{ "cells": [ { "cell_type": "markdown", "id": "14a557a8", "metadata": {}, "source": [ "# Bayesian Optimization\n", "\n", "In addition to inference problems, `alabi` can also be used for optimizing computationally expensive functions. This notebook demonstrates how to use alabi for Bayesian optimization on a 1D multimodal function using the Jones (Expected Improvement) active learning algorithm." ] }, { "cell_type": "markdown", "id": "03610ae3", "metadata": {}, "source": [ "## Import Libraries\n", "\n", "First, let's import the necessary libraries:" ] }, { "cell_type": "code", "execution_count": 2, "id": "3e5d7636", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:02.337825Z", "iopub.status.busy": "2026-02-21T08:27:02.337707Z", "iopub.status.idle": "2026-02-21T08:27:03.287515Z", "shell.execute_reply": "2026-02-21T08:27:03.286982Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from alabi.core import SurrogateModel\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "from matplotlib import rcParams\n", "# rcParams['font.family'] = 'serif'\n", "# rcParams['text.usetex'] = True" ] }, { "cell_type": "markdown", "id": "37e358af", "metadata": {}, "source": [ "## Define the Multimodal Test Function\n", "\n", "We'll use a 1D multimodal function with multiple local maxima. This function combines a sine wave with a Gaussian peak to create an interesting optimization landscape:" ] }, { "cell_type": "code", "execution_count": 3, "id": "c8b30fc9", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:03.289582Z", "iopub.status.busy": "2026-02-21T08:27:03.289331Z", "iopub.status.idle": "2026-02-21T08:27:03.293279Z", "shell.execute_reply": "2026-02-21T08:27:03.292608Z" } }, "outputs": [], "source": [ "def multimodal_function(theta):\n", " \"\"\"\n", " A 1D multimodal function with multiple peaks.\n", " Global maximum is around x=1.5\n", " \"\"\"\n", " x = theta[0] if hasattr(theta, '__len__') else theta\n", " \n", " # Combine sine wave with Gaussian peaks\n", " f1 = 3 * np.sin(2 * np.pi * x) * np.exp(-0.5 * x**2)\n", " f2 = 2 * np.exp(-2 * (x - 1.5)**2)\n", " f3 = 1.5 * np.exp(-3 * (x + 0.5)**2)\n", " \n", " return f1 + f2 + f3\n", "\n", "def plot_function(x_plot, y_plot):\n", " fig = plt.figure(figsize=(10, 6))\n", " plt.plot(x_plot, y_plot, 'k-', linewidth=2, label='True function')\n", " plt.scatter(x_plot[np.argmax(y_plot)], np.max(y_plot), color='red', s=100, label='Global Maximum')\n", " plt.xlabel('x', fontsize=14)\n", " plt.ylabel('f(x)', fontsize=14)\n", " plt.title('1D Multimodal Function', fontsize=16)\n", " plt.grid(True, alpha=0.3)\n", " plt.legend()\n", "\n", " print(f\"True global maximum at x={x_plot[np.argmax(y_plot)]:.3f} with f(x)={np.max(y_plot):.3f}\")\n", " \n", " return fig" ] }, { "cell_type": "code", "execution_count": 4, "id": "70119242", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:03.294588Z", "iopub.status.busy": "2026-02-21T08:27:03.294455Z", "iopub.status.idle": "2026-02-21T08:27:03.494292Z", "shell.execute_reply": "2026-02-21T08:27:03.493845Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True global maximum at x=-0.712 with f(x)=3.573\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the function\n", "x_plot = np.linspace(-3, 3, 1000)\n", "y_plot = [multimodal_function(x) for x in x_plot]\n", "\n", "fig = plot_function(x_plot, y_plot)" ] }, { "cell_type": "markdown", "id": "a49ca7dc", "metadata": {}, "source": [ "## Set up the Surrogate Model\n", "\n", "Now we'll create a SurrogateModel using alabi. For optimization, we want to maximize the function, but alabi works with log-likelihood functions (which we typically want to maximize). So we'll use our function directly as the \"log-likelihood\"." ] }, { "cell_type": "code", "execution_count": 5, "id": "014fc256", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:03.495965Z", "iopub.status.busy": "2026-02-21T08:27:03.495818Z", "iopub.status.idle": "2026-02-21T08:27:03.498605Z", "shell.execute_reply": "2026-02-21T08:27:03.498124Z" } }, "outputs": [], "source": [ "# Define bounds for the parameter space\n", "bounds = [(-3.0, 3.0)] \n", "\n", "# Create the surrogate model\n", "sm = SurrogateModel(\n", " lnlike_fn=multimodal_function,\n", " bounds=bounds,\n", " param_names=['x'],\n", " cache=False, # Disable caching for this demo\n", " verbose=True,\n", ")" ] }, { "cell_type": "markdown", "id": "5efa38b8", "metadata": {}, "source": [ "## Initialize Training Set\n", "\n", "Start with a small set of initial training points. First we'll try training `alabi` with the default GP settings (using the squared exponential kernel and log-length scales ranging [-2,2])." ] }, { "cell_type": "code", "execution_count": 6, "id": "fe983d9d", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:03.500592Z", "iopub.status.busy": "2026-02-21T08:27:03.500431Z", "iopub.status.idle": "2026-02-21T08:27:04.063614Z", "shell.execute_reply": "2026-02-21T08:27:04.063037Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initialized GP with squared exponential kernel.\n", "Successfully initialized GP on attempt 1\n", "\n", "Optimizing GP hyperparameters using 5-fold cross-validation...\n", "Evaluating 100 hyperparameter candidates using 5-fold CV...\n" ] } ], "source": [ "# Initialize with a few random points\n", "sm.init_samples(ntrain=10, sampler='lhs')\n", "\n", "gp_kwargs = {\"kernel\": \"ExpSquaredKernel\",\n", " \"fit_amp\": True,\n", " \"fit_mean\": True,\n", " \"fit_white_noise\": False,\n", " \"white_noise\": -12,\n", " \"gp_opt_method\": \"l-bfgs-b\",\n", " \"gp_scale_rng\": [-1,1],\n", " \"optimizer_kwargs\": {\"max_iter\": 50},\n", " \"overwrite\": True}\n", "\n", "sm.init_gp(**gp_kwargs)" ] }, { "cell_type": "code", "execution_count": 7, "id": "76df4383", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:04.065590Z", "iopub.status.busy": "2026-02-21T08:27:04.065344Z", "iopub.status.idle": "2026-02-21T08:27:04.270004Z", "shell.execute_reply": "2026-02-21T08:27:04.269309Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True global maximum at x=-0.712 with f(x)=3.573\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xpred = np.linspace(-3, 3, 200).reshape(-1,1)\n", "ypred, yvar = sm.surrogate_log_likelihood(xpred, return_var=True)\n", "ystd = np.sqrt(yvar)\n", "\n", "fig = plot_function(x_plot, y_plot)\n", "plt.scatter(sm.theta_train[:sm.ninit_train].flatten(), sm.y_train[:sm.ninit_train], color='blue', s=100, label='Training Points')\n", "plt.plot(xpred.flatten(), ypred, 'b--', linewidth=2, label='GP mean', alpha=0.8)\n", "plt.fill_between(xpred.flatten(), ypred - ystd, ypred + ystd, \n", " color='b', alpha=0.2, label=f'$1\\,\\sigma$ confidence')\n", "plt.xlim(*sm.bounds)\n", "plt.ylim(-4,5)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1bb09bba", "metadata": {}, "source": [ "## Run Bayesian Optimization with Jones Algorithm\n", "\n", "The Jones algorithm (Expected Improvement) is designed for optimization. It balances exploration (uncertainty) with exploitation (improving the current best)." ] }, { "cell_type": "code", "execution_count": 8, "id": "78f5e61d", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:05.072412Z", "iopub.status.busy": "2026-02-21T08:27:05.072232Z", "iopub.status.idle": "2026-02-21T08:27:09.020166Z", "shell.execute_reply": "2026-02-21T08:27:09.019690Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running 30 active learning iterations using jones...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/30 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xpred = np.linspace(-3, 3, 200).reshape(-1,1)\n", "ypred, yvar = sm.surrogate_log_likelihood(xpred, return_var=True)\n", "ystd = np.sqrt(yvar)\n", "\n", "fig = plot_function(x_plot, y_plot)\n", "plt.scatter(sm.theta(), sm.y(), color='blue', s=50, label='Training Points')\n", "plt.plot(xpred.flatten(), ypred, 'b--', linewidth=2, label='GP mean', alpha=0.8)\n", "plt.fill_between(xpred.flatten(), ypred - ystd, ypred + ystd, \n", " color='b', alpha=0.2, label=f'$1\\,\\sigma$ confidence')\n", "plt.xlim(*sm.bounds)\n", "plt.ylim(-4,5)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "22699b2e", "metadata": {}, "source": [ "## Visualize the Optimization Process\n", "\n", "Let's create a visualization showing the true function, the GP surrogate model, and the points selected by the Jones algorithm." ] }, { "cell_type": "code", "execution_count": 10, "id": "838695b0", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:09.166972Z", "iopub.status.busy": "2026-02-21T08:27:09.166792Z", "iopub.status.idle": "2026-02-21T08:27:09.644897Z", "shell.execute_reply": "2026-02-21T08:27:09.644185Z" } }, "outputs": [], "source": [ "# Get GP predictions over the domain\n", "xpred = np.linspace(-3, 3, 200).reshape(-1,1)\n", "\n", "x_best_iter, y_best_iter = [], []\n", "for it in range(sm.nactive):\n", " ypred, yvar = sm.surrogate_log_likelihood(xpred, iter=it, return_var=True)\n", " ystd = np.sqrt(yvar)\n", "\n", " best_idx = np.argmax(ypred)\n", " best_x = xpred[best_idx]\n", " best_f = ypred[best_idx]\n", " \n", " x_best_iter.append(best_x)\n", " y_best_iter.append(best_f)\n", "\n", "true_optimum_idx = np.argmax(y_plot)\n", "true_optimum_x = x_plot[true_optimum_idx]\n", "true_optimum_f = y_plot[true_optimum_idx]" ] }, { "cell_type": "code", "execution_count": 11, "id": "f48434b5", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:27:09.651064Z", "iopub.status.busy": "2026-02-21T08:27:09.650907Z", "iopub.status.idle": "2026-02-21T08:27:09.946026Z", "shell.execute_reply": "2026-02-21T08:27:09.945339Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Final iteration prediction\n", "ypred, yvar = sm.surrogate_log_likelihood(xpred, iter=-1, return_var=True)\n", "ystd = np.sqrt(yvar)\n", "\n", "plt.figure(figsize=(12,10))\n", "\n", "# Plot true function\n", "plt.subplot(2, 1, 1)\n", "plt.plot(x_plot, y_plot, 'k-', linewidth=2, label='True function', alpha=0.8)\n", "\n", "# Plot GP mean and uncertainty\n", "plt.plot(xpred.flatten(), ypred, 'b--', linewidth=2, label='GP mean', alpha=0.8)\n", "plt.fill_between(xpred.flatten(), ypred - ystd, ypred + ystd, \n", " color='b', alpha=0.2, label=f'$1\\,\\sigma$ confidence')\n", "\n", "# Plot training points\n", "plt.scatter(sm.theta(), sm.y(), \n", " c='b', s=60, zorder=5, label='Training points', edgecolor='black')\n", "\n", "# Highlight the best point\n", "plt.scatter(best_x, best_f, c='green', s=250, marker='*', \n", " zorder=6, label='Best point found', edgecolor='black')\n", "\n", "# Highlight true optimum\n", "plt.scatter(true_optimum_x, true_optimum_f, c='red', s=250, marker='*', \n", " zorder=6, label='True optimum', edgecolor='black')\n", "\n", "plt.xlabel('x', fontsize=20)\n", "plt.ylabel('f(x)', fontsize=20)\n", "plt.xlim(*sm.bounds)\n", "plt.ylim(-4,5)\n", "plt.title('Bayesian Optimization with Jones Algorithm', fontsize=16)\n", "plt.legend(loc='upper left', fontsize=18)\n", "plt.grid(True, alpha=0.3)\n", "\n", "# Plot convergence history\n", "plt.subplot(2, 1, 2)\n", "plt.plot(range(len(y_best_iter)), y_best_iter, 'b-o', linewidth=2, markersize=4, label=\"Predicted optimum\")\n", "plt.axhline(y=true_optimum_f, color='k', linestyle='--', label='True optimum')\n", "plt.plot(range(sm.nactive), sm.y()[sm.ninit_train:], \"g-o\", linewidth=1, markersize=4, label=\"Newest training point\")\n", "plt.xlabel('Function Evaluation', fontsize=20)\n", "plt.ylabel('Best f(x) Found', fontsize=20)\n", "plt.title('Convergence History', fontsize=20)\n", "plt.legend(loc=\"lower right\", fontsize=18)\n", "plt.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3b325254", "metadata": {}, "source": [ "## Summary\n", "\n", "This example demonstrates how to use alabi for Bayesian optimization:\n", "\n", "1. **Problem Setup**: We defined a 1D multimodal function with multiple local maxima\n", "2. **Surrogate Model**: Created a `SurrogateModel` with the function and parameter bounds\n", "3. **Initialization**: Started with a small set of random training points\n", "4. **Optimization**: Used the Jones algorithm (Expected Improvement) to iteratively select new points\n", "5. **Results**: The algorithm successfully found the global maximum with high accuracy\n", "\n", "The Jones algorithm is particularly effective for optimization because it:\n", "- **Exploits** known good regions (high function values)\n", "- **Explores** uncertain regions (high GP variance)\n", "- **Balances** these two objectives through the Expected Improvement criterion\n", "\n", "This approach is much more efficient than random search or grid search, especially for expensive function evaluations." ] }, { "cell_type": "markdown", "id": "d9080125", "metadata": {}, "source": [ "### Things to try next:\n", "\n", "- Different kernel functions (`ExpSquaredKernel`, `Matern32Kernel`, `Matern52Kernel`)\n", "- Increase the number of training samples\n", "- Run multiple trials for each setting to test how robust the training is to random sampling" ] }, { "cell_type": "markdown", "id": "6995781a", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "py314", "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": "3.14.2" } }, "nbformat": 4, "nbformat_minor": 5 }