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Bayesian Time Series Analysis with TFP on JAX (Part 1).ipynb
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"metadata": { | |
"colab": { | |
"name": "Bayesian Time Series Analysis with TFP on JAX (Part 1).ipynb", | |
"provenance": [], | |
"authorship_tag": "ABX9TyOko+zF1GVFxtxUV4L15NKN", | |
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"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/junpenglao/46ec3cf14d1e269aa43b0b520b4b33bc/bayesian-time-series-analysis-with-tfp-on-jax-part-1.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"!pip install -Uq tfp-nightly[jax]" | |
], | |
"metadata": { | |
"id": "mX_uHugAZ6ki", | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"outputId": "b4a2f9df-725e-48ed-d4d4-61ca4ea6d93e" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"\u001b[K |████████████████████████████████| 6.5 MB 8.0 MB/s \n", | |
"\u001b[?25h" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"# Bayesian Time Series Analysis with TFP on JAX (Part 1)\n", | |
"Author: Junpeng Lao \n", | |
"Material for [Paris workshop on Bayesian Deep Learning for Cosmology and Time Domain Astrophysics](https://indico.in2p3.fr/event/26887/)\n" | |
], | |
"metadata": { | |
"id": "_FQscJYhY2hP" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"id": "ECReuSapYd-1" | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"%config InlineBackend.figure_format = 'retina'\n", | |
"\n", | |
"plt.rcParams['xtick.major.size'] = 0\n", | |
"plt.rcParams['ytick.major.size'] = 0\n", | |
"plt.rcParams['xtick.minor.size'] = 0\n", | |
"plt.rcParams['ytick.minor.size'] = 0\n", | |
"plt.rcParams['xtick.labelsize'] = 'large'\n", | |
"plt.rcParams['ytick.labelsize'] = 'large'\n", | |
"plt.rcParams['legend.frameon'] = False\n", | |
"plt.rcParams['figure.figsize'] = (10, 5)\n", | |
"\n", | |
"import arviz as az\n", | |
"az.style.use(['arviz-white', 'arviz-plasmish'])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## Introduction to TFP on JAX" | |
], | |
"metadata": { | |
"id": "HLSpAJp_cXNs" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"### JAX\n", | |
"\n", | |
"If you don't already know JAX, a good quick demo to start is https://www.kaggle.com/code/truthr/jax-0. The official JAX 101 is also excellent https://jax.readthedocs.io/en/latest/jax-101/index.html\n", | |
"\n", | |
"\n", | |
"On a high level, you can consider JAX to be Numpy+Scipy but you can easily get gradient (auto differentiation), JIT and vectorization with great GPU and TPU support (fast computation)" | |
], | |
"metadata": { | |
"id": "2hgcnyoKmljd" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"id": "yR1qh2fRmeQ5", | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"outputId": "dd3d2457-f406-4833-b43c-29de30af1d11" | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" | |
] | |
} | |
], | |
"source": [ | |
"import jax\n", | |
"import jax.numpy as jnp\n", | |
"import jax.scipy as jsp\n", | |
"\n", | |
"rng = jax.random.PRNGKey(20220601)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"USE_FLOAT64 = False #@param {type:\"boolean\"}\n", | |
"if USE_FLOAT64:\n", | |
" from jax.config import config\n", | |
" config.update(\"jax_enable_x64\", True)\n", | |
" dtype = np.float64\n", | |
"else:\n", | |
" dtype = np.float32" | |
], | |
"metadata": { | |
"id": "eSAy8xgTOm3o" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"print(jax.default_backend())" | |
], | |
"metadata": { | |
"id": "DW0jRunwNTTF", | |
"outputId": "9d478aef-503a-4355-baf9-35a72e9a0ec8", | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
} | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"cpu\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"### TFP\n", | |
"\n", | |
"TensorFlow Probability, or more informally Tensor-friendly Probability, is a great Python library built by awesome Googlers that fits all your day to day need of Bayesian modeling and Probabilistic Deep Learning." | |
], | |
"metadata": { | |
"id": "_awi3vrSnuDL" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import tensorflow_probability.substrates.jax as tfp\n", | |
"\n", | |
"tfd = tfp.distributions\n", | |
"tfb = tfp.bijectors\n", | |
"sts = tfp.sts\n", | |
"tfl = tfp.tf2jax.linalg" | |
], | |
"metadata": { | |
"id": "ho2U7grkoGn1" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"### Linear regression example" | |
], | |
"metadata": { | |
"id": "cTuvE2VgbYW0" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"theta0, theta1 = 1.2, 2.6\n", | |
"sigma = 0.4\n", | |
"num_timesteps = 100\n", | |
"\n", | |
"x = jnp.linspace(0., 1., num_timesteps)[..., None]\n", | |
"yhat = theta0 + theta1 * x\n", | |
"\n", | |
"rng, key = jax.random.split(rng, 2)\n", | |
"# y ∼ Normal(yhat, σ^2)\n", | |
"y = tfd.Normal(yhat, sigma).sample(seed=key)" | |
], | |
"metadata": { | |
"id": "9EgO9F_33Hjw" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"_, ax = plt.subplots()\n", | |
"ax.scatter(x, y, 100);" | |
], | |
"metadata": { | |
"colab": { | |
"height": 508, | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "BNQbInLNYr5E", | |
"outputId": "550a0ee6-7774-49ea-a7c2-bd3489340108" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 720x480 with 1 Axes>" | |
], | |
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| |
}, | |
"metadata": { | |
"image/png": { | |
"width": 731, | |
"height": 491 | |
} | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"from collections import namedtuple\n", | |
"\n", | |
"params = namedtuple(\"model_params\", [\"b\", \"w\", \"log_sigma\"])\n", | |
"\n", | |
"def model(params, X): \n", | |
" yhat = params.b + params.w * X\n", | |
" sigma = jnp.exp(params.log_sigma)\n", | |
" return tfd.Normal(yhat, sigma)\n", | |
"\n", | |
"@jax.jit\n", | |
"def loss_fn(params, X, y):\n", | |
" y_dist = model(params, X)\n", | |
" return -jnp.mean(y_dist.log_prob(y))" | |
], | |
"metadata": { | |
"id": "uQn2M8eqceIE" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"@jax.jit\n", | |
"def update(params, X, y, lr=0.1):\n", | |
" grads = jax.grad(loss_fn)(params, X, y)\n", | |
" update_fn = lambda v, g: v - lr * g\n", | |
" return jax.tree_map(update_fn, params, grads)\n", | |
"\n", | |
"theta = params(10., 10., 0.)\n", | |
"hist = [theta]\n", | |
"for _ in range(1000):\n", | |
" theta = update(theta, x, y)\n", | |
" hist.append(theta)" | |
], | |
"metadata": { | |
"id": "Or8ICyW0og4W" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"hist_array = np.asarray(hist)" | |
], | |
"metadata": { | |
"id": "PSwl-WmqrOYk" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plt.plot(hist_array[10:], lw=2.5);\n", | |
"plt.hlines([theta0, theta1, np.log(sigma)], 0, 1000, colors=['C0', 'C1', 'C2'], ls='--')\n", | |
"plt.legend([r'$\\theta_0$', r'$\\theta_1$', r'$log(\\sigma)$'], fontsize=15);" | |
], | |
"metadata": { | |
"colab": { | |
"height": 508, | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "hZdQbG3ixfqt", | |
"outputId": "e46e8cce-e153-4954-943d-f702e26ce063" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 720x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": { | |
"image/png": { | |
"width": 731, | |
"height": 491 | |
} | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"@tfd.JointDistributionCoroutineAutoBatched\n", | |
"def linear_model():\n", | |
" w = yield tfd.Normal(0., 10., name='w')\n", | |
" b = yield tfd.Normal(0., 100., name='b')\n", | |
" sigma = yield tfd.HalfNormal(5., name='sigma')\n", | |
" y_hat = b + w * x\n", | |
" yield tfd.Normal(y_hat, sigma, name='y')" | |
], | |
"metadata": { | |
"id": "O6KOF547deee" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"rng, sample_key = jax.random.split(rng, 2)\n", | |
"sample = linear_model.sample(seed=sample_key)\n", | |
"jax.tree_map(lambda x: x.shape, sample)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "jpYc4_s3eMwR", | |
"outputId": "a6a99979-edf0-42ea-a275-4112a6599827" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"StructTuple(\n", | |
" w=(),\n", | |
" b=(),\n", | |
" sigma=(),\n", | |
" y=(100, 1)\n", | |
")" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 14 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"sample = linear_model.sample(10, seed=sample_key)\n", | |
"jax.tree_map(lambda x: x.shape, sample)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "2rPmY3DOec-p", | |
"outputId": "a47c1484-d60f-4641-f8ce-d09d672b9650" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"StructTuple(\n", | |
" w=(10,),\n", | |
" b=(10,),\n", | |
" sigma=(10,),\n", | |
" y=(10, 100, 1)\n", | |
")" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 15 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"prior_samples = linear_model.sample(200, seed=sample_key)\n", | |
"prior_predictive_samples = prior_samples.y.squeeze()\n", | |
"plt.plot(prior_predictive_samples.T, alpha=.5);" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 508 | |
}, | |
"id": "Ubswg72ueoj4", | |
"outputId": "d9839c27-902c-4cad-80fb-0b133d3325d8" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 720x480 with 1 Axes>" | |
], |
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