{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 2 Extra: Deep Gaussian Processes\n", "### Gaussian Process Summer School 2019\n", "In this extra lab, we introduce practical use of _deep Gaussian processes_, expanding on the talk given this morning.\n", "\n", "The level of this notebook is aimed as an introduction to deep GPs, but will assume some familiarity of topics from labs 1 and 2, including regression and using inducing variables for scalable inference.\n", "\n", "This notebook makes use of [`PyDeepGP`](https://github.com/SheffieldML/PyDeepGP)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Getting started\n", "\n", "Make sure that you have the appropriate packages installed, including `PyDeepGP`: you can review the [Getting Started](https://gpss.cc/gpss19/getting_started/) page for detailed instructions.\n", "\n", "First, we will setup the notebook with libraries we are going to use. As in previous labs, we will use `GPy`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Support for maths\n", "import numpy as np\n", "# Plotting tools\n", "from matplotlib import pyplot as plt\n", "# we use the following for plotting figures in jupyter\n", "%matplotlib inline\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "# GPy: Gaussian processes library\n", "import GPy\n", "\n", "# PyDeepGP: Deep Gaussian processes\n", "import deepgp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Recap: Gaussian Process Regression\n", "\n", "Recall, from Lab 2, the data for the winners of the Olympic men's marathon. We will use this again to highlight limitations with standard GPs and demonstrate how we can make use of deep GPs for such a problem." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pickle\n", "with open(\"../.resources/olympic_marathon_men\", \"rb\") as fid:\n", " data = pickle.load(fid)\n", "\n", "X, y = data['X'], data['Y'] # X represents the year, and y are the average pace of the winner" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set up our plotting environment\n", "plt.figure(figsize=(14, 6))\n", "\n", "# Plot the training data, the results of the gold medal winning time for the Olympic men's marathon\n", "plt.plot(X, y, \"kx\", mew=2)\n", "\n", "# Annotate plot\n", "plt.legend(labels=[\"winning time\"]), plt.xlim((1890, 2018))\n", "plt.xlabel(\"year\"), plt.ylabel(\"pace (minutes per kilometer)\")\n", "plt.title(\"Olympic men's marathon gold medal winning times from 1896 to 2012\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By now, you should be familiar with fitting a GP using `GPy`. We will fit a standard `RBF` kernel. Note that we are using a Gaussian likelihood, and have a constant mean for our GP (to be optimised)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 4.785438859622701
\n", "Number of Parameters: 4
\n", "Number of Optimization Parameters: 4
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. valueconstraintspriors
constmap.C 3.58824154210636
rbf.variance 0.2796060152640814 +ve
rbf.lengthscale 20.797074162385726 +ve
Gaussian_noise.variance0.041906807526429966 +ve
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_full = GPy.models.GPRegression(\n", " X, y,\n", " mean_function=GPy.mappings.Constant(1,1),\n", " kernel=GPy.kern.RBF(1)\n", ")\n", "\n", "m_full.optimize(messages=False)\n", "display(m_full)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is utility code from previous labs, adapted slightly so that it will work with deep GPs as well" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_gp(model, X, training_points=False):\n", " \"\"\" Plotting utility to plot a GP fit with 95% confidence interval \"\"\"\n", " # Plot 95% confidence interval \n", " m, _ = model.predict(X)\n", " lci, uci = model.predict_quantiles(\n", " X,\n", " (2.5, 97.5)\n", " )\n", " plt.fill_between(X[:,0], lci[:,0], uci[:,0], alpha=0.5)\n", " \n", " # Plot GP mean and initial training points\n", " plt.plot(X, m, \"-\")\n", " plt.legend(labels=[\"GP fit\"])\n", " \n", " plt.xlabel(\"x\"), plt.ylabel(\"f\")\n", " \n", " # Plot training points if included\n", " if training_points:\n", " X_, Y_ = model.X, model.Y\n", " plt.plot(X_, Y_, \"kx\", mew=2)\n", " plt.legend(labels=[\"GP fit\", \"sample points\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that plotting the GP, we struggle to handle the outlier, giving an suboptimial fit." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Xnew = np.arange(1890,2019)[:, None] # predict winning pace every year between 1890 and 2018\n", "\n", "plt.figure(figsize=(14,6))\n", "# Plot the GP prediction of the latent function with training points\n", "plot_gp(m_full, Xnew, training_points=True)\n", "# Annotate plot\n", "plt.xlabel(\"year\"), plt.ylabel(\"pace (minutes per kilometer)\")\n", "plt.title(\"Exact GP fit of latent function $f$ describing marathon pace in min/km, assuming a Gaussian likelihood\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Deep GP Regression\n", "\n", "As we have seen before, the GP struggles to fit to the observations due to the presence of the outlier in 1904. Previously, in Lab 2, we modelled this with a non-Gaussian likelihood to give a heavy-tailed output using a Student's T-distribution. An alternative way to deal with the non-Gaussian is to construct a hierarchical model: a deep GP with two layers.\n", "\n", "$$\n", " y = f_1(f_2(x)),\\quad \\mathrm{where}\\ f_1\\sim \\mathcal{GP}\\ \\mathrm{and}\\ f_2 \\sim \\mathcal{GP}\n", "$$\n", "\n", "We are essentially constructing the function, \n", "$$f : \\mathbf{x} \\underset{f_2}{\\mapsto} \\mathbf{z} \\underset{f_1}{\\mapsto}y,$$\n", "where $\\mathbf{z}$ is a latent variable in the hierarchical model. We can refer to $\\mathbf{z}$ as a 'layer' in a deep model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will no construct our deep GP using `pyDeepGP`. We have one hidden variable (or layer), and will initialise our latent representations with principle component analysis (PCA).\n", "\n", "For simplicity, we use the Gaussian RBF kernel for each layer, and have 1-D latent variables." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "num_hidden = 1\n", "latent_dim = 1\n", "\n", "kernels = [*[GPy.kern.RBF(latent_dim, ARD=True)]*num_hidden] # hidden kernels\n", "kernels.append(GPy.kern.RBF(X.shape[1])) # we append a kernel for the input layer\n", "\n", "m_deep = deepgp.DeepGP(\n", " # this describes the shapes of the inputs and outputs of our latent GPs\n", " [y.shape[1], *[latent_dim]*num_hidden, X.shape[1]],\n", " X = X, # training input\n", " Y = y, # training outout\n", " inits = [*['PCA']*num_hidden, 'PCA'], # initialise layers\n", " kernels = kernels,\n", " num_inducing = 50,\n", " back_constraint = False\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: deepgp
\n", "Objective: 100.3523861268617
\n", "Number of Parameters: 260
\n", "Number of Optimization Parameters: 260
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
deepgp. valueconstraintspriors
obslayer.inducing inputs (50, 1)
obslayer.rbf.variance 1.0 +ve
obslayer.rbf.lengthscale 1.0 +ve
obslayer.Gaussian_noise.variance 1.0 +ve
obslayer.Kuu_var (50,) +ve
obslayer.latent space.mean (27, 1)
obslayer.latent space.variance (27, 1) +ve
layer_1.inducing inputs (50, 1)
layer_1.rbf.variance 1.0 +ve
layer_1.rbf.lengthscale 1.0 +ve
layer_1.Gaussian_noise.variance 0.01 +ve
layer_1.Kuu_var (50,) +ve
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_deep.initialize_parameter()\n", "display(m_deep)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optimising a Deep GP\n", "\n", "Reflecting on the defined model, we can see that we have $260$ parameters to optimise, including kernel and likelihood hyperparameters and inducing inputs and variables for each layer, as well as the latent parameters.\n", "\n", "You may find that running the optimisation as is will cause a collapse of the Gaussian noise in each layer, causing failure of the optimiser. In the next cell, we construct a utility function to reset the variance to $1.0$ to try and avoid this:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def optimise_dgp(model, messages=True):\n", " ''' Utility function for optimising deep GP by first\n", " reinitiailising the Gaussian noise at each layer\n", " (for reasons pertaining to stability)\n", " '''\n", " model.initialize_parameter()\n", " for layer in model.layers:\n", " layer.likelihood.variance.constrain_positive(warning=False)\n", " layer.likelihood.variance = 1. # small variance may cause collapse\n", " model.optimize(messages=messages, max_iters=10000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's try optimising the deep GP. You may find that the optimisation fails with status `Errorb'ABNORMAL_TERMINATION_IN_LNSRCH`: just try rerunning the cell." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "815bc725e8844635acb0f845302741c8", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(VBox(children=(IntProgress(value=0, max=10000), HTML(value=''))), Box(children=(HTML(value=''),…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimise_dgp(m_deep, messages=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot our deep GP in the same fit as before, by calling `predict()` and `predict_quantiles()` to obtain a moments and quantiles from the optimised deep GP in the observation domain:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Xnew = np.arange(1890,2019)[:, None] # predict winning pace every year between 1890 and 2018\n", "\n", "plt.figure(figsize=(14,6))\n", "\n", "# Plot the our deep GP prediction\n", "plot_gp(m_deep, Xnew, training_points=True)\n", "\n", "# Annotate plot\n", "plt.xlabel(\"year\"), plt.ylabel(\"pace (minutes per kilometer)\")\n", "plt.title(\"Deep GP with %d hidden layer(s) fit describing marathon pace in min/km\" % num_hidden);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualising Mappings\n", "\n", "As we can see, the deep GP performs much better than the standard GP fit. We may also find it interesting to look at both the individual functions mapping between layers.\n", "\n", "We can visualise the latent mappings by propagating the input through layers -- since each output is multivariate Gaussian by virtue of the mappings being GPs, we can plot the uncertainty of the latent functions at each layer." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def plot_dgp_layers(model, X, training_points=True, axsize=(14,6)):\n", " ''' Plot mappings between layers in a deep GP '''\n", " if not isinstance(model, deepgp.DeepGP):\n", " return plot_gp(model, X) # catch a batch GP\n", "\n", " num_layers = len(model.layers) # Get number of layers\n", " layer_input = X # The first input\n", " \n", " _, axs = plt.subplots(num_layers, 1, figsize=(axsize[0], axsize[1]*num_layers))\n", " \n", " # The layers in a deep GP are ordered from observation to input,\n", " # ... we will plot them from input to output, so reverse the layers\n", " layers = list(reversed(model.layers))\n", " for i, layer in enumerate(layers):\n", " # We get the mean and confidence intervals of the layer\n", " mu_i, _ = layer.predict(layer_input, include_likelihood=False)\n", " lci_i, uci_i = layer.predict_quantiles(layer_input, (2.5, 97.5))\n", " # Plot mean and 95% CI of latent function\n", " axs[i].plot(layer_input, mu_i)\n", " axs[i].fill_between(layer_input[:,0], lci_i[:,0], uci_i[:,0], alpha=0.5)\n", " # Annotate plot\n", " axs[i].set_ylabel(layer.name)\n", " axs[i].set_xlabel(layers[i-1].name if i > 0 else \"input\")\n", " axs[i].set_title(\"$f_%d$\" % (num_layers-i))\n", " # Set mean as input for next layer\n", " layer_input = np.linspace(*min(lci_i), *max(uci_i), num=100)[:,None]\n", " \n", " if training_points: # Plot propagated training points\n", " axs[i].plot(\n", " layer.X.mean.values if i > 0 else layer.X,\n", " layer.Y.mean.values if i < num_layers-1 else layer.Y,\n", " 'kx', mew=2\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now plot our two GPs that form the hierarchical (deep) GP. The first maps the input domain to the first latent space, and the second maps from that latent space into space of our observation model.\n", "\n", "$$y = f_1(f_2(x))$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_dgp_layers(m_deep, Xnew, training_points=True, axsize=(14, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sampling\n", "\n", "As with all models, we might want to sample from the posterior. We can do this with the mean and covariance of our GP layers, and use these to create random samples -- by the nature of the model, each sample from the first layer forms the input to the second. You can see the code to perform this below:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def sample_dgp(model, X, num_samples=1, include_likelihood=True):\n", " ''' Sample from a hierarchical GP by propagating\n", " samples through layers\n", " '''\n", " samples = []\n", " jitter = 1e-5\n", " count, num_tries = 0, 100\n", " while len(samples) < num_samples:\n", " next_input = X\n", " if count > num_tries:\n", " print(\"failed to sample\")\n", " break\n", " try:\n", " count = count + 1\n", " for layer in reversed(model.layers):\n", " mu_k, sig_k = layer.predict(\n", " next_input, full_cov=True, include_likelihood=include_likelihood\n", " )\n", " sample_k = mu_k + np.linalg.cholesky(sig_k + jitter*np.eye(X.shape[0]))@np.random.randn(*X.shape)\n", " next_input = sample_k\n", " samples.append(sample_k)\n", " count = 0\n", " except:\n", " pass\n", " \n", " return samples if num_samples > 1 else samples[0]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "failed to sample\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(2,1, figsize=(14,12))\n", "\n", "samples = sample_dgp(m_deep, Xnew, 10, include_likelihood=True)\n", "for sample in samples:\n", " axs[0].plot(Xnew, sample, 'go', alpha=0.2)\n", "axs[0].plot(X, y, 'kx', mew=2)\n", "axs[0].set_title(\"observable samples\")\n", "\n", "samples = sample_dgp(m_deep, Xnew, 100, include_likelihood=False)\n", "for sample in samples:\n", " axs[1].plot(Xnew, sample, 'g-', alpha=0.1)\n", "axs[1].plot(X, y, 'kx', mew=2)\n", "axs[1].set_title(\"latent samples\")\n", "\n", "[(ax.set_xlabel(\"year\"), ax.set_ylabel(\"pace (minutes per kilometer)\")) for ax in axs];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise:\n", "\n", "Now you have seen how we can fit a deep GP to data, and sample from the posterior. Using the following utility code snippets, construct a deep GP prior and same from it. Apply standard and deep GP regression to the model, and comment on the results." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def gp_prior_sample(x, kern=GPy.kern.RBF):\n", " ''' '''\n", " if not isinstance(kern, GPy.kern.Kern):\n", " kern = kern(x.shape[1], ARD=True)\n", " mu = np.zeros((x.shape[0]))\n", " C = kern.K(x,x)\n", " return np.random.multivariate_normal(mu, C, 1).T\n", "\n", "def deepgp_prior_sample(x, kernels=[GPy.kern.RBF]):\n", " ''' Sample from hierarchical model: f = f1(f2(...fn(x)))\n", " where fi ~ GP(0,Ki) and Ki = kernels[i].K\n", " '''\n", " z = x\n", " for kern in reversed(kernels):\n", " z = gp_prior_sample(z, kern=kern)\n", " return z" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Using the utility code, we can easily sample using a list of kernels. In the below example, we define a GP with three warping layers, each with an `RBF` kernel defined using different hyperparameter values. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "kernels = [\n", " GPy.kern.RBF(1, lengthscale=0.2),\n", " GPy.kern.RBF(1, variance=0.1, lengthscale=0.5),\n", " GPy.kern.RBF(1, lengthscale=0.1)\n", "] # The kernels for our respective layers\n", "\n", "Xnew = np.linspace(0., 1., num=1000)[:,None]\n", "\n", "np.random.seed(458)\n", "f = deepgp_prior_sample(Xnew, kernels=kernels) #f1(f2(f3(Xnew)))\n", "X = Xnew[::10]\n", "y = f[::10] + 0.1*np.random.randn(*X.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> We can plot our samples, and observe the erratic behaviour of the curve. It should be clear that fitting a standard GP would not give a reliable fit." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,6))\n", "plt.plot(Xnew, f,'-', X, y, 'k.')\n", "plt.xlabel('x'), plt.ylabel('y'), plt.legend(labels=['latent sample','observations']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> We will try and regress this data using the same kernel list, and apply hyperparameter optimisation for good measure." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1e832181e0784f63b7e5091e3a3e947c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(VBox(children=(IntProgress(value=0, max=10000), HTML(value=''))), Box(children=(HTML(value=''),…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_hidden = len(kernels) - 1\n", "latent_dim = 1\n", "\n", "m_deep = deepgp.DeepGP(\n", " # this describes the shapes of the inputs and outputs of our latent GPs\n", " [y.shape[1], *[latent_dim]*num_hidden, X.shape[1]],\n", " X = X, # training input\n", " Y = y, # training outout\n", " inits = [*['PCA']*num_hidden, 'PCA'], # initialise layers\n", " kernels = kernels,\n", " num_inducing = 100,\n", " back_constraint = False\n", ")\n", "\n", "optimise_dgp(m_deep)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,6))\n", "plot_gp(m_deep, Xnew, training_points=True)\n", "plt.title(\"deep gp fit\")\n", "\n", "plot_dgp_layers(m_deep, Xnew)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Approximating Discontinuities\n", "\n", "One of the benefits of deep Gaussian processes is that we can warp the latent GPs non-linearly, which helps model more complex structures, such as step discontinuties. In this section, we will show an example of how a deep GP can be used to model a rectangle function, and compare it to a standard GP.\n", "\n", "First, we will create some data from a rectangle function, with the upper and lower parts overlapping randomly:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def overlapping_rect(scale=1.):\n", " ''' Create a rectangle function with overlap in upper and lower layers'''\n", " x = np.linspace(0., 1., 400)\n", " y = np.hstack([np.zeros(100), np.random.choice([0., 1.], size=(50,)), np.ones(100), np.random.choice([0., 1.], size=(50,)), np.zeros(100)])\n", " return x[:,None], scale*y[:,None]\n", "\n", "# We generate and plot our data (not that there is no added noise)\n", "X, y = overlapping_rect()\n", "\n", "plt.figure(figsize=(14, 6))\n", "plt.plot(X, y, 'kx', alpha=0.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we know from previous labs, fitting a GP to this will be difficult because of the inherent smoothness assumed. However, we will fit and plot one all the same, just for comparison:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 64.84350085460682
\n", "Number of Parameters: 3
\n", "Number of Optimization Parameters: 3
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. valueconstraintspriors
rbf.variance 0.2491115161061674 +ve
rbf.lengthscale 0.2135121969510486 +ve
Gaussian_noise.variance0.07540321132246341 +ve
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_full = GPy.models.GPRegression(X, y, kernel=GPy.kern.RBF(1))\n", "m_full.optimize()\n", "display(m_full)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Xnew = np.linspace(-0.2, 1.2, num=500)[:,None]\n", "plt.figure(figsize=(14,6))\n", "plot_gp(m_full, Xnew, training_points=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the GP struggles with the discontinuties and gives us an overly uncertain, and smooth fit.\n", "\n", "We will now try a simple 3-layer deep GP, $y = f_1(f_2(f_3(x)))$, with RBF kernels at each layer." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "468cf8e9a99847c0a846dc637d54161a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(VBox(children=(IntProgress(value=0, max=10000), HTML(value=''))), Box(children=(HTML(value=''),…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_hidden = 2\n", "\n", "m_deep = deepgp.DeepGP(\n", " [y.shape[1], *[1]*num_hidden, X.shape[1]],\n", " X = X,\n", " Y = y,\n", " init = [*['PCA']*num_hidden, 'PCA'],\n", " kernels = [*[GPy.kern.RBF(1, ARD=True)]*num_hidden, GPy.kern.RBF(1)],\n", " num_inducing = 50,\n", " back_constraint=False\n", ")\n", "optimise_dgp(m_deep)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the fit now, and as we can see, the is close to the observations, with the greatest uncertainty occuring in the overlapping discontinuties. " ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,6))\n", "plot_gp(m_deep, Xnew, training_points=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can look at the samples from the posterior, of both simulated observations and of the latent GPs. We can see that while the samples are not tightly fit to 0 or 1, we observe a reasonable behaviour representing the rectangle function (which we have treated as continuous). Notably, if we look to the edges of the plot, where we are sampling at input from which we have no observations, the behaviour is modelling the step functionality as a possibility." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(2,1, figsize=(14,12))\n", "\n", "samples = sample_dgp(m_deep, Xnew, 10, include_likelihood=True)\n", "for sample in samples:\n", " axs[0].plot(Xnew, sample, 'go', alpha=0.2)\n", "axs[0].plot(X, y, 'kx', mew=2)\n", "axs[0].set_title(\"observable samples\")\n", "\n", "samples = sample_dgp(m_deep, Xnew, 100, include_likelihood=False)\n", "for sample in samples:\n", " axs[1].plot(Xnew, sample, 'g-', alpha=0.1)\n", "axs[1].plot(X, y, 'kx', mew=2)\n", "axs[1].set_title(\"latent samples\")\n", "\n", "[(ax.set_xlabel(\"x\"), ax.set_ylabel(\"y\")) for ax in axs];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "\n", "Plot the different layers of the GP and comment on the warping. Can you explain why we are observing simulated discontinuities in the extrapolated regions? " ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_dgp_layers(m_deep, Xnew, training_points=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Looking at the warping, we can see that in the final layer before observation, we have essentially learned a sigmoid function which quite rapidly maps data to either 0 or 1 given the input. Observing the range of likely inputs from the preceding warping function, $f_2$, we can see simlar form where most of the data is warped to either approximately -1 or 1.5, which respectively map to 0 and 1 in $f_1$.\n", ">\n", "> Note that we may not have learned the optimal model, and you may want to adapt the model, in terms of, e.g. the number and dimension of hidden layers, and the kernels describing the underlying GPs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### Credit\n", "\n", "This notebook was written by Wil Ward, based on documentation of PyDeepGP and talks by [Neil Lawrence](http://inverseprobability.com/). " ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }