFh+\n+23mu4dUg4attCbszyTqMdilzIcUVY0noSERt3Vr2GWvR9A2BJPgTALFgKY3kON7C62TL1fJxKBf\ngG9l8eNo1LUjDxKlaJtuASFARq9ZsuUrgt+SCEreubXTKWDgyWNmW7sctwsGJLjFDCpLVTZgW3q2\nYdgscbNjsumxXGe/L7W7k5qkKmmznDodyKJG2zLvbxGWjVRwGQ3ABoxvGCwWhNSQJBamD0TANrLw\ncbpveTgvKXwDzba48gbpurljwMypFkve2nsPOz2Ez26J0721I9fU70td8PnypHIM/aF0wHQGc3xE\nry2BQJOmNHlGmuf0mopweCBt5I2R1zon7xPTOep+Lp0w0/TCOtfOeQwBbxL5zyvpHPXYrfKyrnYU\n2jFC8jFvKvC//t9f4nNfPeS7f9cnSDcx4VDB/RGaqjl5b7fOr2I2sMq1X5YQXiyZGfEet1ySOotL\nsxtztD/3lcOTn60L5Nlpod25yHegCkqc5Kx/wqDcbeobqj+/KeanhLZTR/seTI/uEzGfORiKIO33\nIH8s1THmlTz/4BHuwyN6tibxHmuGzEYPyNsav53i6gGJqwlZgvHAg13pkLhcwGDEYvsh8+GC7bQi\n7MwBD0Wf/eEDPtl8QN3UXVnAFAjw8CEcTmE+FYM2QJnnhNAt2Kq6WtBNLcLapLh+n6PK8XA7I0lS\nqFtZSDgcyQTg/WcwHOBry1Zdc5T12BoMRTw2jbi8aSqu92FGYS3lcMTXbe8Q3rf4oznpwQHDsgbr\nyE3AWStdLY1nuTD81oHjmz/VwzSWUVUTkrekHnZjmfUtRV7SeBgGD1mOrwPGOAZY2qZreFMtwRuw\nLctn7/PJWU1IgfqR/J7qRsTuooTFgjBdsN0sKasa/2yPZGsIh4cShRlti1M/n4nTPdqSaizegmsw\nswUhBJqsYGs5oyl6lFu7ZMeHnZg/loY5rvv0oNfruk1Kx09CKb+HWKP7DELXMCcYs3LrojC8rNCO\ndbvjay/hpL/pVI0jBHH5Br3XENovi460rdzr3vXkk2+UqzQ+8p62rKWBk0mxjX2xbnwsdXnZiaJz\n3SdC7kWBbi3OB5LgMa69sfbPn10T2q315NmL76H4b/VOONpOHe37hA/h5HfV3BehvZR1SNvDnNny\n5v4d3mVUaG+SpgHbub7GiBjDiLvd78lCv0zKvdkkI8PRZgUhSSHJaLKMeX+b7XKG3xqRlg0Q4BNv\nweEBhEC19YAy36dXGJ4PHtB+8inh8Q6VPyJNE1IC8/5ImrOkCZS1nHNrG7dcYPDkBFxqJGtc1RAs\n0GW6veHZ/oLfemfGv/r12zzO6FoQJjKWJJFOks5LLjvLKHsjyPtA58j6IMfKRWynTYOxhm/+1occ\n7++x1zSkPidLwKQJPnhcvy8Os/csnOFo4ZhOF9Baeu2S4vADaHfg0UNae4Q3hqWzPMgkVmOSI0xq\n8GQY18ixsgwODvFNjfnwGbttSzYYiCu9PZRJhq1XpfZCSp3khNTgvCVpKvA9EUhf+6q443TXNhhI\n9ZXf+iIEh6sdjfdsVTN2ZweU+ZD5zog6zfHGSB5+vgDbwP6BZMIB2pZf/vwerYfv+Y6vX72XYnZ7\njdjONhiz+jhuXWhfxHp0JKwtuoxC52PcMTK6e63zDF7nQC8T2t6/GW73qY6oL8V72qYVoR0SfFwQ\nHB1p5+R4Fwnt2OApy1bv9fV72UWibJB/HyYEbF2ffawNYp3n8+8cnTw+6+P9uxgd0Yz2/aBdmxDd\nF0c7RkcebPU6oX0/xn2dqNDeJIOBVKdYLiV2YJJukV0mrmivB0VB25dSb22aUvdHNNms6xdj8EmC\nzXLccJc0mYsLur0tf9QODghJgs9Skn7BcriD3XpAkyb0qMm3Bxz5gjwbyqLC2TEsZvDkE7D7APe1\ndwlmT2o9m0SiI1kisZEMyYLblnLPYXJDG4LUti4G4qiXiy4SEyTjnOTM+wOMgbyqoEUy3aMhmG5x\nZJLhbMmDao45SshtQzPoUw22WVY1SWvJjJV6191CD39YslUtcT7HJwl5ZUmXU1jOYDhg5/kzTH1M\nSDNjTrsAACAASURBVAt4MOxatnsq04M0EJJEXOfFAhYLqukUW7UUtOQ2wOJYojFpKvnstpUqKOkA\n5wO5cdijY/KtEXxyV/ZbzqX6ys6DkyZBFAM43ofW4ZctgyYjJIbUtrxVPmPnMOPL2S6h35f3Rl3C\n3ofyicP0SGJFwM/+3OdZJjnf861PVpnpfn8VDTEGjCF0f7AD5sWP42LW+jJEcRJFTRTaV4me3Cei\nW3oB8Y9Z+zou32UE9LoQv4+TmpOWi13kY30hbRTPxRnVBazFzkp6TYXJeyIY1ieSabp6D54l3EOQ\nf3Onx7H+nu/G1HojJoazuMZeev1BCIG/9tOf43d942O+83e+9dL9I196f/qCO3yW63jiaN8BoRTF\nWms9PgSSU+/D1jq++N6Ub/n6Bx/Zptw86xOi+xL3iYs3Y0k/FdoqtDeLtVKyLc/EzS0Kyd4mXaWJ\n/gD6fVyvoskKXJLSJil10cdmGb2mIndW3Ji0oPjk14loBdjehQA22aMqhsw/MWLPTik/8RYD31IX\nWywf7TKzMwZJJ6L7A3j+YSfaDGFni6PBLibLaHp9+NTbsviwWorzXWSwt09btWAK2iwXZ9ykEnfw\nXoTfW08hy0gWLfOkTz81tB54/FSOkYpDL8K8IQsBAyQ7OzSPWmiPaIoc2zPYPKGwpbxmqw9lJWXr\njCNtHKax1P2upX3V4D98xm51ROZq+dtblvDBB4SqxCUphQlSxeTwSIT7fEZV1yx7fVo/wJczcZSL\nhTQVMglgoG0wi4YsCbgkJbQNVJm40G0r+2ztyicT3osrbt+F3V04eEZxPOetKXy48xYueDwtg6bm\nYXkA+0eQGTnO8+fi5M368mnCaMDW8T7DuoW93y73O0vlfZR197KQpkI+CgtjXvw47rKLGmPznBhR\n6Y4F3E+n1bmXLwJdzwKfQ/wD9lp/yE67qy/bfp9ETAi8+94hP/vPv8p/8Ae+lV73qRx1Ld+LYiV6\nT3c6tRYWc2xdk3pHAFqSF+NRUWhHl3ztvFgr6xrieeKnL3F7vJddpSJr5P3g0lTyyG27qlt/Ht4z\nn1f803/5Pkfz5kpCe/+4euHxWa7jnYqOrI2vbT294sXJ9c/96vv89X/4ef7ED/0bjL/h4U0PTzlF\ntfaeuS+Odvzb1O/eWxodUaG9WWJt4n5XCq6LNcTugdH98UmC66ID3v//7L1ZrG5bep71zDH7v1vd\n7vdpqrOrbIMTu+IgJJAsS4EIIbgAgbhJhIQEueEGcUUk7rhC5I6bRHBhEJBICEgQoYkERATHVELZ\n5arjqjp12t2s/u9mP0fDxTfH+udaZ+19apePax/jPaSttfb6u/nPOeYY7/d+7/d+btgYYrrIoTpD\nF8a4PBO3EudEb5xn8hFxSj2Zwf0HFMuI6v67TFXL+cExD+5GNMUJ1TQS/+yoFmY7DgV0Lhb02QQd\nhDT5RDa7NAMsZFNIItzlkksd0icJ1XRPbAl7DfMplEcSRBgHUcj2rKQszmnRhGEKDx9I4WQYiO45\nAJIUk62owhj16G1q5jypnjM5WFD0S4JW4yIFaSx6aisdKZtoglEOFypMEKCdEzy8WlEHIaELMOFM\nMgWbDSpSpL2jS2dSd6o7qOV62KIms+BQUuxmjAQYSQRH964YT9vW4Cx1nIsmO3DiShJYKcTMMpH/\nWESfbXp4+12II/q65ejyQrpdRgrnFElXM6k04fs/gPKesNpdJ8emlDiYdDPCrkV1LZyeSsMfZ2Te\nWCPBkrVQVai6QkKWGyzBWD5yA2h/+HzDNI+5t5/fzjb+tNKTL9vwBXH+vnrZ8z4niPCMZO+B2c+i\no775GTfB9OcB8Rvjex9c8M69GXuzL4Geu+v4znvH/P3vnfDnf+k+33z3cPeYtTtw7QGvH/7/xtJZ\nh1YhVoV07gboVWoXLI67phozuOp0sq54xxzndoHijZoDf1+4QNEGQ0DQdS+/nlqj247A2VcGM56l\nXkwTNmV36+vNlXTk9d9j43Wj1eYzQHtddtd+vhl/hNG2gxnBzw6zum7MaL/++fPTDD3sJX5uvSmG\nfAO0v9iRJMJwTiMByV536Bf5YeN11hIZn35trzYKhcWGESaM6e/eF9eQphk6Gwqo0ISUyQy1v08x\n05g0oyFimy+w9/eoThuWi6nY+V32ArRnUzg8gssCG/0QQ0gXpoCS57mJSDd0Tz2bcT53tFHGfHEX\nHr81KtqzIkXZlpAl1DanOFNYa9BhjHv0FoEKoFiLN/fePkSKkxPDtnIwmaAPYD0zLB/f42IL86hE\n9x2kE0gj6FvqFPqyRxno9vepy5IuD6CuMH2PcxYbJazjSIpF45j+pMXGMW2aofsWslg25cWUrnJE\n5xtcoAhdL+c7Gti2XouzStPQ9QWh1gTawOIAVhdQb0VrX5WwuhRwTQAhwnZfXsBsjo5gv1qzqDcs\npwckzpC0jrpxcLGU4OPuPZkDUSLXs1hB1xPonr7pBFg3NVwaKdS8c0csAbU4LARtO/hox1eb93he\nXRWUjQDef/LffJd37s/59/+NX3vxvP2TWBA5lg+8iCH+KVnkbpROvwKKP6vloW8+9DLW+nOA9nLb\n8tf+5u/xm7/2mL/0z3/z1Y/hixwDg9wa0FFMHUQ7H3jYSY78v77fMdRdN7ze0mqLchZlze2p5DDc\ngXZr5f3bwXs+jmQ98USGD6683GT0HuP7onfBdbb8NsAzgPfeWALnXjmr4VP780n8QqB95V39JUj9\nj4+v6wxMrj/uO/rV7cuzQP+/G190lsmvSzcLdl9xtH8CGW0PrLP4DaPtxxug/UWOyUQkE5Xdbbjj\ntPWQsg/0zj3CWXcFuh0BLlD0UXyVAr3S6MYJ5JYqmaCTjiQOscNz2yhitTiCg33qvRWJcrIxpZm0\nKt87gHv36fsTLueHKOswWQ4PHw6yhFD+nZ1zfvddnl1s6eOEo0UmEpTJXOQlTSPWflkOe/ssw5Zn\nlzNy05LUDV0QkIZKHp/Mr6wBy6OCig0kMcF0QbPo0SrFpjlFoIgiDdNMWHMVoc0Kc76hzye06YyT\n/SmHWQt5BAF0cU7oDLUNMbM5YRBysX9A2PZkWDpiUAnEBpIYHUS4UKGiEOOQcxNH4AJYnQvbryKM\ng0Q3HFUNPM3lu04nkKcSZNTVYH842A/GKazXYAwuyDBWkdiOebkiajv2gpZNMEXHj6QBznYjha2P\n35XfuxawJGVB2HWDn3klTid7tRRQ4gYbwylWa5QbfLTHYCUYfNf7fpcqR7IlZaPZVJ/DToXhjkF8\nkU7bWwi+jD1+wei1FIx96539L8Y+D66D1Rfpy18GaAcwbEcOLl3bA0NQ7GUpr3o8/r5/lWO5McpG\nGOLyhk3WFzY8AfCyQMCzccNxexa6r5vrXUWH+oHdOhXv5DzlUNehDV0nXvhqzBo7J4FkFMk95V/j\nnEjC2sEKM893QMgha1U42wHtWxhtGIBJPATcfv56C1Y/vC/9EAi8qk6/uwLaCVDeCtTNl8jpo7/G\naH/2eDywq9vXHxT83Ib3c3/Vxl1+/t3mEjUu2P0jgPhrGu0vgfTopxkeWKdX0pHXP+9f93gDtL/I\nkSQi0yg2slHArqjNpz2tBWvEOSKM0SgCQVTi/RoJkDHeVcJvYHt70E/ok4zIWrI4JMDROUUfhegw\nwR4esDp6QFYsxdYPpBhzYIXsdEExvUOoO4ppJkWWVQkMafgg4DQ/ZDVPSHXHMt+D+/dhW+y6S8YK\n7t2H+w+o9AmnhxFHNIQXF8ImTVN4/La853oDXUMTpIQugDAiii1doLA4dBhT5zFtmGL3AilQ3F/Q\nrh1R0tAnOfV8Trze0Dk5l0bFdHmN6jWOgDaImczntHFJHFtS2xMvV9hggVIKig0KS5fNIMrQtsfO\nZihnZNNuW7EvnM1plSI0GmdC6Hq5lpMc0gRWJWwvBVxPcohSCSSqSooc65Y2VITaknc1semJGsvM\nBQR9K0C92AjAtlbkRaW0Q3a6Jm07HI7AOumQ2VQyh8JIJC5BgGpbkrbBBgG2aa8v4J4RNEa+U5Ls\nmLTucxbozwPa44DxZ2B6/58/POFv/J33+Hf/lV/lz/7CnVd67QvHqwLtm5vdABZ7tdskdTcCtq/K\n8I8tE29zF7lNOvKCDfialMUPX9R50zv6VYcHnd7L/bbv4YH0iCTQDpTREox4bXae7869l3v41/T9\nALQrSBJ01xGbnr7v0B6M+qJizzgHgdhnai3EQt1IfYt1Oya7LqTQem9/B57j+Io1HAPJqw3ez29/\nTcfz3OwcZ3Cv3rXSX6vZRNbt2zXaXz7XEbj9ePxa0XR/ihhtfz++SnA9lkz5Pfrm4+Pf/Xyzdhec\n/hTjGqP9JwGw9j1mOC+pZ7T/pGVL/xjGG6D9RQ43sJ1xIzef3wDGBWfDJDRqmISBkuK7QNhsP65S\noJ4tAghDqmxKk+RE0yl9nNKkOZNZhlUhQRTj8jmnUQgPHgqz3NTDpunoZlNsGKFCWM3vDTpgLRta\n04C2HFeGBEOfJGyymbzHphAHkelMnn94AHfu0KQlNlxhDx/RthaTJeLKcXQ4eOSGgMUkF3STORwd\nEZiKyDyls1O0Cujjmbis0Aj7FSbU6YTlbM7dyYzQ9iinsCoG6wiMY5vsk6gKgpBKKyazmKDXmDzD\nOjBJgplOUPMZFCVdu6Yx0MwW1Mag9+ck/ZD6Nnaw7RNLvz6ZYqzFJZkAkaYTwHB5KX7XaT+4qdRg\nELDuQG1X7LcFnXOEDtFZhwnzYo17dgyPH4iPetPAe38ID+6LJt1ZJtuCQGvM6QnR/qGAcKPh2RMB\n2tMJaE1Yrpk2mtAZXFHs0pIesHkQpjV0Hb2V+fS52j7vZ/wiGcZYd/szFE16vefnMuuvMsbH4QHo\ny55z83fP1Hpw7Zz4O3s29qewPPw7/+Aj3ro7k+BhDLRvft5tnz/Sgl8sKy5WFb/4VQlCrneC47PN\nXYbvaodgXKlXAN5jpu2mnOIKZCc7ycXwma6siaxGV81unmgt36PrJJvnv1M9eMI7OxSGJ7ROEVhH\nqlt0O3QzrSp5D6UGaZqWv3WdZHvCSFyPum5oAga0GpSVrE8UiX5bD829rMV2PcoaLAG2buTe9d70\nQbBr0HQD+PQ2EOLi84LSG8Mz2Ivpy4C2/M1Yhzavt4325wHt5gpov/6g4Oc2bnOx+bznj4t+b1sn\nbiMC/H3s16ub2cF2sJod/X1MkvyRXJF+HmOQyrhhXmWJrC3mjXTkDdD+Qocv0plOb3dDGG6iPkqu\nQLW1TkDyjbd6UbpFo9BhTDaJcUFAp2K6JKdLM1SWEkWK1uZw964A3aYSa7o0xQYhdTYjbzZi3XTn\njoDtYiMSiLJke3ZGkOQEUUzXWtEy37k7aJIL2exUBGWJ7jpCAvYmCZ9mU7bvvMM8cwN41UPxYM5y\ncUhvI/jKu1B8REQke7VKsEFAajX9bA59BYsF6yDlrEz42kLRhSmbScF8ruB+TnVZ4sIL9PSAtUqp\nwgiKgsA4TDwlCEIuZnfQ736deDGHANa/+x51d8Y0UtjOoLOMJBt00nEIdgarNX3gKJOATNdYGIom\naymGrBuxEm8d6EIKIhXCcPeWcLkmKgtiHHWckUYRoTXExhAVa6gWEoA0IhdhvYZ7D6DpCHWPwWHW\nG6I0lQLUTSvMXdvKNbg4Jd1ssTYh0lqYv/V6p6/e29sFdsOC1w/d+NrPY6f6/ro2+SY7fBNo++zM\nT2kH2Axp6M9l1l9ljG0KX2QN9yKgPdpQ++HcBDg6Y68D7Zd8x14b/tv/8wO+9c7+DmiPmaoXAW1/\nvfy/MORv/S8/4HsfXPLX/r3fIkmiKwDU6RGgHevwh+D9P/zPf5d378/5t/7FX3718+YDsrGEpO93\na5gPXIbaENu1BM5JEDB+vj9Xq9Xwdzf0EVBDgyYDusd0HRYI+55wtZQuq2UJs5lI3MpCXtPUUvtg\njYB300uXWefgYF/kXEUpTPd0ujuWooA4xnQ9oTWkukeVg67bF1t69xHPXHad/IuiQTYEuu8/e55e\nMjyjPR8z2v4eGeaj7jWBs7hA0fWvGWiPpSO3ADcf5P2pZLT9PTkutr1tjAmJ24qt/d98lnGcSfFM\nuAfU48duea8/UfZ+w3cxAynwRjqyG2+A9hc5vG3a5wGQ0dpthhsrDK/rC6+kIzeGsQ6rFFksgKo3\nDmsMVoXY6RwVR9hqYGvvHEKZycY8m9H3EevpAhMqFmpwRFFKwKaKMNawKVuOHh1SdFoW4skEjnIB\niL2WheDwCAZ2KzQd+X5OfTKhnu1BZkVbyQBSkow2n9HqEFSIe3CPZ0cbFhNoUoNyhj4Iqe+/BY/u\nwGLB9gcbiiVs9yKsVTSJZTtN4FvfoPzkgu0zw8O9KSdlR1d3cJDTxBHRNGUzPeTMlbi7D+DuPqiI\nzccll5uQlEq8vhd7cowB0mJ9SBtz/ClORaACQtNDkIHqxWecAUQ4BoCkRK/dt7DdEm9XRFjIEnLb\no7uQ0FhWUSr+1+tLyQZYu0uLn5/i0hxrDIYIs1wJAxiGUNWwWcv1OTqCvicpzjloYrpkQnScwYex\nSISyXMCIBx5DU4++aYh1hzUK5xzBGKx58Dxe3H2BWz5q2+I3lTHj7VkZ536qQh+/WXyhTTL8Rjdu\nuHPbc277fQS0u1ZY9sA5AUnjAPklmvWq6oh0T9+014/nZcfrfzYjS7i25XTZoI2la3uSJLrectlf\nJ58Z64TB7YOQp2flVUvtnzol7Z8XRbLhe4Z8HFjEMdBcA9tayz3SmBFA8IWPZSmMdNsNLHaysyWN\nYyhLTNWQtRVJX6M2C3H92ayFwb53X+6H1VLuyzi9CtLRVgC4NcJwL/YEjK83cux5Lk3CkhiSFFtW\npG2NchatR9ekbeVYPLPo6xkAlML0hkh3mC7cadSHx67JdfxrBu23B+jziZyrTpud9CZNJRvQdkRG\nCzGiDZPXuO3qz5OO/GnUaPs1sOt2Wu3BLvLq59g9ZBzka/3ZtWdkw3q1PrXt7n4Jgt088nNlXNsx\nWkvaWxrWaGP5r/63H/PP/pmHfOXB4o/llPxMYzh+bSyh7ski75D1htF+A7S/yDHepF4yru/58p8o\nDBgHrC8C2tpKQ5YwUoTW0BuL7UXzHWYJOp/RLysB0XEstnSBBADaRrTpFKcitpPp0N592ECylmJ+\nyMXsiF+5d4h7dsppb8Q+r2lkI50vpMnKYg/6ns69jyVgnkVoFdI1Bg6nwvQeHkIuv9dRBomG2Zwg\n3uP0Ts3R3LFZG7K+QTmDmU7h0WNwUKUd2/kB6wcHhFWF+nQ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WhMbaq4L8194Z8qb7h2dh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F1J1TB1hANIM8ZRhllI2kap5slSQloSjGI8kVEsFhhJCU095munlQoIHXUNMocoA1NQCUGVxCAN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\n62ew8QpGO81XfX55ozcNM2RVs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0Ftn3llb6rtrh8mQbGqn/7kb77ID//801MafdU3BdBO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\njBBn38F8TrAVxlb0xkHQ+CQl2d/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QBpGDUqS+RQWPrdfMqgssjgTPeeLQsxlcLKA7AQZ7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\nJbbuNdYXrMEo9erxeDd5tCPu2jrysn2LUYt3MQQ7YsSIESNGjHhjjH+R7xJ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(returns)\n", + "plot(np.exp(trace[s][::10].T), 'r', alpha=.03);\n", + "sd = np.exp(trace[s].T)\n", + "plot(-np.exp(trace[s][::10].T), 'r', alpha=.03);\n", + "xlabel('time')\n", + "ylabel('returns')\n", + "plt.ylim(-0.07, 0.07);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "1. Hoffman & Gelman. (2011). [The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo](http://arxiv.org/abs/1111.4246). " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [conda env:pymc3_dev]", + "language": "python", + "name": "conda-env-pymc3_dev-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + }, + "nav_menu": {}, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 1 +}