{ "cells": [ { "cell_type": "markdown", "id": "ea5084fd", "metadata": {}, "source": [ "# E2 236 Foundations of ML\n", "# Lab 5: Gaussian Processes\n", "## Regression & Classification with Laplace Approximation\n", "\n", "**Topics covered:**\n", "- GP priors: mean functions and covariance kernels\n", "- GP regression (exact posterior)\n", "- GP classification via the Laplace approximation\n", "- Predictive distributions and uncertainty quantification\n", "\n", "**Instructions:** Fill in all sections marked `# YOUR CODE HERE`.\n", "\n", "---\n" ] }, { "cell_type": "markdown", "id": "ab6ee951", "metadata": {}, "source": [ "## 0. Setup & Imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "461fe54f", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.linalg import solve, cho_factor, cho_solve\n", "from scipy.special import expit # sigmoid σ(x) = 1/(1+e^{-x})\n", "from scipy.optimize import minimize\n", "from sklearn.datasets import make_moons\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import accuracy_score\n", "\n", "np.random.seed(0)\n", "%matplotlib inline\n", "plt.rcParams.update({'figure.dpi': 110, 'font.size': 11})\n" ] }, { "cell_type": "markdown", "id": "21603650", "metadata": {}, "source": [ "## 1. The GP Prior\n", "\n", "A Gaussian Process is specified by a **mean function** $m(\\mathbf{x})$ and a **kernel** (covariance function) $k(\\mathbf{x}, \\mathbf{x}')$.\n", "\n", "We write $f \\sim \\mathcal{GP}(m, k)$.\n", "\n", "### 1.1 Implement the squared-exponential kernel\n", "\n", "$$k_{\\text{SE}}(x, x') = \\sigma_f^2 \\exp\\!\\left(-\\frac{(x-x')^2}{2\\ell^2}\\right)$$\n" ] }, { "cell_type": "code", "execution_count": null, "id": "73a73564", "metadata": {}, "outputs": [], "source": [ "def se_kernel(X1, X2, length_scale=1.0, signal_var=1.0):\n", " \"\"\"\n", " Squared-exponential (RBF) kernel.\n", "\n", " Parameters\n", " ----------\n", " X1 : ndarray (n, d)\n", " X2 : ndarray (m, d)\n", " length_scale : float ℓ\n", " signal_var : float σ_f²\n", "\n", " Returns\n", " -------\n", " K : ndarray (n, m)\n", " \"\"\"\n", " # YOUR CODE HERE\n", " raise NotImplementedError\n" ] }, { "cell_type": "markdown", "id": "cfbe1a03", "metadata": {}, "source": [ "### 1.2 Sample from the GP Prior\n", "\n", "Draw 5 functions from $\\mathcal{GP}(0, k_{\\text{SE}})$ on $x \\in [-5, 5]$ for three length-scales:\n", "$\\ell \\in \\{0.5, 1.0, 2.0\\}$.\n", "\n", "*Hint*: Compute the kernel matrix $K$, then sample $\\mathbf{f} \\sim \\mathcal{N}(\\mathbf{0}, K)$\n", "by drawing $\\mathbf{z} \\sim \\mathcal{N}(\\mathbf{0}, I)$ and computing $L\\mathbf{z}$ where $L = \\text{chol}(K + \\epsilon I)$.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "ed8219fe", "metadata": {}, "outputs": [], "source": [ "# YOUR CODE HERE\n" ] }, { "cell_type": "code", "execution_count": null, "id": "8b6144e5", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "markdown", "id": "750e3362", "metadata": {}, "source": [ "## 2. GP Regression (Exact Posterior)\n", "\n", "Given observations $(\\mathbf{X}, \\mathbf{y})$ with Gaussian noise $\\varepsilon \\sim \\mathcal{N}(0, \\sigma_n^2)$,\n", "the posterior is also a GP with\n", "\n", "$$\\boldsymbol{\\mu}_* = K_*^\\top (K + \\sigma_n^2 I)^{-1} \\mathbf{y}$$\n", "\n", "$$\\Sigma_* = K_{**} - K_*^\\top (K + \\sigma_n^2 I)^{-1} K_*$$\n", "\n", "where $K = k(\\mathbf{X}, \\mathbf{X})$, $K_* = k(\\mathbf{X}, \\mathbf{X}_*)$, $K_{**} = k(\\mathbf{X}_*, \\mathbf{X}_*)$.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "bad1aaa8", "metadata": {}, "outputs": [], "source": [ "class GaussianProcessRegressor:\n", " \"\"\"\n", " Exact GP regression with a squared-exponential kernel.\n", "\n", " Parameters\n", " ----------\n", " length_scale : float\n", " signal_var : float σ_f²\n", " noise_var : float σ_n²\n", " \"\"\"\n", "\n", " def __init__(self, length_scale=1.0, signal_var=1.0, noise_var=0.1):\n", " self.length_scale = length_scale\n", " self.signal_var = signal_var\n", " self.noise_var = noise_var\n", "\n", " def _kernel(self, X1, X2):\n", " return se_kernel(X1, X2,\n", " length_scale=self.length_scale,\n", " signal_var=self.signal_var)\n", "\n", " def fit(self, X, y):\n", " \"\"\"\n", " Store training data and precompute (K + σ_n² I)^{-1} y.\n", "\n", " Parameters\n", " ----------\n", " X : ndarray (n, 1)\n", " y : ndarray (n,)\n", " \"\"\"\n", " # YOUR CODE HERE\n", " raise NotImplementedError\n", "\n", " def predict(self, X_star, return_std=False):\n", " \"\"\"\n", " Compute posterior mean (and optionally std) at X_star.\n", "\n", " Parameters\n", " ----------\n", " X_star : ndarray (m, 1)\n", " return_std : bool\n", "\n", " Returns\n", " -------\n", " mu : ndarray (m,)\n", " std : ndarray (m,) — only if return_std=True\n", " \"\"\"\n", " # YOUR CODE HERE\n", " raise NotImplementedError\n" ] }, { "cell_type": "code", "execution_count": null, "id": "cc49d89b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "891e7031", "metadata": {}, "source": [ "### 2.1 Fit and visualise\n", "\n", "- Generate 20 noisy observations of $y = \\sin(x)$ on $[-4, 4]$ with $\\sigma_n = 0.2$.\n", "- Fit your `GaussianProcessRegressor`.\n", "- Plot the posterior mean ± 2 standard deviations and 5 posterior samples.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f32a43b2", "metadata": {}, "outputs": [], "source": [ "# YOUR CODE HERE\n" ] }, { "cell_type": "code", "execution_count": null, "id": "e3d03e4a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "markdown", "id": "d637ffb6", "metadata": {}, "source": [ "### 2.2 Marginal Likelihood\n", "\n", "The log marginal likelihood is\n", "\n", "$$\\log p(\\mathbf{y} | \\mathbf{X}) = -\\tfrac{1}{2}\\mathbf{y}^\\top(K + \\sigma_n^2 I)^{-1}\\mathbf{y}\n", " - \\tfrac{1}{2}\\log|K + \\sigma_n^2 I| - \\tfrac{n}{2}\\log 2\\pi$$\n", "\n", "**Q2.2** — Implement `log_marginal_likelihood` and plot it as a function of `length_scale`\n", "(keep $\\sigma_f^2 = 1$, $\\sigma_n^2 = 0.04$ fixed). Mark the optimum.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "379f3cbd", "metadata": {}, "outputs": [], "source": [ "def log_marginal_likelihood(X, y, length_scale, signal_var=1.0, noise_var=0.04):\n", " \"\"\"\n", " Compute the log marginal likelihood of the GP.\n", "\n", " Returns\n", " -------\n", " lml : float\n", " \"\"\"\n", " # YOUR CODE HERE\n", " raise NotImplementedError\n", "\n", "# Plot log marginal likelihood vs length_scale\n", "# YOUR CODE HERE\n" ] }, { "cell_type": "code", "execution_count": null, "id": "3fd51cd4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Best length-scale: 1.750\n" ] } ], "source": [] }, { "cell_type": "markdown", "id": "a4820331", "metadata": {}, "source": [ "## 3. GP Classification with Laplace Approximation\n", "\n", "For classification, the likelihood $p(y_i | f_i)$ is non-Gaussian (e.g. Bernoulli with sigmoid link),\n", "so the posterior is intractable. The **Laplace approximation** fits a Gaussian to the posterior mode $\\hat{\\mathbf{f}}$.\n", "\n", "### Algorithm (binary classification, sigmoid likelihood):\n", "\n", "1. **Find the posterior mode** $\\hat{\\mathbf{f}}$ by Newton's method:\n", " $$\\hat{\\mathbf{f}} \\leftarrow (K^{-1} + W)^{-1}(W\\hat{\\mathbf{f}} + \\nabla \\log p(\\mathbf{y}|\\hat{\\mathbf{f}}))$$\n", " where $W = -\\nabla^2 \\log p(\\mathbf{y}|\\hat{\\mathbf{f}}) = \\text{diag}(\\pi_i(1-\\pi_i))$\n", " and $\\pi_i = \\sigma(\\hat{f}_i)$.\n", "\n", "2. **Approximate posterior covariance**: $\\Sigma = (K^{-1} + W)^{-1}$.\n", "\n", "3. **Predictive distribution**:\n", " $$\\mu_* = K_*^\\top K^{-1} \\hat{\\mathbf{f}}$$\n", " $$\\sigma_*^2 = k_{**} - K_*^\\top (K + W^{-1})^{-1} K_*$$\n", " $$p(y_*=1 | \\mathbf{X}, \\mathbf{y}, \\mathbf{x}_*) \\approx \\sigma\\!\\left(\\frac{\\mu_*}{\\sqrt{1 + \\pi\\sigma_*^2/8}}\\right)$$\n" ] }, { "cell_type": "code", "execution_count": null, "id": "c3be41c2", "metadata": {}, "outputs": [], "source": [ "class GPClassifierLaplace:\n", " \"\"\"\n", " Binary GP classifier using the Laplace approximation.\n", "\n", " Parameters\n", " ----------\n", " length_scale : float\n", " signal_var : float\n", " max_iter : int Newton iterations\n", " tol : float convergence tolerance\n", " \"\"\"\n", "\n", " def __init__(self, length_scale=1.0, signal_var=1.0,\n", " max_iter=50, tol=1e-6):\n", " self.length_scale = length_scale\n", " self.signal_var = signal_var\n", " self.max_iter = max_iter\n", " self.tol = tol\n", "\n", " def _kernel(self, X1, X2):\n", " return se_kernel(X1, X2,\n", " length_scale=self.length_scale,\n", " signal_var=self.signal_var)\n", "\n", " def _log_likelihood_grad_hess(self, f, y):\n", " \"\"\"\n", " Bernoulli log-likelihood with sigmoid link.\n", "\n", " Returns\n", " -------\n", " ll : float log p(y|f)\n", " grad : ndarray ∂ll/∂f = y - σ(f)\n", " W : ndarray -∂²ll/∂f² (diagonal vector, positive)\n", " W_i = σ(f_i)(1 - σ(f_i))\n", " \"\"\"\n", " # YOUR CODE HERE\n", " raise NotImplementedError\n", "\n", " def fit(self, X, y):\n", " \"\"\"\n", " Run Newton iterations to find the posterior mode f_hat.\n", "\n", " Implementation notes\n", " --------------------\n", " 1. Form B = I + W^{1/2} K W^{1/2} (PD matrix of size n×n).\n", " 2. Compute L = np.linalg.cholesky(B) — plain lower-triangular factor.\n", " Do NOT call cho_factor on L again; use np.linalg.solve(L, ...) directly.\n", " 3. Newton RHS: b = W*f + grad\n", " 4. Woodbury step:\n", " rhs = sqrt_W * (K @ b)\n", " tmp = np.linalg.solve(L.T, np.linalg.solve(L, rhs))\n", " f_new = K @ (b - sqrt_W * tmp)\n", " 5. Store self.f_hat_, self.sqrt_W_, self.L_B_ for use in predict_proba.\n", "\n", " y should be in {0, 1}.\n", " \"\"\"\n", " # YOUR CODE HERE\n", " raise NotImplementedError\n", "\n", " def predict_proba(self, X_star):\n", " \"\"\"\n", " Predictive probability p(y_*=1 | ...) using Laplace approximation.\n", "\n", " Implementation notes\n", " --------------------\n", " mu_s = K_s.T @ (y - σ(f_hat))\n", " v = np.linalg.solve(self.L_B_, self.sqrt_W_[:, None] * K_s) # (n, m)\n", " var_s = diag(K_ss) - einsum(\"ij,ij->j\", v, v)\n", " kappa = 1 / sqrt(1 + π·var_s/8) (probit approximation)\n", " return σ(kappa * mu_s)\n", " \"\"\"\n", " # YOUR CODE HERE\n", " raise NotImplementedError\n", "\n", " def predict(self, X_star, threshold=0.5):\n", " return (self.predict_proba(X_star) >= threshold).astype(int)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "03f6f7db", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "427e4907", "metadata": {}, "source": [ "### 3.1 Test on 1-D toy data\n", "\n", "- Create a binary dataset: $y=1$ if $\\sin(x) > 0$, else $y=0$, with a few label flips for noise.\n", "- Fit your `GPClassifierLaplace`.\n", "- Plot the predictive probability $p(y_*=1|x_*)$ along with the training data.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "ab881159", "metadata": {}, "outputs": [], "source": [ "# YOUR CODE HERE\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "657fddc8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 3.1 — 1-D toy dataset\n", "rng4 = np.random.default_rng(3)\n", "X1d = rng4.uniform(-5, 5, (60, 1))\n", "y1d = (np.sin(X1d[:, 0]) > 0).astype(float)\n", "# add ~10% label noise\n", "flip = rng4.random(60) < 0.1\n", "y1d[flip] = 1 - y1d[flip]\n", "\n", "gpc1d = GPClassifierLaplace(length_scale=1.2).fit(X1d, y1d)\n", "\n", "X_s1d = np.linspace(-6, 6, 300).reshape(-1, 1)\n", "proba = gpc1d.predict_proba(X_s1d)\n", "\n", "plt.figure(figsize=(9, 3))\n", "plt.plot(X_s1d, proba, 'b-', lw=2, label='$p(y=1|x_*)$')\n", "plt.scatter(X1d[y1d==1, 0], np.ones(int(y1d.sum())), marker='|', s=60,\n", " c='green', label='y=1')\n", "plt.scatter(X1d[y1d==0, 0], np.zeros(int((y1d==0).sum())), marker='|',\n", " s=60, c='red', label='y=0')\n", "plt.axhline(0.5, color='k', linestyle='--', alpha=0.4)\n", "plt.ylim(-0.1, 1.1); plt.xlabel('$x$')\n", "plt.title('GP Classifier — Laplace Approximation (1-D)')\n", "plt.legend(); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "cd4beece", "metadata": {}, "source": [ "### 3.2 Test on 2-D make_moons\n", "\n", "- Load `make_moons(n_samples=200, noise=0.2)`.\n", "- Fit `GPClassifierLaplace` with `length_scale=0.5`.\n", "- Plot the decision boundary and predictive probability as a heatmap.\n", "- Report test accuracy.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "8d3cf771", "metadata": {}, "outputs": [], "source": [ "# YOUR CODE HERE\n" ] }, { "cell_type": "code", "execution_count": null, "id": "ffc26d2b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Test accuracy: 1.000\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "markdown", "id": "011d2067", "metadata": {}, "source": [ "## 4. Hyperparameter Tuning via Log Marginal Likelihood\n", "\n", "**Q4 (optional / advanced)** — Implement gradient-based optimisation of the GP regression hyperparameters\n", "$\\{\\ell, \\sigma_f^2, \\sigma_n^2\\}$ by maximising the log marginal likelihood.\n", "Use `scipy.optimize.minimize` with `method='L-BFGS-B'` on the **negative** log marginal likelihood.\n", "Plot the fitted posterior before and after optimisation.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "132b6e71", "metadata": {}, "outputs": [], "source": [ "# YOUR CODE HERE (optional)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "5600acda", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimised: ℓ=1.211, σ_f²=0.475, σ_n²=0.0219\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "markdown", "id": "fd2cffb8", "metadata": {}, "source": [ "## 5. Conceptual Questions\n", "\n", "**Q5.1** — What is the key difference between GP regression and GP classification in terms of tractability of the posterior?\n", "\n", "**Q5.2** — Explain the role of the noise variance $\\sigma_n^2$ in GP regression. What happens when $\\sigma_n^2 \\to 0$?\n", "\n", "**Q5.3** — Why is the Laplace approximation not always accurate for GP classification? When would you expect it to fail?\n" ] }, { "cell_type": "markdown", "id": "317b3483", "metadata": {}, "source": [ "**Q5.1:** > *[Your answer here]*\n", "\n", "**Q5.2:** > *[Your answer here]*\n", "\n", "**Q5.3:** > *[Your answer here]*\n" ] }, { "cell_type": "markdown", "id": "860a3191", "metadata": {}, "source": [ "---\n", "## End of Part B" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }