{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sparse Approximations\n", "\n", "\n", "The `gp.MarginalSparse` class implements sparse, or inducing point, GP approximations. It works identically to `gp.Marginal`, except it additionally requires the locations of the inducing points (denoted `Xu`), and it accepts the argument `sigma` instead of `noise` because these sparse approximations assume white IID noise.\n", "\n", "Three approximations are currently implemented, FITC, DTC and VFE. For most problems, they produce fairly similar results. These GP approximations don't form the full covariance matrix over all $n$ training inputs. Instead they rely on $m < n$ *inducing points*, which are \"strategically\" placed throughout the domain. Both of these approximations reduce the $\\mathcal{O(n^3)}$ complexity of GPs down to $\\mathcal{O(nm^2)}$ --- a significant speed up. The memory requirements scale down a bit too, but not as much. They are commonly referred to as *sparse* approximations, in the sense of being data sparse. The downside of sparse approximations is that they reduce the expressiveness of the GP. Reducing the dimension of the covariance matrix effectively reduces the number of covariance matrix eigenvectors that can be used to fit the data. \n", "\n", "A choice that needs to be made is where to place the inducing points. One option is to use a subset of the inputs. Another possibility is to use K-means. The location of the inducing points can also be an unknown and optimized as part of the model. These sparse approximations are useful for speeding up calculations when the density of data points is high and the lengthscales is larger than the separations between inducing points. \n", "\n", "For more information on these approximations, see [Quinonero-Candela+Rasmussen, 2006](http://www.jmlr.org/papers/v6/quinonero-candela05a.html) and [Titsias 2009](https://pdfs.semanticscholar.org/9c13/b87b5efb4bb011acc89d90b15f637fa48593.pdf)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Examples\n", "\n", "For the following examples, we use the same data set as was used in the `gp.Marginal` example, but with more data points." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T03:33:52.801767Z", "start_time": "2017-08-28T03:33:52.079385Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pymc3 as pm\n", "import theano\n", "import theano.tensor as tt\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T03:34:37.358690Z", "start_time": "2017-08-28T03:34:29.708517Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set the seed\n", "np.random.seed(1)\n", "\n", "n = 2000 # The number of data points\n", "X = 10 * np.sort(np.random.rand(n))[:, None]\n", "\n", "# Define the true covariance function and its parameters\n", "ℓ_true = 1.0\n", "η_true = 3.0\n", "cov_func = η_true**2 * pm.gp.cov.Matern52(1, ℓ_true)\n", "\n", "# A mean function that is zero everywhere\n", "mean_func = pm.gp.mean.Zero()\n", "\n", "# The latent function values are one sample from a multivariate normal\n", "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n", "f_true = np.random.multivariate_normal(\n", " mean_func(X).eval(), cov_func(X).eval() + 1e-8 * np.eye(n), 1\n", ").flatten()\n", "\n", "# The observed data is the latent function plus a small amount of IID Gaussian noise\n", "# The standard deviation of the noise is `sigma`\n", "σ_true = 2.0\n", "y = f_true + σ_true * np.random.randn(n)\n", "\n", "## Plot the data and the unobserved latent function\n", "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.gca()\n", "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\")\n", "ax.plot(X, y, \"ok\", ms=3, alpha=0.5, label=\"Data\")\n", "ax.set_xlabel(\"X\")\n", "ax.set_ylabel(\"The true f(x)\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Initializing the inducing points with K-means\n", "\n", "We use the NUTS sampler and the `FITC` approximation." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T03:39:03.184846Z", "start_time": "2017-08-28T03:34:44.700386Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [σ, η, ℓ]\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [8000/8000 12:10<00:00 Sampling 4 chains, 1 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 731 seconds.\n", "There was 1 divergence after tuning. Increase `target_accept` or reparameterize.\n" ] } ], "source": [ "with pm.Model() as model:\n", " ℓ = pm.Gamma(\"ℓ\", alpha=2, beta=1)\n", " η = pm.HalfCauchy(\"η\", beta=5)\n", "\n", " cov = η**2 * pm.gp.cov.Matern52(1, ℓ)\n", " gp = pm.gp.MarginalSparse(cov_func=cov, approx=\"FITC\")\n", "\n", " # initialize 20 inducing points with K-means\n", " # gp.util\n", " Xu = pm.gp.util.kmeans_inducing_points(20, X)\n", "\n", " σ = pm.HalfCauchy(\"σ\", beta=5)\n", " y_ = gp.marginal_likelihood(\"y\", X=X, Xu=Xu, y=y, noise=σ)\n", "\n", " trace = pm.sample(1000)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T03:39:47.274502Z", "start_time": "2017-08-28T03:39:03.193266Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/dependencies/pymc3/pymc3/sampling.py:1618: UserWarning: samples parameter is smaller than nchains times ndraws, some draws and/or chains may not be represented in the returned posterior predictive sample\n", " \"samples parameter is smaller than nchains times ndraws, some draws \"\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [1000/1000 02:53<00:00]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_new = np.linspace(-1, 11, 200)[:, None]\n", "\n", "# add the GP conditional to the model, given the new X values\n", "with model:\n", " f_pred = gp.conditional(\"f_pred\", X_new)\n", "\n", "# To use the MAP values, you can just replace the trace with a length-1 list with `mp`\n", "with model:\n", " pred_samples = pm.sample_posterior_predictive(trace, vars=[f_pred], samples=1000)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T03:42:00.274968Z", "start_time": "2017-08-28T03:41:59.288053Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the results\n", "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.gca()\n", "\n", "# plot the samples from the gp posterior with samples and shading\n", "from pymc3.gp.util import plot_gp_dist\n", "\n", "plot_gp_dist(ax, pred_samples[\"f_pred\"], X_new)\n", "\n", "# plot the data and the true latent function\n", "plt.plot(X, y, \"ok\", ms=3, alpha=0.5, label=\"Observed data\")\n", "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\")\n", "plt.plot(Xu, 10 * np.ones(Xu.shape[0]), \"cx\", ms=10, label=\"Inducing point locations\")\n", "\n", "# axis labels and title\n", "plt.xlabel(\"X\")\n", "plt.ylim([-13, 13])\n", "plt.title(\"Posterior distribution over $f(x)$ at the observed values\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optimizing inducing point locations as part of the model\n", "\n", "For demonstration purposes, we set `approx=\"VFE\"`. Any inducing point initialization can be done with any approximation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T03:40:02.849751Z", "start_time": "2017-08-28T03:39:48.421441Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [118/118 00:01<00:00 logp = -4,301.2, ||grad|| = 2.4568]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "Xu_init = 10 * np.random.rand(20)\n", "\n", "with pm.Model() as model:\n", " ℓ = pm.Gamma(\"ℓ\", alpha=2, beta=1)\n", " η = pm.HalfCauchy(\"η\", beta=5)\n", "\n", " cov = η**2 * pm.gp.cov.Matern52(1, ℓ)\n", " gp = pm.gp.MarginalSparse(cov_func=cov, approx=\"VFE\")\n", "\n", " # set flat prior for Xu\n", " Xu = pm.Flat(\"Xu\", shape=20, testval=Xu_init)\n", "\n", " σ = pm.HalfCauchy(\"σ\", beta=5)\n", " y_ = gp.marginal_likelihood(\"y\", X=X, Xu=Xu[:, None], y=y, noise=σ)\n", "\n", " mp = pm.find_MAP()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-08-28T03:41:56.410281Z", "start_time": "2017-08-28T03:41:54.841763Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mu, var = gp.predict(X_new, point=mp, diag=True)\n", "sd = np.sqrt(var)\n", "\n", "# draw plot\n", "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.gca()\n", "\n", "# plot mean and 2σ intervals\n", "plt.plot(X_new, mu, \"r\", lw=2, label=\"mean and 2σ region\")\n", "plt.plot(X_new, mu + 2 * sd, \"r\", lw=1)\n", "plt.plot(X_new, mu - 2 * sd, \"r\", lw=1)\n", "plt.fill_between(X_new.flatten(), mu - 2 * sd, mu + 2 * sd, color=\"r\", alpha=0.5)\n", "\n", "# plot original data and true function\n", "plt.plot(X, y, \"ok\", ms=3, alpha=1.0, label=\"observed data\")\n", "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"true f\")\n", "Xu = mp[\"Xu\"]\n", "plt.plot(Xu, 10 * np.ones(Xu.shape[0]), \"cx\", ms=10, label=\"Inducing point locations\")\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylim([-13, 13])\n", "plt.title(\"predictive mean and 2σ interval\")\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pymc3 3.9.0\n", "theano 1.0.4\n", "numpy 1.18.5\n", "last updated: Mon Jun 15 2020 \n", "\n", "CPython 3.7.7\n", "IPython 7.15.0\n", "watermark 2.0.2\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }