docs/examples/tfp_and_bayeux.ipynb

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        "import arviz as az\n",
        "import bayeux as bx\n",
        "import jax\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tensorflow_probability.substrates.jax as tfp\n",
        "\n",
        "tfd = tfp.distributions"
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        "# Using bayeux with TFP-on-JAX\n",
        "\n",
        "`bayeux` has a built-in function for working with TFP models, `bx.Model.from_tfp`. [More on TensorFlow Probability here](https://www.tensorflow.org/probability/).\n",
        "\n",
        "We implement a common hierarchical model of the eight schools dataset (Rubin 1981¹), whose details can be seen on the [Stan documentation](https://mc-stan.org/users/documentation/case-studies/divergences_and_bias.html), [PyMC documentation](https://www.pymc.io/projects/examples/en/latest/diagnostics_and_criticism/Diagnosing_biased_Inference_with_Divergences.html), [TFP documentation](https://www.tensorflow.org/probability/examples/Eight_Schools), [numpyro documentation](https://num.pyro.ai/en/stable/getting_started.html#a-simple-example-8-schools), among others.\n",
        "\n",
        "\n",
        "¹ _Rubin, Donald B. 1981. “Estimation in Parallel Randomized Experiments.” Journal of Educational and Behavioral Statistics 6 (4): 377–401._"
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        "num_schools = 8\n",
        "treatment_effects = np.array([28, 8, -3, 7, -1, 1, 18, 12], dtype=np.float32)\n",
        "treatment_stddevs = np.array([15, 10, 16, 11, 9, 11, 10, 18], dtype=np.float32)\n",
        "\n",
        "@tfd.JointDistributionCoroutineAutoBatched\n",
        "def tfp_model():\n",
        "  avg_effect = yield tfd.Normal(0., 10., name='avg_effect')\n",
        "  avg_stddev = yield tfd.HalfNormal(10., name='avg_stddev')\n",
        "  school_effects = yield tfd.Sample(\n",
        "      tfd.Normal(0., 1.), sample_shape=8, name='school_effects')\n",
        "\n",
        "  yield tfd.Normal(loc=avg_effect + avg_stddev * school_effects,\n",
        "                   scale=treatment_stddevs, name='observed')\n",
        "\n",
        "bx_model = bx.Model.from_tfp(\n",
        "    tfp_model.experimental_pin(observed=treatment_effects))"
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              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "\u003c/style\u003e\n",
              "\n",
              "  \u003cscript\u003e\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() =\u003e {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-d3d4b139-387c-49bb-890d-8ce73b7e10f2 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  \u003c/script\u003e\n",
              "\u003c/div\u003e\n",
              "    \u003c/div\u003e\n",
              "  \u003c/div\u003e\n"
            ],
            "text/plain": [
              "                    mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  ess_tail  r_hat\n",
              "avg_effect         6.593  4.070  -1.180   14.317      0.054    0.043    5630.0    3278.0    1.0\n",
              "avg_stddev         4.617  3.548   0.003   10.873      0.069    0.054    3387.0    2334.0    1.0\n",
              "school_effects[0]  0.341  0.973  -1.408    2.201      0.012    0.017    6129.0    2774.0    1.0\n",
              "school_effects[1]  0.055  0.912  -1.654    1.741      0.011    0.016    7001.0    2885.0    1.0\n",
              "school_effects[2] -0.140  0.952  -1.973    1.590      0.012    0.015    6433.0    3189.0    1.0\n",
              "school_effects[3] -0.000  0.933  -1.766    1.723      0.011    0.016    6824.0    3069.0    1.0\n",
              "school_effects[4] -0.256  0.917  -1.879    1.543      0.013    0.014    4907.0    3054.0    1.0\n",
              "school_effects[5] -0.139  0.942  -1.935    1.646      0.012    0.016    6657.0    3072.0    1.0\n",
              "school_effects[6]  0.338  0.944  -1.617    1.973      0.013    0.015    5215.0    2890.0    1.0\n",
              "school_effects[7]  0.056  0.954  -1.692    1.870      0.011    0.016    7033.0    3048.0    1.0"
            ]
          },
          "execution_count": 3,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "idata = bx_model.mcmc.blackjax_nuts(seed=jax.random.key(0))\n",
        "\n",
        "az.summary(idata)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "colab": {
          "height": 538
        },
        "executionInfo": {
          "elapsed": 3780,
          "status": "ok",
          "timestamp": 1704905400983,
          "user": {
            "displayName": "",
            "userId": ""
          },
          "user_tz": 300
        },
        "id": "u16VLPPn6gfc",
        "outputId": "4b9dc36a-a457-42a9-aa7f-2fea4038acc2"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "StructTuple(\n",
              "  avg_effect=Array([6.170572 , 6.170516 , 6.1705165, 6.1705136, 6.170514 , 6.170519 ,\n",
              "           6.1705165, 6.170516 ], dtype=float32),\n",
              "  avg_stddev=Array([10.624942, 10.625168, 10.625167, 10.625159, 10.625164, 10.625158,\n",
              "           10.625162, 10.625166], dtype=float32),\n",
              "  school_effects=Array([[ 0.6820582 ,  0.09130666, -0.2641336 ,  0.03768046, -0.3825404 ,\n",
              "            -0.2348828 ,  0.5903886 ,  0.14177026],\n",
              "           [ 0.68643355,  0.09130628, -0.2641361 ,  0.03768098, -0.39293563,\n",
              "            -0.23488228,  0.59038836,  0.14177173],\n",
              "           [ 0.68643355,  0.09130625, -0.2641361 ,  0.0376812 , -0.39293563,\n",
              "            -0.23488231,  0.5903883 ,  0.1417717 ],\n",
              "           [ 0.6864335 ,  0.09130641, -0.26382452,  0.03768129, -0.39293548,\n",
              "            -0.23488213,  0.59038854,  0.14177175],\n",
              "           [ 0.68643355,  0.0913064 , -0.26413602,  0.03768126, -0.39293554,\n",
              "            -0.23488219,  0.59038854,  0.14177175],\n",
              "           [ 0.6864333 ,  0.09130613, -0.26413608,  0.03768104, -0.39293587,\n",
              "            -0.2348824 ,  0.5903882 ,  0.1417716 ],\n",
              "           [ 0.6864335 ,  0.09130625, -0.26413605,  0.03768114, -0.3929357 ,\n",
              "            -0.23488227,  0.59038836,  0.14177169],\n",
              "           [ 0.68643355,  0.09130628, -0.26413608,  0.03768117, -0.39293563,\n",
              "            -0.23488228,  0.59038836,  0.14177173]], dtype=float32)\n",
              ")"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
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EEEAAAQQQQAABBBBAAAEEEEAAAQTcI9Csnr+/oSS3a/xvmrhNbcCT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\nAABJRU5ErkJggg==\n",
            "text/plain": [
              "\u003cFigure size 1200x200 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "image/png": {
              "height": 139,
              "width": 703
            }
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "opt_results = bx_model.optimize.optax_adam(seed=jax.random.key(0))\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(12, 2))\n",
        "ax.plot(opt_results.loss.T)\n",
        "opt_results.params"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "height": 260
        },
        "executionInfo": {
          "elapsed": 22435,
          "status": "ok",
          "timestamp": 1704905423462,
          "user": {
            "displayName": "",
            "userId": ""
          },
          "user_tz": 300
        },
        "id": "yaPUpfDH6-yd",
        "outputId": "4693ab2a-7ff8-4b41-cd35-8371356f0f48"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "StructTuple(\n",
              "  avg_effect=Array(6.5087867, dtype=float32),\n",
              "  avg_stddev=Array(3.7763548, dtype=float32),\n",
              "  school_effects=Array([ 0.3577297 ,  0.06299979, -0.08964223, -0.02790713, -0.26249716,\n",
              "           -0.1486009 ,  0.36491287,  0.05022464], dtype=float32)\n",
              ")"
            ]
          },
          "execution_count": 5,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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Atd3lC/QWVvkDwa9J4Pdvc3fi3k82Y80BtfIHGwUoQAEKUIACFKAABShAAQpQgAIUoAAF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uFU+c+L3xZcj5NsI1BSXgH5tPX9CnTbN+BS+R6/bbEBo047s6kvRdvgWPOz3K/fJ7nldYmNvOd/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\nBAFBQBAQBAQBQUAQEAQEgf8HEa2GQfetzMgAAAAASUVORK5CYII=\n",
            "text/plain": [
              "\u003cFigure size 1200x200 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "image/png": {
              "height": 139,
              "width": 703
            }
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fit_key, draw_key = jax.random.split(jax.random.key(0))\n",
        "surrogate_posterior, losses = bx_model.vi.tfp_factored_surrogate_posterior(\n",
        "    seed=fit_key)\n",
        "\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(12, 2))\n",
        "ax.plot(losses.T)\n",
        "\n",
        "draws = surrogate_posterior.sample(100, seed=draw_key)\n",
        "jax.tree.map(lambda x: np.mean(x, axis=(0, 1)), draws)"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "last_runtime": {
        "build_target": "",
        "kind": "local"
      },
      "provenance": [],
      "toc_visible": true
    },
    "jupytext": {
      "formats": "ipynb,md:myst"
    },
    "kernelspec": {
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