docs/examples/numpyro_and_bayeux.ipynb

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      "source": [
        "!pip install bayeux-ml"
      ]
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      "source": [
        "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 numpyro\n",
        "\n",
        "\n",
        "dist = numpyro.distributions"
      ]
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        "# Using bayeux with numpyro\n",
        "\n",
        "`bayeux` has a built-in function `bx.Model.from_numpyro` that makes it easy to work with `numpyro` models.  [More on NumPyro here](https://num.pyro.ai/en/latest/index.html#)\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",
        "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",
        "def numpyro_model():\n",
        "  avg_effect = numpyro.sample('avg_effect', dist.Normal(0., 10.))\n",
        "  avg_stddev = numpyro.sample('avg_stddev', dist.HalfNormal(10.))\n",
        "  with numpyro.plate('J', 8):\n",
        "    school_effects = numpyro.sample('school_effects', dist.Normal(0., 1.))\n",
        "    numpyro.sample('observed',\n",
        "                   dist.Normal(avg_effect[..., None] + avg_stddev[..., None] * school_effects,\n",
        "                               treatment_stddevs),\n",
        "                   obs=treatment_effects)\n",
        "\n",
        "bx_model = bx.Model.from_numpyro(numpyro_model)"
      ]
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              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    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-6fb01f54-99aa-4818-aeeb-7ac7eca31632 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         6.498  4.225  -1.617   14.281      0.072    0.053    3499.0    2559.0    1.0\n",
              "avg_stddev         4.588  3.638   0.002   11.262      0.075    0.053    1877.0    1610.0    1.0\n",
              "school_effects[0]  0.342  0.962  -1.430    2.219      0.016    0.014    3832.0    2866.0    1.0\n",
              "school_effects[1]  0.048  0.917  -1.720    1.753      0.015    0.015    3568.0    2978.0    1.0\n",
              "school_effects[2] -0.164  0.949  -1.869    1.702      0.014    0.016    4428.0    2716.0    1.0\n",
              "school_effects[3]  0.016  0.909  -1.744    1.697      0.013    0.014    4546.0    3120.0    1.0\n",
              "school_effects[4] -0.259  0.929  -1.957    1.497      0.016    0.014    3436.0    2951.0    1.0\n",
              "school_effects[5] -0.143  0.928  -1.878    1.597      0.014    0.015    4132.0    2834.0    1.0\n",
              "school_effects[6]  0.337  0.935  -1.513    1.993      0.015    0.014    3757.0    3180.0    1.0\n",
              "school_effects[7]  0.070  0.982  -1.797    1.901      0.016    0.016    3929.0    2696.0    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": 503
        },
        "executionInfo": {
          "elapsed": 3026,
          "status": "ok",
          "timestamp": 1704904895388,
          "user": {
            "displayName": "",
            "userId": ""
          },
          "user_tz": 300
        },
        "id": "u16VLPPn6gfc",
        "outputId": "25be59f3-88de-4531-cd5f-45b9e81658ae"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'avg_effect': Array([6.170515 , 6.170513 , 6.170513 , 6.1705136, 6.1705155, 6.1705165,\n",
              "        6.170514 , 6.1705165], dtype=float32),\n",
              " 'avg_stddev': Array([10.625167 , 10.625165 , 10.625165 , 10.6250305, 10.625165 ,\n",
              "        10.625165 , 10.625165 , 10.625165 ], dtype=float32),\n",
              " 'school_effects': Array([[ 0.68643355,  0.09130633, -0.26413605,  0.0376812 , -0.3929353 ,\n",
              "         -0.23488224,  0.5903885 ,  0.14177176],\n",
              "        [ 0.6864336 ,  0.09130642, -0.264136  ,  0.03768136, -0.39293545,\n",
              "         -0.23488215,  0.59038854,  0.1417718 ],\n",
              "        [ 0.6864337 ,  0.09130641, -0.26413602,  0.03768132, -0.39293548,\n",
              "         -0.23488215,  0.5903885 ,  0.14177178],\n",
              "        [ 0.68643266,  0.0913064 , -0.2653734 ,  0.03768122, -0.39293522,\n",
              "         -0.23488234,  0.5903885 ,  0.14177188],\n",
              "        [ 0.68643355,  0.0913063 , -0.26413605,  0.03768115, -0.39293563,\n",
              "         -0.23488225,  0.5903884 ,  0.14177172],\n",
              "        [ 0.68643355,  0.09130625, -0.26413608,  0.03768115, -0.39293572,\n",
              "         -0.2348823 ,  0.59038836,  0.1417717 ],\n",
              "        [ 0.6864336 ,  0.09130637, -0.26413602,  0.03768124, -0.3929355 ,\n",
              "         -0.23488219,  0.5903885 ,  0.14177176],\n",
              "        [ 0.68643355,  0.09130625, -0.26413608,  0.03768115, -0.3929357 ,\n",
              "         -0.2348823 ,  0.59038836,  0.1417717 ]], dtype=float32)}"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
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qWJowzmr9zcjizGxK0jP6/PSkpHPnJWPl189KTsa1avs1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\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.PRNGKey(0))\n",
        "\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": 6,
      "metadata": {
        "colab": {
          "height": 225
        },
        "executionInfo": {
          "elapsed": 10753,
          "status": "ok",
          "timestamp": 1704905019377,
          "user": {
            "displayName": "",
            "userId": ""
          },
          "user_tz": 300
        },
        "id": "yaPUpfDH6-yd",
        "outputId": "50a27f6a-7c8a-4f4a-dabf-7d768bae16be"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'avg_effect': Array(6.4629807, dtype=float32),\n",
              " 'avg_stddev': Array(3.9471092, dtype=float32),\n",
              " 'school_effects': Array([ 0.36255646,  0.05804498, -0.17273399, -0.01884749, -0.21912189,\n",
              "        -0.16507226,  0.3044645 ,  0.06365629], dtype=float32)}"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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FJFBoqfbnUXvKGHXo88hlU+D2weoKF5CXvvZ8zL7WlZdh8/xP0dIQ07A7Zl3MQAIkQAIk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\nH+zruEZ6Uc0xv6+9aKwpGwp3L6QMpVIRLX9TipOVkUAnEsj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fyj9fynGV/H2NvM8rfmJz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bEn81xhZ0DxyCtx3u5zoGzAdy+agvTaPEwr2oSiqd/2ddNtwUiHBw9tLMKkKRMw6XATigvlFsGY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\nEZAISAQkAhIBicD/Ay34JqnXolw+AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "\u003cFigure size 1200x200 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "image/png": {
              "height": 139,
              "width": 703
            }
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "surrogate_posterior, losses = bx_model.vi.tfp_factored_surrogate_posterior(\n",
        "    seed=jax.random.PRNGKey(0))\n",
        "\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(12, 2))\n",
        "ax.plot(losses.T)\n",
        "\n",
        "draws = surrogate_posterior.sample(100, seed=jax.random.PRNGKey(1))\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": {
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.10.13"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}