{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hyperparameter Fitting (Empirical Bayes) Animated" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib as mpl; mpl.use('pgf')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/tensorflow_core/python/compat/v2_compat.py:88: disable_resource_variables (from tensorflow.python.ops.variable_scope) is deprecated and will be removed in a future version.\n", "Instructions for updating:\n", "non-resource variables are not supported in the long term\n" ] } ], "source": [ "import numpy as np\n", "\n", "import tensorflow.compat.v1 as tf\n", "tf.disable_v2_behavior()\n", "\n", "import tensorflow_probability as tfp\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "\n", "from collections import defaultdict\n", "\n", "from matplotlib import animation\n", "from IPython.display import HTML\n", "from etudes.gaussian_processes import gp_sample_custom, dataframe_from_gp_samples" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "golden_ratio = 0.5 * (1 + np.sqrt(5))\n", "golden_size = lambda width: (width, width / golden_ratio)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "width = 10\n", "\n", "rc = {\n", " \"figure.figsize\": golden_size(width),\n", " \"text.usetex\": True,\n", "}\n", "\n", "sns.set(context=\"notebook\", style=\"ticks\", palette=\"colorblind\", font=\"serif\", rc=rc)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# shortcuts\n", "tfd = tfp.distributions\n", "kernels = tfp.math.psd_kernels\n", "\n", "# constants\n", "n_features = 1 # dimensionality\n", "n_index_points = 256 # nbr of index points\n", "n_samples = 8 # nbr of GP prior samples\n", "jitter = 1e-6\n", "kernel_cls = kernels.ExponentiatedQuadratic\n", "\n", "num_epochs = 250\n", "\n", "seed = 42 # set random seed for reproducibility\n", "random_state = np.random.RandomState(seed)\n", "\n", "# index points\n", "X_q = np.linspace(-1.0, 1.0, n_index_points).reshape(-1, n_features)\n", "\n", "# kernel specification\n", "amplitude_grid, length_scale_grid = np.ogrid[5e-2:4.0:100j, 1e-5:5e-1:100j]\n", "kernel_grid = kernel_cls(amplitude=amplitude_grid, length_scale=length_scale_grid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Synthetic dataset" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_train = 20 # nbr training points in synthetic dataset\n", "observation_noise_variance = 1e-1\n", "\n", "f = lambda x: np.sin(12.0*x) + 0.66*np.cos(25.0*x)\n", "\n", "X = random_state.rand(n_train, n_features) - 0.5\n", "eps = observation_noise_variance * random_state.randn(n_train, n_features)\n", "Y = np.squeeze(f(X) + eps)\n", "\n", "fig, ax = plt.subplots()\n", "\n", "ax.plot(X_q, f(X_q), label=\"true\")\n", "ax.scatter(X, Y, marker='x', color='k', label=\"noisy observations\")\n", "\n", "ax.legend()\n", "\n", "ax.set_xlim(-0.5, 0.5)\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Log marginal likelihood" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/tensorflow_core/python/ops/linalg/linear_operator_lower_triangular.py:158: calling LinearOperator.__init__ (from tensorflow.python.ops.linalg.linear_operator) with graph_parents is deprecated and will be removed in a future version.\n", "Instructions for updating:\n", "Do not pass `graph_parents`. They will no longer be used.\n" ] } ], "source": [ "gp_grid = tfd.GaussianProcess(\n", " kernel=kernel_grid,\n", " index_points=X,\n", " observation_noise_variance=observation_noise_variance\n", ")\n", "nll_grid = - gp_grid.log_prob(Y)\n", "\n", "with tf.Session() as sess:\n", " nll_grid_value = sess.run(nll_grid)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_amplitude_grid, _length_scale_grid = np.broadcast_arrays(amplitude_grid, length_scale_grid)\n", "\n", "fig, ax = plt.subplots()\n", "\n", "contours = ax.contour(_amplitude_grid, _length_scale_grid, nll_grid_value, cmap=\"Spectral_r\")\n", "\n", "fig.colorbar(contours, ax=ax)\n", "ax.clabel(contours, fmt='%.1f')\n", "\n", "ax.set_xlabel(r\"amplitude $\\sigma$\")\n", "ax.set_ylabel(r\"lengthscale $\\ell$\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Empirical Bayes (maximizing the log marginal likelihood)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "amplitude = tf.exp(tf.Variable(np.float64(0)), name='amplitude')\n", "length_scale = tf.exp(tf.Variable(np.float64(-1)), name='length_scale')\n", "observation_noise_variance = tf.exp(tf.Variable(np.float64(-5)), name='observation_noise_variance')\n", "kernel = kernel_cls(amplitude=amplitude, length_scale=length_scale)\n", "gp = tfd.GaussianProcess(\n", " kernel=kernel,\n", " index_points=X,\n", " observation_noise_variance=observation_noise_variance\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nll = - gp.log_prob(Y)\n", "nll" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "optimizer = tf.train.AdamOptimizer(learning_rate=.05, beta1=.5, beta2=.99)\n", "optimize = optimizer.minimize(nll)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "history = defaultdict(list)\n", "\n", "with tf.Session() as sess:\n", "\n", " sess.run(tf.global_variables_initializer())\n", "\n", " for i in range(num_epochs):\n", " (_, nll_value, amplitude_value, length_scale_value, \n", " observation_noise_variance_value) = sess.run([optimize, nll, amplitude, length_scale, observation_noise_variance])\n", " history[\"nll\"].append(nll_value)\n", " history[\"amplitude\"].append(amplitude_value)\n", " history[\"length_scale\"].append(length_scale_value)\n", " history[\"observation_noise_variance\"].append(observation_noise_variance_value)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "contours = ax.contour(_amplitude_grid, _length_scale_grid, nll_grid_value, cmap=\"Spectral_r\")\n", "\n", "sns.lineplot(x='amplitude', y='length_scale', \n", " sort=False, data=pd.DataFrame(history), alpha=0.8, ax=ax)\n", "\n", "fig.colorbar(contours, ax=ax)\n", "ax.clabel(contours, fmt='%.1f')\n", "\n", "ax.set_xlabel(r\"amplitude $\\sigma$\")\n", "ax.set_ylabel(r\"lengthscale $\\ell$\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## GP posterior predictive animated " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "kernel_history = kernel_cls(amplitude=history.get(\"amplitude\"), length_scale=history.get(\"length_scale\"))\n", "gprm_history = tfd.GaussianProcessRegressionModel(\n", " kernel=kernel_history, index_points=X_q, observation_index_points=X, observations=Y,\n", " observation_noise_variance=history.get(\"observation_noise_variance\"), jitter=jitter\n", ")\n", "gprm_mean = gprm_history.mean()\n", "gprm_stddev = gprm_history.stddev()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "with tf.Session() as sess:\n", " gprm_mean_value, gprm_stddev_value = sess.run([gprm_mean, gprm_stddev])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(14, 5))\n", "\n", "line_mean, = ax1.plot(X_q, gprm_mean_value[0], c=\"steelblue\")\n", "line_stddev_lower, = ax1.plot(X_q, gprm_mean_value[0] - 3*gprm_stddev_value[0], \n", " c=\"steelblue\", alpha=0.4)\n", "line_stddev_upper, = ax1.plot(X_q, gprm_mean_value[0] + 3*gprm_stddev_value[0], \n", " c=\"steelblue\", alpha=0.4)\n", "\n", "ax1.scatter(X, Y, marker='x', color='k', label=\"noisy observations\")\n", "\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$y$')\n", "ax1.set_ylim(-3, 3)\n", "\n", "_amplitude_grid, _length_scale_grid = np.broadcast_arrays(amplitude_grid, length_scale_grid)\n", "contours = ax2.contour(_amplitude_grid, _length_scale_grid, nll_grid_value, cmap=\"Spectral_r\")\n", "\n", "path, = ax2.plot([], [], c='k')\n", "point, = ax2.plot([], [], 'ko')\n", "\n", "text = ax2.annotate('angle,\\nround4',\n", " xy=(0.95, 0.95), xycoords='axes fraction',\n", " ha=\"right\", va=\"top\",\n", " bbox=dict(boxstyle=\"round\", fc=\"1.0\"))\n", "\n", "fig.colorbar(contours, ax=ax2)\n", "ax2.clabel(contours, fmt='%.1f')\n", "\n", "ax2.set_xlabel(r\"amplitude $\\sigma$\")\n", "ax2.set_ylabel(r\"lengthscale $\\ell$\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def animate(i):\n", "\n", " line_mean.set_data(X_q, gprm_mean_value[i])\n", " line_stddev_lower.set_data(X_q, gprm_mean_value[i] - 3*gprm_stddev_value[i])\n", " line_stddev_upper.set_data(X_q, gprm_mean_value[i] + 3*gprm_stddev_value[i])\n", "\n", " path.set_data(history[\"amplitude\"][:i], history[\"length_scale\"][:i])\n", " point.set_data(history[\"amplitude\"][i], history[\"length_scale\"][i])\n", "\n", " text.set_text(\"epoch: {i:3d}\\nnll: {nll:.2f}\".format(i=i, nll=history[\"nll\"][i]))\n", "\n", " return line_mean, line_stddev_lower, line_stddev_upper, path, point, text" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "anim = animation.FuncAnimation(fig, animate, frames=num_epochs,\n", " interval=60, repeat_delay=5, blit=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML(anim.to_html5_video())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## GP prior samples animated " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "gp_history = tfd.GaussianProcess(kernel=kernel_history, index_points=X_q, jitter=jitter)\n", "gp_history_samples = gp_sample_custom(gp_history, n_samples, seed=seed)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "with tf.Session() as sess:\n", " gp_history_samples_value = sess.run(gp_history_samples)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "lines = ax.plot(X_q, gp_history_samples_value[::, -1].T)\n", "\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$')\n", "ax.set_ylim(-3, 3)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def animate(i):\n", " for j, line in enumerate(lines):\n", " line.set_data(X_q, gp_history_samples_value[j, i])\n", " return lines" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "anim = animation.FuncAnimation(fig, animate, frames=num_epochs, \n", " interval=60, repeat_delay=5, blit=True)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML(anim.to_html5_video())" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 2 }