{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Stochastic gradient Langevin dynamics" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import blackjax\n", "import flax.linen as nn\n", "import jax\n", "import jax.numpy as jnp\n", "import jax.random as jr\n", "import jax.scipy.stats as stats\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from jax.flatten_util import ravel_pytree\n", "from matplotlib.gridspec import GridSpec\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "from pbnn.mcmc.langevin import sgld\n", "from pbnn.utils.plot import plot_on_axis\n", "\n", "%load_ext watermark" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate data" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def test_function(x):\n", " return np.sin(2.0 * x) + np.cos(x)\n", "\n", "\n", "n = 100\n", "noise_level = 0.1\n", "\n", "np.random.seed(0)\n", "X = 20 * np.random.rand(n, 1)\n", "X_test = np.linspace(0, 20, 200)[:, None]\n", "\n", "noise, noise_test = (\n", " np.random.randn(n, 1) * noise_level,\n", " np.random.randn(len(X_test), 1) * noise_level,\n", ")\n", "\n", "y = test_function(X) + noise\n", "y_test = test_function(X_test) + noise_test\n", "\n", "scaler = StandardScaler()\n", "X_ = scaler.fit_transform(X)\n", "X_test_ = scaler.transform(X_test)\n", "\n", "X_, y = jnp.array(X_), jnp.array(y)\n", "X_test_, y_test = jnp.array(X_test_), jnp.array(y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define the network, loglikelihood and logprior " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# define loglikelihood et logprior\n", "class MLP(nn.Module):\n", " \"\"\"Simple MLP.\"\"\"\n", "\n", " hidden_features: int\n", " out_features: int\n", "\n", " @nn.compact\n", " def __call__(self, x):\n", " x = nn.Dense(\n", " features=self.hidden_features,\n", " kernel_init=nn.initializers.normal(),\n", " bias_init=nn.initializers.normal(),\n", " )(x)\n", " x = nn.tanh(x)\n", " x = nn.Dense(\n", " features=self.hidden_features,\n", " kernel_init=nn.initializers.normal(),\n", " bias_init=nn.initializers.normal(),\n", " )(x)\n", " x = nn.tanh(x)\n", " x = nn.Dense(\n", " features=self.out_features,\n", " kernel_init=nn.initializers.normal(),\n", " bias_init=nn.initializers.normal(),\n", " )(x)\n", " return x\n", "\n", "\n", "network = MLP(hidden_features=50, out_features=1)\n", "\n", "\n", "def loglikelihood_fn(parameters, data, sig_noise: float = noise_level):\n", " \"\"\"Gaussian log-likelihood\"\"\"\n", " X, y = data\n", " return -jnp.sum(\n", " 0.5 * (y - network.apply({\"params\": parameters}, X)) ** 2 / sig_noise**2\n", " )\n", "\n", "\n", "def logprior_fn(parameters):\n", " \"\"\"Compute the value of the log-prior density function.\"\"\"\n", " flat_params, _ = ravel_pytree(parameters)\n", " return jnp.sum(stats.norm.logpdf(flat_params))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run the SGLD algorithm" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# set some hyperparameters\n", "step_size = 1e-5\n", "num_iterations = 100_000\n", "burnin = 80_000\n", "batch_size = 32\n", "\n", "# generate initial positions\n", "rng_key = jr.PRNGKey(0)\n", "keys = jr.split(rng_key)\n", "\n", "init_positions = network.init(keys[0], X_)[\"params\"]\n", "\n", "# run SGLD\n", "positions, ravel_fn, predict_fn = sgld(\n", " X=X_,\n", " y=y,\n", " loglikelihood_fn=loglikelihood_fn,\n", " logprior_fn=logprior_fn,\n", " init_positions=init_positions,\n", " batch_size=batch_size,\n", " step_size=step_size,\n", " num_iterations=num_iterations,\n", " rng_key=keys[1],\n", ")\n", "\n", "# remove burnin and thin manually\n", "positions = jax.tree_util.tree_map(lambda xx: xx[burnin::100], positions)\n", "\n", "# predict\n", "f_predictions = predict_fn(network, positions, X_test_).squeeze()\n", "\n", "# generate the noisy predictions\n", "_, key = jr.split(keys[1])\n", "y_predictions = f_predictions + noise_level * jr.normal(\n", " key, shape=(len(f_predictions), 1)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the prediction intervals" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(constrained_layout=True, figsize=(5, 4))\n", "gs = GridSpec(nrows=1, ncols=1, figure=fig)\n", "alpha = 0.05\n", "\n", "mean_prediction = jnp.median(y_predictions, axis=0)\n", "qlow = jnp.quantile(y_predictions, 0.5 * alpha, axis=0)\n", "qhigh = jnp.quantile(y_predictions, (1 - 0.5 * alpha), axis=0)\n", "\n", "ax = fig.add_subplot(gs[0])\n", "plot_on_axis(ax, X_test, y_test, mean_prediction, qlow, qhigh, title=\"sgld\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Author: Brian Staber\n", "\n", "Last updated: Wed Mar 13 2024\n", "\n", "Python implementation: CPython\n", "Python version : 3.11.7\n", "IPython version : 8.21.0\n", "\n", "jax : 0.4.23\n", "numpy : 1.26.3\n", "blackjax : 1.1.0\n", "matplotlib: 3.8.2\n", "flax : 0.8.0\n", "\n", "Watermark: 2.4.3\n", "\n" ] } ], "source": [ "%reload_ext watermark\n", "%watermark -n -u -v -iv -w -a 'Brian Staber'" ] } ], "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": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 2 }