{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "TFP Release Notebook - 0.11.0", "provenance": [], "collapsed_sections": [], "toc_visible": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "P20Z1RhWhPmX" }, "source": [ "##### Copyright 2020 The TensorFlow Probability Authors.\n", "\n", "Licensed under the Apache License, Version 2.0 (the \"License\");" ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "qS8MroChhSzR", "colab": {} }, "source": [ "#@title Licensed under the Apache License, Version 2.0 (the \"License\"); { display-mode: \"form\" }\n", "# you may not use this file except in compliance with the License.\n", "# You may obtain a copy of the License at\n", "#\n", "# https://www.apache.org/licenses/LICENSE-2.0\n", "#\n", "# Unless required by applicable law or agreed to in writing, software\n", "# distributed under the License is distributed on an \"AS IS\" BASIS,\n", "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n", "# See the License for the specific language governing permissions and\n", "# limitations under the License." ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "JJ3UDciDVcB5" }, "source": [ "# TFP Release Notes notebook (0.11.0)\n", "\n", "The intent of this notebook is to help TFP 0.11.0 \"come to life\" via some small snippets - little demos of things you can achieve with TFP.\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " View on TensorFlow.org\n", " \n", " Run in Google Colab\n", " \n", " View source on GitHub\n", " \n", " Download notebook\n", "
" ] }, { "cell_type": "code", "metadata": { "id": "oUPWBWHIHBPM", "colab_type": "code", "cellView": "both", "colab": { "base_uri": "https://localhost:8080/", "height": 71 }, "outputId": "abce4969-4800-44f9-e47a-c2cf858b0ce6" }, "source": [ "#@title Installs & imports { vertical-output: true }\n", "!pip3 install -U -q tensorflow==2.3.0 tensorflow_probability==0.11.0\n", "\n", "import tensorflow as tf\n", "import tensorflow_probability as tfp\n", "assert '0.11' in tfp.__version__, tfp.__version__\n", "assert '2.3' in tf.__version__, tf.__version__\n", "tfd = tfp.distributions\n", "tfb = tfp.bijectors\n", "tfpk = tfp.math.psd_kernels\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.interpolate\n", "import IPython\n", "import seaborn as sns" ], "execution_count": 1, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n", " import pandas.util.testing as tm\n" ], "name": "stderr" } ] }, { "cell_type": "markdown", "metadata": { "id": "zviD-PX1Hmeq", "colab_type": "text" }, "source": [ "## TFP can run on JAX\n", "_Note, this has moved up to `tfp.substrates` in nightly builds._" ] }, { "cell_type": "code", "metadata": { "id": "kmF4AXAfHMDG", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 574 }, "outputId": "fc840085-d5ac-40f0-ac27-8542bf722b9b" }, "source": [ "import jax\n", "from jax import config\n", "config.update('jax_enable_x64', True)\n", "\n", "def demo_jax():\n", " import tensorflow_probability.substrates.jax as tfp\n", " tfd = tfp.distributions\n", " tfb = tfp.bijectors\n", "\n", " @jax.jit\n", " def vmap_sample(seeds):\n", " d = tfb.Shift(2.)(tfb.Scale(2.)(tfd.Normal(0, 1)))\n", " return jax.vmap(lambda seed: d.sample(seed=seed))(seeds)\n", "\n", " def vmap_grad(seeds, sh, sc):\n", " d = lambda sh, sc: tfb.Shift(sh)(tfb.Scale(sc)(tfd.Normal(0, 1)))\n", " return jax.vmap(\n", " jax.grad(lambda sh, sc, samp: d(sh, sc).log_prob(samp), \n", " argnums=(0,1,2)),\n", " in_axes=(None, None, 0))(sh, sc, vmap_sample(seeds))\n", "\n", " seed = jax.random.PRNGKey(123)\n", " seeds = jax.random.split(seed, 10)\n", " print('jit vmap sample:', vmap_sample(seeds))\n", " print('vmap grad:', vmap_grad(seeds, 2., 2.))\n", "\n", " @jax.jit\n", " def hmm_sample(seed):\n", " init, transition, obsv, sample = jax.random.split(seed, num=4)\n", " d = tfd.HiddenMarkovModel(\n", " initial_distribution=tfd.Categorical(logits=jax.random.uniform(init, [3]) + .1),\n", " transition_distribution=tfd.Categorical(logits=jax.random.uniform(transition, [3, 3]) + .1),\n", " observation_distribution=tfd.Normal(loc=jax.random.normal(obsv, [3]), scale=1.),\n", " num_steps=10)\n", " samps = d.sample(seed=sample)\n", " return samps, d.log_prob(samps)\n", " print('hmm:', hmm_sample(jax.random.PRNGKey(123)))\n", "\n", " @jax.jit\n", " def nuts(seed):\n", " return tfp.mcmc.sample_chain(\n", " num_results=10,\n", " num_burnin_steps=50,\n", " current_state=np.zeros([75]),\n", " kernel=tfp.mcmc.NoUTurnSampler(\n", " target_log_prob_fn=lambda x: -(x - .2)**2 / .05,\n", " step_size=.1),\n", " trace_fn=None,\n", " seed=seed)\n", " print('nuts:')\n", " plt.hist(nuts(seed=jax.random.PRNGKey(7)).reshape(-1), bins=20, density=True)\n", "\n", "demo_jax()" ], "execution_count": 2, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/jax/lib/xla_bridge.py:125: UserWarning: No GPU/TPU found, falling back to CPU.\n", " warnings.warn('No GPU/TPU found, falling back to CPU.')\n" ], "name": "stderr" }, { "output_type": "stream", "text": [ "jit vmap sample: [ 2.17746 2.6618252 3.427014 -0.80979496 5.87146 4.2002716\n", " 1.2994273 1.2281269 3.5244293 4.1996603 ]\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/jax/numpy/lax_numpy.py:1531: FutureWarning: jax.numpy reductions won't accept lists and tuples in future versions, only scalars and ndarrays\n", " warnings.warn(msg, category=FutureWarning)\n" ], "name": "stderr" }, { "output_type": "stream", "text": [ "vmap grad: (DeviceArray([ 0.04436499, 0.1654563 , 0.35675353, -0.70244873,\n", " 0.96786499, 0.5500679 , -0.17514318, -0.19296828,\n", " 0.38110733, 0.54991508], dtype=float64), DeviceArray([-0.4960635 , -0.44524843, -0.24545383, 0.48686844,\n", " 1.37352526, 0.10514939, -0.43864973, -0.42552648,\n", " -0.20951441, 0.10481316], dtype=float64), DeviceArray([-0.04436499, -0.1654563 , -0.35675353, 0.7024487 ,\n", " -0.967865 , -0.5500679 , 0.17514318, 0.19296828,\n", " -0.38110733, -0.5499151 ], dtype=float32))\n", "hmm: (DeviceArray([-0.30260671, -0.38072154, 0.57980393, -0.30949971,\n", " 1.22571819, -1.72733693, -1.13891736, -0.05021395,\n", " 0.33300565, -0.31721795], dtype=float64), DeviceArray(-12.69673571, dtype=float64))\n", "nuts:\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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D+Cq9zw7e3d33Pnr/sQB+AfgHYB/wb8CzJ/Tz65frt7rvy//Qe8ewZ0ZyfQ74xrLX084ZyfVBYE+X6VbgebOQa8XYLzCBo1wG/H79dff9urv7fv36jOQKvd1Ue4F7gfPGmcdT/yWpEbO0y0WStA4WuiQ1wkKXpEZY6JLUCAtdkhphoUtSIyx0SWrE/wONldDa0MRDNwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "mFuJn_9MaEat", "colab_type": "text" }, "source": [ "## Inference with Sequential Monte Carlo (experimental)" ] }, { "cell_type": "code", "metadata": { "id": "GEKG_KeWfy4s", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 621 }, "outputId": "cd31c493-aa01-45e5-9e7d-6ee7cc08f709" }, "source": [ "nmodes = 7\n", "loc_prior = tfd.MultivariateNormalDiag(loc=[0, 0], scale_diag=[2, 2])\n", "mode_locs = loc_prior.sample(nmodes, seed=(0, 1))\n", "logits_prior = tfd.Uniform()\n", "mode_logits = logits_prior.sample(nmodes, seed=(0, 2))\n", "\n", "make_mvn = lambda locs: tfd.MultivariateNormalDiag(\n", " loc=locs, scale_diag=tf.ones_like(locs))\n", "make_mixture = lambda locs, logits: tfd.MixtureSameFamily(\n", " mixture_distribution=tfd.Categorical(logits=logits),\n", " components_distribution=make_mvn(locs))\n", "\n", "true_dist = make_mixture(mode_locs, mode_logits)\n", "\n", "from mpl_toolkits import mplot3d\n", "x = np.linspace(-6, 6, 100)\n", "y = np.linspace(-6, 6, 100)\n", "\n", "X, Y = np.asarray(np.meshgrid(x, y), dtype=np.float32)\n", "\n", "Z = true_dist.prob(tf.stack([X, Y], axis=-1))\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(\n", " X, Y, Z, rstride=1, cstride=1, cmap='coolwarm', edgecolor='none')\n", "plt.title('source distribution')\n", "plt.show()\n", "\n", "data_size = 256\n", "samps = true_dist.sample(data_size, seed=(0, 3))\n", "sns.kdeplot(*samps.numpy().T)\n", "plt.scatter(*samps.numpy().T)\n", "plt.title('data')\n", "plt.show()" ], "execution_count": 4, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "x8Un2FoJf0ne", "colab_type": "code", "colab": {} }, "source": [ "nparticles = 2048\n", "seed = ()\n", "(n_stage, final_state, final_kernel_results\n", " ) = tfp.experimental.mcmc.sample_sequential_monte_carlo(\n", " prior_log_prob_fn=lambda locs, logits: (\n", " tf.reduce_sum(loc_prior.log_prob(locs)) +\n", " tf.reduce_sum(logits_prior.log_prob(logits))),\n", " likelihood_log_prob_fn=lambda locs, logits: (\n", " tfd.Sample(make_mixture(locs, logits), data_size).log_prob(samps)),\n", " current_state=(loc_prior.sample([nparticles, nmodes + 2]), \n", " logits_prior.sample([nparticles, nmodes + 2])),\n", ")" ], "execution_count": 5, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "DnA_u0ymf4CO", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 173 }, "outputId": "cfaf5145-b21a-483c-bffb-90468c08e944" }, "source": [ "# Identify any issues with particle weight collapse.\n", "plt.figure(figsize=(5,2))\n", "plt.plot(tf.sort(final_kernel_results.particle_info.tempered_log_prob));\n", "plt.title(f'Sampling done in {n_stage} stage');" ], "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "91oPKx4Hf6Mz", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 638 }, "outputId": "f946f4dd-62d0-4a6e-9ce9-535b4e576176" }, "source": [ "sampled_distributions = tfd.MixtureSameFamily(\n", " mixture_distribution=tfd.Categorical(\n", " logits=final_kernel_results.particle_info.tempered_log_prob),\n", " components_distribution=make_mixture(*final_state),\n", " name='ensembled_posterior')\n", "print(sampled_distributions)\n", "Z = sampled_distributions.prob(tf.stack([X, Y], axis=-1))\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(\n", " X, Y, Z, rstride=1, cstride=1, cmap='coolwarm', edgecolor='none')\n", "plt.title('Ensembled posterior probability density')\n", "plt.show()\n", "\n", "samps2 = sampled_distributions.sample(256, seed=(0, 4))\n", "sns.kdeplot(*samps2.numpy().T)\n", "# sns.kdeplot(*samps.numpy().T)\n", "plt.scatter(*samps2.numpy().T, alpha=.5, label='new samples')\n", "plt.scatter(*samps.numpy().T, alpha=.5, label='observed')\n", "plt.legend()\n", "plt.title('samples from ensembled posterior')\n", "plt.show()" ], "execution_count": 7, "outputs": [ { "output_type": "stream", "text": [ "tfp.distributions.MixtureSameFamily(\"ensembled_posterior\", batch_shape=[], event_shape=[2], dtype=float32)\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "97PGGmyACuoW", "colab_type": "text" }, "source": [ "## Spherical distributions: SphericalUniform (new), PowerSpherical (new), VonMisesFisher" ] }, { "cell_type": "code", "metadata": { "id": "bzJMetHkhBHe", "colab_type": "code", "cellView": "form", "colab": {} }, "source": [ "#@title `plot_spherical`\n", "def plot_spherical(dist, nsamples):\n", " samples = dist.sample([nsamples], seed=123)\n", " probs = dist.prob(samples)\n", " samples = samples.numpy()\n", " probs = probs.numpy()\n", " # Show the dynamic range of the sample probabilities by re-scaling with min/max.\n", " minp, maxp = probs.min(), probs.max()\n", " ranged = np.float64(\n", " (probs - minp) / np.where(maxp - minp > 0, (maxp - minp), minp)) * .8 + .2\n", "\n", " data = list(map(list, samples))\n", " colors = map(plt.get_cmap('plasma'), ranged)\n", " colors = list(map(list, colors))\n", "\n", " js = \"\"\"\n", " var scene = new THREE.Scene();\n", " var camera = new THREE.PerspectiveCamera( 75, 1.0, 0.1, 1000 );\n", "\n", " var renderer = new THREE.WebGLRenderer();\n", " renderer.setSize( 500, 500 );\n", " document.body.appendChild( renderer.domElement );\n", "\n", " var sphere_geom = new THREE.SphereBufferGeometry(1, 200, 200);\n", " var sphere_mat = new THREE.MeshBasicMaterial(\n", " {'opacity': 0.25, 'color': 0xFFFFFF, 'transparent': true});\n", " var sphere = new THREE.Mesh(sphere_geom, sphere_mat);\n", " sphere.position.set(0, 0, 0);\n", " scene.add(sphere);\n", "\n", " var points_data = %s;\n", " var points = [];\n", " for (var i = 0; i < points_data.length; i++) {\n", " points.push(new THREE.Vector3(\n", " points_data[i][0], points_data[i][1], points_data[i][2]));\n", " }\n", "\n", " var points_geom = new THREE.Geometry();\n", " points_geom.vertices = points;\n", "\n", " var colors_data = %s;\n", " var colors = [];\n", " for (var i = 0; i < colors_data.length; i++) {\n", " colors.push(new THREE.Color(\n", " colors_data[i][0], colors_data[i][1], colors_data[i][2]));\n", " }\n", " points_geom.colors = colors;\n", " var points_mat = new THREE.PointsMaterial({'size': 0.015});\n", " points_mat.vertexColors = THREE.VertexColors;\n", " var points = new THREE.Points(points_geom, points_mat);\n", " scene.add(points);\n", "\n", " camera.position.x = 0;\n", " camera.position.y = -2;\n", " camera.position.z = 2;\n", " camera.lookAt(new THREE.Vector3(0, 0, 0));\n", "\n", " controls = new THREE.TrackballControls(camera, renderer.domElement);\n", " controls.rotateSpeed = 1.0;\n", " controls.zoomSpeed = 1.2;\n", " controls.panSpeed = 0.8;\n", " controls.noZoom = false;\n", " controls.noPan = false;\n", " controls.staticMoving = false;\n", " controls.dynamicDampingFactor = 0.15;\n", "\n", " /* \n", " Keep the camera pointing the same direction it was before. However, \n", " this does not generally have the same actual target as the original camera\n", " lookAt, only the same direction. So when the user rotates the view it \n", " might not have the expected origin of rotation. \n", " */\n", " look_at = new THREE.Vector3(0, 0, -1);\n", " look_at.applyQuaternion(camera.quaternion).add(camera.position)\n", " controls.target = look_at;\n", "\n", " var LookAt = function(x, y, z) {\n", " camera.lookAt(new THREE.Vector3(x, y, z));\n", " controls.target.set(x, y, z);\n", " };\n", " LookAt(0, 0, 0);\n", "\n", " var animate = function () {\n", " requestAnimationFrame( animate );\n", " controls.update();\n", " renderer.render( scene, camera );\n", " };\n", "\n", " animate();\n", " \"\"\" % (repr(data), repr(colors))\n", "\n", " IPython.display.display_html(\"\"\"\n", " \n", " \n", " \n", " Spin me!\n", " \"\"\" % js, raw=True)" ], "execution_count": 8, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "0e7rBpXZHVq9", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 538 }, "outputId": "deab5618-e595-46a7-c070-6f5a4a40cbec" }, "source": [ "#@title Visualizing `tfd.SphericalUniform` in 3 dimensions { run: \"auto\", vertical-output: true }\n", "nsamples = 2000 #@param {type:\"integer\"}\n", "d = tfd.SphericalUniform(dimension=3)\n", "plot_spherical(d, nsamples)" ], "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "text/html": [ "\n", " \n", " \n", " \n", " Spin me!\n", " " ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "Gn5xK-DZgQuq", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 538 }, "outputId": "c177d853-86bf-4884-c017-9a82f27fc2d6" }, "source": [ "#@title Visualizing `tfd.PowerSpherical` in 3 dimensions { run: \"auto\", vertical-output: true }\n", "concentration = 5.0 #@param {type:\"number\"}\n", "nsamples = 2000 #@param {type:\"integer\"}\n", "d = tfd.PowerSpherical(\n", " mean_direction=tf.nn.l2_normalize(np.float64([1, 1, 1]), axis=-1), \n", " concentration=np.float64(concentration))\n", "plot_spherical(d, nsamples)" ], "execution_count": 10, "outputs": [ { "output_type": "display_data", "data": { "text/html": [ "\n", " \n", " \n", " \n", " Spin me!\n", " " ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "DrDf0YAVD8AC", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 538 }, "outputId": "f18e085f-b114-4048-dd42-e2b042c00454" }, "source": [ "#@title Visualizing `tfd.VonMisesFisher` in 3 dimensions { run: \"auto\", vertical-output: true }\n", "concentration = 5.0 #@param {type:\"number\"}\n", "nsamples = 2000 #@param {type:\"integer\"}\n", "vmf = tfp.distributions.VonMisesFisher(\n", " mean_direction=tf.nn.l2_normalize(np.float64([1, 1, 1]), axis=-1), \n", " concentration=np.float64(concentration))\n", "plot_spherical(vmf, nsamples)" ], "execution_count": 11, "outputs": [ { "output_type": "display_data", "data": { "text/html": [ "\n", " \n", " \n", " \n", " Spin me!\n", " " ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "dN-_JlztE9SH", "colab_type": "text" }, "source": [ "## New Bijectors" ] }, { "cell_type": "code", "metadata": { "id": "uLDfGwOmFATa", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "outputId": "e462ebec-0d94-454c-8e13-79d14f6f2bde" }, "source": [ "#@title `tfb.Sinh`\n", "plt.figure(figsize=(12, 4))\n", "plt.subplot(121)\n", "xs = np.linspace(-7, 7, 100)\n", "plt.plot(xs, tfb.Sinh()(xs), label='sinh(x)')\n", "plt.plot(xs, tf.math.exp(tfb.Sinh().forward_log_det_jacobian(xs, event_ndims=0)), ':', label='sinh derivative');\n", "plt.legend()\n", "plt.title('Sinh bijector')\n", "plt.subplot(122)\n", "xs *= 20\n", "plt.plot(xs, tfb.Sinh()(tfd.Uniform(-7, 7)).cdf(xs))\n", "plt.title('CDF of Sinh-transformed Uniform(-7,7)');" ], "execution_count": 40, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "X_09anOqUqsE", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "outputId": "e1b4e069-1f12-4ae1-cfa4-7fb3139d83ed" }, "source": [ "#@title `tfb.GompertzCDF`\n", "plt.figure(figsize=(12, 4))\n", "plt.subplot(121)\n", "xs = np.linspace(0, 7, 100).astype(np.float32)\n", "b = tfb.GompertzCDF(.5, .5)\n", "plt.plot(xs, b(xs), label='GompertzCDF(.5, .5)(x)')\n", "plt.plot(xs, tf.math.exp(b.forward_log_det_jacobian(xs, event_ndims=0)), ':', label='GompertzCDF derivative');\n", "plt.legend()\n", "plt.title('GompertzCDF bijector')\n", "plt.subplot(122)\n", "d = tfb.Invert(b)(tfd.Uniform(0, 1))\n", "plt.plot(xs, d.cdf(xs), label='cdf(x)')\n", "plt.plot(xs, d.prob(xs), label='p(x)')\n", "plt.legend()\n", "plt.title('pdf/cdf of Gompertz(.5, .5) dist');" ], "execution_count": 37, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "d3HKc7lI3N5M", "colab_type": "text" }, "source": [ "## New distributions" ] }, { "cell_type": "code", "metadata": { "id": "xU2caROk3TMA", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "outputId": "b898f2d1-8fe1-4544-bd00-722d72def7cb" }, "source": [ "#@title `tfd.TruncatedCauchy`\n", "d = tfd.TruncatedCauchy(1, 1, .3, 2.1)\n", "samples = tf.sort(d.sample(2000, seed=(0, 1)))\n", "plt.hist(samples, bins=100, density=True, label='samples')\n", "plt.plot(samples, d.prob(samples), label='p(x)')\n", "plt.title('tfd.TruncatedCauchy')\n", "plt.legend();" ], "execution_count": 13, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "H0o-nCEi38vm", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 369 }, "outputId": "2c567f98-02d8-4145-d351-33c8cfb41d8a" }, "source": [ "#@title `tfd.Bates` (mean of `n` uniform samples)\n", "plt.figure(figsize=(10, 5))\n", "for i, n in enumerate((1, 3, 7, 13)):\n", " plt.subplot(221+i)\n", " d = tfd.Bates(total_count=n)\n", " samples = tf.sort(d.sample(2000, seed=(1, 2)))\n", " plt.hist(samples, bins=100, density=True, label='samples')\n", " plt.plot(samples, d.prob(samples), label='p(x)')\n", " plt.title(f'tfd.Bates | n={n}')\n", " plt.legend()\n", " plt.tight_layout()" ], "execution_count": 14, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "ChFLxqrK42kT", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "outputId": "a3caf7f3-ca52-418e-b23e-a5dbff3ab507" }, "source": [ "#@title `tfd.LogLogistic`\n", "d = tfd.LogLogistic(0, .1)\n", "samples = tf.sort(d.sample(2000, seed=(2, 3)))\n", "plt.hist(samples, bins=100, density=True, log=True, label='samples')\n", "plt.plot(samples, d.prob(samples), label='p(x)')\n", "plt.legend()\n", "plt.title('tfd.LogLogistic(0, .1)');" ], "execution_count": 15, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "OdElYf8V5rsG", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 297 }, "outputId": "8dedcd63-a6e6-4552-cdc5-d8b14cebf7d1" }, "source": [ "#@title `tfd.JohnsonSU`\n", "stats = ('loc', 'scale', 'tailweight', 'skewness')\n", "plt.figure(figsize=(12, 4))\n", "for i, d in enumerate([\n", " tfd.JohnsonSU(skewness=3, tailweight=2, loc=0, scale=1),\n", " tfd.JohnsonSU(skewness=-3, tailweight=2, loc=0, scale=1)]):\n", " plt.subplot(121+i)\n", " samples = tf.sort(d.sample(2000, seed=(2, 4)))\n", " plt.hist(samples, bins=100, density=True, label='samples')\n", " plt.plot(samples, d.prob(samples), label='p(x)')\n", " plt.legend()\n", " plt.title(f'tfd.JohnsonSU { {k: v for (k, v) in d.parameters.items() if k in stats} }')\n", " plt.tight_layout();" ], "execution_count": 16, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "cjXyCRXQ7WT6", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "outputId": "212f9c99-27de-4126-cde7-09801c7f70d5" }, "source": [ "#@title `tfd.ContinuousBernoulli`\n", "d = tfd.ContinuousBernoulli(logits=tfb.Sigmoid().inverse(.1))\n", "samples = tf.sort(d.sample(2000, seed=(2, 3)))\n", "plt.hist(samples, bins=100, density=True, label='samples')\n", "plt.plot(samples, d.prob(samples), label='p(x)')\n", "plt.legend()\n", "plt.title('tfd.ContinuousBernoulli(logits=tfb.Sigmoid().inverse(.1))');" ], "execution_count": 17, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "Tx3XuyRk8Oaa", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "outputId": "f0dd72f6-8817-4720-f2ef-7940606c2013" }, "source": [ "#@title `tfd.Weibull`\n", "d = tfd.Weibull(concentration=1.4, scale=.75)\n", "samples = tf.sort(d.sample(2000, seed=(2, 3)))\n", "plt.hist(samples, bins=100, density=True, label='samples')\n", "plt.plot(samples, d.prob(samples), label='p(x)')\n", "plt.legend()\n", "plt.title('tfd.Weibull(concentration=1.4, scale=.75)');" ], "execution_count": 18, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "B1V0yE8p8phS", "colab_type": "text" }, "source": [ "## Auto-vectorized sampling with `JointDistribution*AutoBatched`\n", "If you've ever struggled getting batch dimensions to line up correctly in your joint distributions, this is for you." ] }, { "cell_type": "markdown", "metadata": { "id": "DunGZWAVBUxz", "colab_type": "text" }, "source": [ "### Ever written code like this?" ] }, { "cell_type": "code", "metadata": { "id": "rfFJRNuI8tif", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 85 }, "outputId": "9b66bc98-2f59-4556-e299-b34c67e5d72c" }, "source": [ "data = tf.random.stateless_normal([7], seed=(1,2))\n", "\n", "@tfd.JointDistributionCoroutine\n", "def model():\n", " root = tfd.JointDistributionCoroutine.Root\n", " scale = yield root(tfd.Gamma(1, 1, name='scale'))\n", " yield tfd.Normal(tf.zeros_like(data), scale)\n", "\n", "model.sample()" ], "execution_count": 19, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "(,\n", " )" ] }, "metadata": { "tags": [] }, "execution_count": 19 } ] }, { "cell_type": "markdown", "metadata": { "id": "B1Zl8RTcBXMf", "colab_type": "text" }, "source": [ "### Then hit exceptions drawing non-scalar samples?" ] }, { "cell_type": "code", "metadata": { "id": "_mcn-mMm9WqZ", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 836 }, "outputId": "b47bbdba-915a-4c0c-9759-32a22976b1f6" }, "source": [ "print(model.sample(1), '\\n (^^ silent badness: the second value lacks a leading (1,) shape)')\n", "print('sampling (3,) will break:')\n", "import traceback\n", "try:\n", " model.sample(3)\n", "except ValueError as e:\n", " traceback.print_exc()" ], "execution_count": 28, "outputs": [ { "output_type": "stream", "text": [ "(, ) \n", " (^^ silent badness: the second value lacks a leading (1,) shape)\n", "sampling (3,) will break:\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "Traceback (most recent call last):\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/normal.py\", line 243, in _parameter_control_dependencies\n", " self._batch_shape()\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/normal.py\", line 176, in _batch_shape\n", " return tf.broadcast_static_shape(self.loc.shape, self.scale.shape)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow/python/util/dispatch.py\", line 201, in wrapper\n", " return target(*args, **kwargs)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow/python/ops/array_ops.py\", line 554, in broadcast_static_shape\n", " return common_shapes.broadcast_shape(shape_x, shape_y)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow/python/framework/common_shapes.py\", line 107, in broadcast_shape\n", " % (shape_x, shape_y))\n", "ValueError: Incompatible shapes for broadcasting: (7,) and (3,)\n", "\n", "During handling of the above exception, another exception occurred:\n", "\n", "Traceback (most recent call last):\n", " File \"\", line 4, in \n", " model.sample(3)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/distribution.py\", line 939, in sample\n", " return self._call_sample_n(sample_shape, seed, name, **kwargs)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/joint_distribution.py\", line 532, in _call_sample_n\n", " **kwargs)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/internal/distribution_util.py\", line 1324, in _fn\n", " return fn(*args, **kwargs)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/joint_distribution.py\", line 414, in _sample_n\n", " **kwargs)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/joint_distribution.py\", line 451, in _call_flat_sample_distributions\n", " ds, xs = self._flat_sample_distributions(sample_shape, seed, value)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/joint_distribution_coroutine.py\", line 278, in _flat_sample_distributions\n", " d = gen.send(next_value)\n", " File \"\", line 7, in model\n", " yield tfd.Normal(tf.zeros_like(data), scale)\n", " File \"\", line 2, in __init__\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/distribution.py\", line 334, in wrapped_init\n", " default_init(self_, *args, **kwargs)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/normal.py\", line 148, in __init__\n", " name=name)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/distribution.py\", line 552, in __init__\n", " d for d in self._parameter_control_dependencies(is_init=True)\n", " File \"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/distributions/normal.py\", line 248, in _parameter_control_dependencies\n", " self.loc.shape, self.scale.shape))\n", "ValueError: Arguments `loc` and `scale` must have compatible shapes; loc.shape=(7,), scale.shape=(3,).\n" ], "name": "stderr" } ] }, { "cell_type": "markdown", "metadata": { "id": "dukCYkFgBb9D", "colab_type": "text" }, "source": [ "### Now, you can use `tfd.JointDistributionCoroutineAutoBatched` & friends\n", "You write a \"scalar\" sampling routine, then draw arbitrary sample shapes." ] }, { "cell_type": "code", "metadata": { "id": "M7GnPRRx9m1q", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 445 }, "outputId": "a70eeaf3-b759-4aff-aac0-6fbbc899b821" }, "source": [ "@tfd.JointDistributionCoroutineAutoBatched\n", "def model_auto():\n", " scale = yield tfd.Gamma(1, 1, name='scale')\n", " yield tfd.Normal(tf.zeros_like(data), scale)\n", "\n", "print(model_auto.sample(), '\\n (scalar sample)')\n", "print(model_auto.sample(1), '\\n ((1,) sample)')\n", "print(model_auto.sample(3), '\\n ((3,) sample)')" ], "execution_count": 21, "outputs": [ { "output_type": "stream", "text": [ "(, ) \n", " (scalar sample)\n", "WARNING:tensorflow:Note that RandomUniformInt inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "WARNING:tensorflow:Note that RandomUniformInt inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stderr" }, { "output_type": "stream", "text": [ "WARNING:tensorflow:Note that RandomStandardNormal inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "WARNING:tensorflow:Note that RandomStandardNormal inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stderr" }, { "output_type": "stream", "text": [ "(, ) \n", " ((1,) sample)\n", "WARNING:tensorflow:Note that RandomUniformInt inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "WARNING:tensorflow:Note that RandomUniformInt inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stderr" }, { "output_type": "stream", "text": [ "WARNING:tensorflow:Note that RandomStandardNormal inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "WARNING:tensorflow:Note that RandomStandardNormal inside pfor op may not give same output as inside a sequential loop.\n" ], "name": "stderr" }, { "output_type": "stream", "text": [ "(, ) \n", " ((3,) sample)\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "jq7obkAragZZ", "colab_type": "text" }, "source": [ "## Reproducible sampling, even in eager" ] }, { "cell_type": "code", "metadata": { "id": "q64n0w4bajtz", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 153 }, "outputId": "5bf4f77e-ac1f-45eb-ad95-b5139184e549" }, "source": [ "tf.random.set_seed(123)\n", "print('Stateful sampling:\\t\\t', \n", " tfd.Normal(0, 1).sample(seed=234),\n", " 'then', \n", " tfd.Normal(0, 1).sample(seed=234)) \n", "\n", "# Why are they different?\n", "# TF samplers are stateful by default (TF maintains is a global PRNG).\n", "# How to get reproducible results in eager mode?\n", "tf.random.set_seed(123)\n", "print('Stateful sampling (set_seed):\\t',\n", " tfd.Normal(0, 1).sample(seed=234))\n", "\n", "# And what about tf.function?\n", "@tf.function\n", "def sample_normal():\n", " return tfd.Normal(0, 1).sample(seed=234)\n", "tf.random.set_seed(123)\n", "print('tf.function:\\t\\t', sample_normal(), 'vs', sample_normal())\n", "tf.random.set_seed(123)\n", "print('tf.function (set_seed):\\t', sample_normal())\n", "\n", "# Using a Tensor seed (or a tuple, which TFP will convert to a tensor) induces\n", "# TFP behavior analagous to the tf.random.stateless_* ops. This sampling \n", "# is fully deterministic.\n", "print('Stateless sampling (tuple):\\t\\t',\n", " tfd.Normal(0, 1).sample(seed=(1, 23)))\n", "print('Stateless sampling (tensor):\\t\\t',\n", " tfd.Normal(0, 1).sample(seed=tf.constant([1, 23], dtype=tf.int32)))\n", "# Even in tf.function\n", "@tf.function\n", "def sample_normal():\n", " return tfd.Normal(0, 1).sample(seed=(1, 23))\n", "print('Stateless sampling (tf.function):\\t', sample_normal())\n", "\n", "# And independent of global seeds.\n", "tf.random.set_seed(321)\n", "print('Stateless sampling (ignores set_seed):\\t', sample_normal())" ], "execution_count": 22, "outputs": [ { "output_type": "stream", "text": [ "Stateful sampling:\t\t tf.Tensor(0.54054874, shape=(), dtype=float32) then tf.Tensor(-1.5518123, shape=(), dtype=float32)\n", "Stateful sampling (set_seed):\t tf.Tensor(0.54054874, shape=(), dtype=float32)\n", "tf.function:\t\t tf.Tensor(0.54054874, shape=(), dtype=float32) vs tf.Tensor(-1.5518123, shape=(), dtype=float32)\n", "tf.function (set_seed):\t tf.Tensor(0.54054874, shape=(), dtype=float32)\n", "Stateless sampling (tuple):\t\t tf.Tensor(-0.36107817, shape=(), dtype=float32)\n", "Stateless sampling (tensor):\t\t tf.Tensor(-0.36107817, shape=(), dtype=float32)\n", "Stateless sampling (tf.function):\t tf.Tensor(-0.36107817, shape=(), dtype=float32)\n", "Stateless sampling (ignores set_seed):\t tf.Tensor(-0.36107817, shape=(), dtype=float32)\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "Z-ut4KYl_L53", "colab_type": "text" }, "source": [ "### Similarly, `tfp.mcmc.sample_chain` now accepts stateless seeds\n", "This is passed to underlying kernels, which must be updated to accept a `seed` argument to `one_step` if they make random proposals. (Built-in kernels are already updated.)" ] }, { "cell_type": "code", "metadata": { "id": "A8nTdX8R_RhR", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 646 }, "outputId": "6aab3095-8345-4f29-eff0-6bdee83fa55f" }, "source": [ "kernel = tfp.mcmc.HamiltonianMonteCarlo(lambda x: -(x - .2)**2,\n", " step_size=1.,\n", " num_leapfrog_steps=2)\n", "print_n_lines = lambda x, n: print('\\n'.join(repr(x).split('\\n')[:n] + ['...']))\n", "print_n_lines(\n", " tfp.mcmc.sample_chain(\n", " num_results=5,\n", " num_burnin_steps=100,\n", " current_state=tf.zeros([3]),\n", " kernel=kernel,\n", " trace_fn=lambda state, kr: kr,\n", " seed=(1, 2)),\n", " 17)\n", "print('And again (reproducibly)...')\n", "print_n_lines(\n", " tfp.mcmc.sample_chain(\n", " num_results=5,\n", " num_burnin_steps=100,\n", " current_state=tf.zeros([3]),\n", " kernel=kernel,\n", " trace_fn=lambda state, kr: kr,\n", " seed=(1, 2)),\n", " 17)" ], "execution_count": 23, "outputs": [ { "output_type": "stream", "text": [ "StatesAndTrace(\n", " all_states=,\n", " trace=MetropolisHastingsKernelResults(\n", " accepted_results=UncalibratedHamiltonianMonteCarloKernelResults(\n", " log_acceptance_correction=,\n", " target_log_prob=,\n", " trace=MetropolisHastingsKernelResults(\n", " accepted_results=UncalibratedHamiltonianMonteCarloKernelResults(\n", " log_acceptance_correction=,\n", " target_log_prob=,\n", " target_log_prob=,\n", " seed=[]\n", " ),\n", " is_accepted=,\n", " log_accept_ratio=,\n", " proposed_state=1.0,\n", " proposed_results=UncalibratedRandomWalkResults(\n", " log_acceptance_correction=,\n", " target_log_prob=,\n", " seed=\n", " ),\n", " extra=[],\n", " seed=\n", ")" ] }, "metadata": { "tags": [] }, "execution_count": 3 } ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "aaDlMlMQcqR8" }, "source": [ "## CompositeTensor (experimental)\n", "Save on tracing a `tf.function`. Return distributions from a `tf.function`." ] }, { "cell_type": "code", "metadata": { "colab_type": "code", "id": "gqFL0Vd7cqR_", "colab": { "base_uri": "https://localhost:8080/", "height": 51 }, "outputId": "1fa77de1-d6d5-4980-b28d-e4e1491f7ec8" }, "source": [ "@tf.function\n", "def get_mean(d):\n", " return d.mean()\n", "\n", "print(get_mean(tfp.experimental.as_composite(tfd.BetaBinomial(100., 2., 7.))))\n", "\n", "@tf.function\n", "def returns_dist(logits):\n", " return tfp.experimental.as_composite(tfd.Binomial(10., logits=logits))\n", "\n", "print(returns_dist(tf.constant(0.)),\n", " returns_dist(tf.constant(0.)).sample(seed=(2, 3)))" ], "execution_count": 24, "outputs": [ { "output_type": "stream", "text": [ "tf.Tensor(22.222221, shape=(), dtype=float32)\n", "tfp.distributions.BinomialCT(\"Binomial\", batch_shape=[], event_shape=[], dtype=float32) tf.Tensor(5.0, shape=(), dtype=float32)\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "56YnTJmgZAIG", "colab_type": "text" }, "source": [ "## Did you know: Batch slicing distributions" ] }, { "cell_type": "code", "metadata": { "id": "N_LgEvsCVjEN", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 238 }, "outputId": "e487d862-35e0-44fa-d6e0-1d7581217e3f" }, "source": [ "def demo_batch_slice():\n", " d = tfd.Normal(\n", " loc=tf.random.stateless_normal([100, 20, 3], seed=(1,2)),\n", " scale=1.)\n", " print(d, '\\n (original dist)')\n", " print(d[0], '\\n (0th element of the first batch dimension)')\n", " print(d[::2, ..., 1], '\\n (every other element of first dim x middle element of final dim)\\n')\n", "\n", " d = tfd.Dirichlet(\n", " concentration=tf.random.stateless_uniform([100, 20, 3, 7], seed=(1,2)))\n", " print(d, '\\n (original dist)')\n", " print(d[:, 0], '\\n (0th element of the second dimension)')\n", " print(d[::2, ..., 1], '\\n (every other element of first dim x middle element of final dim)')\n", "demo_batch_slice()" ], "execution_count": 25, "outputs": [ { "output_type": "stream", "text": [ "tfp.distributions.Normal(\"Normal\", batch_shape=[100, 20, 3], event_shape=[], dtype=float32) \n", " (original dist)\n", "tfp.distributions.Normal(\"Normal\", batch_shape=[20, 3], event_shape=[], dtype=float32) \n", " (0th element of the first batch dimension)\n", "tfp.distributions.Normal(\"Normal\", batch_shape=[50, 20], event_shape=[], dtype=float32) \n", " (every other element of first dim x middle element of final dim)\n", "\n", "tfp.distributions.Dirichlet(\"Dirichlet\", batch_shape=[100, 20, 3], event_shape=[7], dtype=float32) \n", " (original dist)\n", "tfp.distributions.Dirichlet(\"Dirichlet\", batch_shape=[100, 3], event_shape=[7], dtype=float32) \n", " (0th element of the second dimension)\n", "tfp.distributions.Dirichlet(\"Dirichlet\", batch_shape=[50, 20], event_shape=[7], dtype=float32) \n", " (every other element of first dim x middle element of final dim)\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "8Wn-FYo4_Ocm", "colab_type": "text" }, "source": [ "## Random novelties: Sampling a sigmoidal Cox (nonhomogenous Poisson) process\n", "We can use the thinning procedure proposed in [Adams et al.](https://icml.cc/Conferences/2009/papers/255.pdf)\n", "\n", "Note that a similar thinning approach is relevant to some approaches to nonreversible MCMC (e.g. zig-zag and bouncy particle samplers), where an upper bound on intensity can be used to sample nonhomogenous events." ] }, { "cell_type": "code", "metadata": { "id": "joNOzm68_ZzO", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 607 }, "outputId": "151a859e-31f0-40b0-ae35-9d3a6fd15444" }, "source": [ "def sigmoidal_cox_process():\n", " V = 20.\n", " lam0 = 3.\n", " n_homog = tfd.Poisson(V * lam0).sample(seed=(0, 1))\n", " homog_locs = tf.sort(tfd.Uniform(0., V).sample(n_homog, seed=(0, 2)))\n", " homog_intensities = tfd.GaussianProcess(\n", " tfpk.MaternThreeHalves(), \n", " index_points=homog_locs[:, tf.newaxis]).sample(seed=(0, 3))\n", "\n", " plt.figure(figsize=(15,10))\n", " plt.title('sampling a non-homogenous poisson process')\n", " plt.hlines(lam0, xmin=0., xmax=V)\n", "\n", " sigm_int = tf.math.sigmoid(homog_intensities) * lam0\n", "\n", " sp = scipy.interpolate.make_interp_spline(homog_locs, sigm_int)\n", " xs = np.linspace(homog_locs[0], homog_locs[-1], 100)\n", " ys = scipy.interpolate.splev(xs, sp)\n", " plt.plot(xs, ys)\n", "\n", " plt.scatter(homog_locs, sigm_int, s=5., c='black')\n", "\n", " unif = tfd.Uniform(0, lam0).sample(n_homog)\n", " plt.scatter(homog_locs, tf.where(unif < sigm_int, np.nan, unif), c='r', marker='x')\n", " plt.scatter(homog_locs, tf.where(unif > sigm_int, np.nan, unif), c='g', marker='x')\n", "\n", " plt.vlines(homog_locs, 0, -.07, colors='gray', )\n", " plt.text(.8, -.06, 'homogenous', dict(fontsize='medium'), horizontalalignment='right')\n", "\n", " nonhomog_locs = tf.gather(homog_locs, tf.where(unif < sigm_int))\n", " plt.vlines(nonhomog_locs, -.1, -.17, colors='black')\n", " plt.text(.8, -.16, 'thinned', dict(fontsize='medium'), horizontalalignment='right')\n", " plt.show()\n", "\n", "sigmoidal_cox_process()" ], "execution_count": 26, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "qZOZhyismEW2", "colab_type": "text" }, "source": [ "## Did you know: Batches of GPs\n", "Gaussian Processes are distributions over functions. Here, we will parameterize by a kernel and a set of index points and showcase some of the batching behavior.\n", "\n", "(TFP also supports a GP regression model, where the observations at observed index points determine the posterior distribution over functions on a set of index points, see [`tfd.GaussianProcessRegressionModel`](https://www.tensorflow.org/probability/api_docs/python/tfp/distributions/GaussianProcessRegressionModel).)" ] }, { "cell_type": "code", "metadata": { "id": "4A-fthDGmF6E", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "outputId": "d3330624-bb0c-4d4e-d062-a315ab86bdf8" }, "source": [ "from mpl_toolkits import mplot3d\n", "x = np.linspace(-6, 6, 9)\n", "y = np.linspace(-6, 6, 9)\n", "\n", "X, Y = np.asarray(np.meshgrid(x, y), dtype=np.float32)\n", "\n", "print('We can set up a single GP over many examples of 2d feature')\n", "gp = tfd.GaussianProcess(\n", " tfpk.ExponentiatedQuadratic(length_scale=3., feature_ndims=1),\n", " index_points=tf.reshape(tf.stack([X, Y], axis=-1), (-1, 2)),\n", " jitter=1e-3)\n", "print(gp)\n", "Z = tf.reshape(gp.sample(seed=(0,3)), X.shape)\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(\n", " X, Y, Z, rstride=1, cstride=1, cmap='coolwarm', edgecolor='none');\n", "ax.set_xlabel('x');ax.set_ylabel('y');\n", "ax.set_title('81 x 2 index points (single GP over all pts)')\n", "plt.show()\n", "\n", "print('We can have a batch of independent GPs with their own sets of index points.')\n", "batch_gp = tfd.GaussianProcess(\n", " tfpk.ExponentiatedQuadratic(length_scale=3., feature_ndims=1),\n", " index_points=tf.stack([X, Y], axis=-1),\n", " jitter=1e-3)\n", "print(batch_gp)\n", "Z_batch = batch_gp.sample(seed=(5,7))\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(\n", " X, Y, Z_batch, rstride=1, cstride=1, cmap='coolwarm', edgecolor='none');\n", "ax.set_xlabel('x');ax.set_ylabel('y');\n", "ax.set_title('9 x 9 x 2 index points (9 indep GPs, one at each y position)');\n", "plt.show()\n", "\n", "print('We can also have a corresponding batch of kernels.')\n", "kernel = tfpk.ExponentiatedQuadratic(length_scale=3.,\n", " amplitude=tf.linspace(1., 20., 9),\n", " feature_ndims=1)\n", "print(kernel)\n", "batch_gp_kernel = tfd.GaussianProcess(\n", " kernel,\n", " index_points=tf.stack([X, Y], axis=-1),\n", " jitter=1e-3)\n", "print(batch_gp_kernel)\n", "Z_batch_kernel = batch_gp_kernel.sample(seed=(5,7))\n", "\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(\n", " X, Y, Z_batch_kernel, rstride=1, cstride=1, cmap='coolwarm', edgecolor='none');\n", "ax.set_xlabel('x');ax.set_ylabel('y');\n", "ax.set_title('9 x 9 x 2 index points, batch of kernels across y dim');\n" ], "execution_count": 27, "outputs": [ { "output_type": "stream", "text": [ "We can set up a single GP over many examples of 2d feature\n", "tfp.distributions.GaussianProcess(\"GaussianProcess\", batch_shape=[], event_shape=[81], dtype=float32)\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } }, { "output_type": "stream", "text": [ "We can have a batch of independent GPs with their own sets of index points.\n", "tfp.distributions.GaussianProcess(\"GaussianProcess\", batch_shape=[9], event_shape=[9], dtype=float32)\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } }, { "output_type": "stream", "text": [ "We can also have a corresponding batch of kernels.\n", "tfp.math.psd_kernels.ExponentiatedQuadratic(\"ExponentiatedQuadratic\", batch_shape=(9,), feature_ndims=1, dtype=float32)\n", "tfp.distributions.GaussianProcess(\"GaussianProcess\", batch_shape=[9], event_shape=[9], dtype=float32)\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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\n", 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