{ "cells": [ { "cell_type": "markdown", "id": "8090d4b2", "metadata": {}, "source": [ "## GP Training\n", "\n", "This notebook demonstrates how to train a Gaussian process surrogate model using `alabi` and visualize the results." ] }, { "cell_type": "code", "execution_count": 1, "id": "fd59f3c4", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:36.947244Z", "iopub.status.busy": "2026-02-21T08:36:36.947102Z", "iopub.status.idle": "2026-02-21T08:36:37.871935Z", "shell.execute_reply": "2026-02-21T08:36:37.871171Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from alabi import SurrogateModel\n", "\n", "from matplotlib import rcParams\n", "# rcParams['font.family'] = 'serif'\n", "# rcParams['text.usetex'] = True" ] }, { "cell_type": "markdown", "id": "f09269d2", "metadata": {}, "source": [ "### Define a Test Problem: Rosenbrock Function\n", "\n", "We'll use the 2D Rosenbrock function as our test case. This is a common benchmark function for optimization and sampling algorithms." ] }, { "cell_type": "code", "execution_count": 2, "id": "6ac97326", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:37.873674Z", "iopub.status.busy": "2026-02-21T08:36:37.873375Z", "iopub.status.idle": "2026-02-21T08:36:37.876385Z", "shell.execute_reply": "2026-02-21T08:36:37.875826Z" } }, "outputs": [], "source": [ "from scipy.optimize import rosen\n", "\n", "def rosenbrock_fn(x):\n", " return -rosen(x)/100.0\n", "\n", "bounds = [(-5,5), (-5,5)]\n", "param_names = ['x1', 'x2']\n" ] }, { "cell_type": "markdown", "id": "e2e35024", "metadata": {}, "source": [ "### Create and Train Surrogate Model\n", "\n", "First, we'll create a Gaussian Process surrogate model and train it using active learning." ] }, { "cell_type": "code", "execution_count": 3, "id": "cfa59c7f", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:37.877489Z", "iopub.status.busy": "2026-02-21T08:36:37.877367Z", "iopub.status.idle": "2026-02-21T08:36:37.929089Z", "shell.execute_reply": "2026-02-21T08:36:37.928458Z" } }, "outputs": [], "source": [ "# Initialize the surrogate model\n", "sm = SurrogateModel(\n", " lnlike_fn=rosenbrock_fn,\n", " bounds=bounds,\n", " savedir=\"results/rosenbrock_2d\",\n", " cache=True,\n", " verbose=True,\n", " ncore=1\n", ")\n", "\n", "# Compute initial training samples (parallelized if ncore > 1)\n", "sm.init_samples(ntrain=100, ntest=1000, sampler=\"lhs\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "218656ef", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:37.930736Z", "iopub.status.busy": "2026-02-21T08:36:37.930586Z", "iopub.status.idle": "2026-02-21T08:36:38.335847Z", "shell.execute_reply": "2026-02-21T08:36:38.335340Z" } }, "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" ] }, { "data": { "text/plain": [ "np.float64(0.32818955109651066)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Initialize the Gaussian Process with specified hyperparameters\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\": [-2,2],\n", " \"optimizer_kwargs\": {\"max_iter\": 50}}\n", "\n", "sm.init_gp(**gp_kwargs)" ] }, { "cell_type": "code", "execution_count": 5, "id": "9638e3b2", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:38.337230Z", "iopub.status.busy": "2026-02-21T08:36:38.337125Z", "iopub.status.idle": "2026-02-21T08:36:42.184197Z", "shell.execute_reply": "2026-02-21T08:36:42.183389Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running 100 active learning iterations using bape...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 18%|█▊ | 18/100 [00:00<00:01, 79.65it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Optimizing GP hyperparameters using 5-fold cross-validation...\n", "Evaluating 100 hyperparameter candidates using 5-fold CV...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 34%|███▍ | 34/100 [00:01<00:02, 30.14it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Train MSE: 0.08615299445103249\n", "Test MSE: 0.22178853386779387\n", "\n", "Optimizing GP hyperparameters using 5-fold cross-validation...\n", "Evaluating 100 hyperparameter candidates using 5-fold CV...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 47%|████▋ | 47/100 [00:01<00:02, 21.99it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Train MSE: 0.01934942381426072\n", "Test MSE: 0.06208639794078116\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 54%|█████▍ | 54/100 [00:02<00:01, 27.94it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Optimizing GP hyperparameters using 5-fold cross-validation...\n", "Evaluating 100 hyperparameter candidates using 5-fold CV...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 67%|██████▋ | 67/100 [00:02<00:01, 20.47it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Train MSE: 0.025494906994286665\n", "Test MSE: 0.07754018588855627\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 74%|███████▍ | 74/100 [00:03<00:00, 26.28it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Optimizing GP hyperparameters using 5-fold cross-validation...\n", "Evaluating 100 hyperparameter candidates using 5-fold CV...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 87%|████████▋ | 87/100 [00:03<00:00, 20.10it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Train MSE: 0.016752004784284708\n", "Test MSE: 0.06171883705728568\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 94%|█████████▍| 94/100 [00:04<00:00, 25.57it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Optimizing GP hyperparameters using 5-fold cross-validation...\n", "Evaluating 100 hyperparameter candidates using 5-fold CV...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 100/100 [00:05<00:00, 19.80it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Train MSE: 0.005139916256407242\n", "Test MSE: 0.025767640519879953\n", "Caching model to results/rosenbrock_2d/surrogate_model...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "al_kwargs={\"algorithm\": \"bape\", \n", " \"gp_opt_freq\": 20, \n", " \"obj_opt_method\": \"nelder-mead\", \n", " \"use_grad_opt\": True,\n", " \"nopt\": 1,\n", " \"optimizer_kwargs\": {\"max_iter\": 50, \"xatol\": 1e-3, \"fatol\": 1e-2, \"adaptive\": True}}\n", "\n", "sm.active_train(niter=100, **al_kwargs)" ] }, { "cell_type": "markdown", "id": "2df9d01c", "metadata": {}, "source": [ "Now you can use the trained GP surrogate model by calling the function `sm.surrogate_log_likelihood(theta)`" ] }, { "cell_type": "code", "execution_count": 6, "id": "404031b6", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:42.186097Z", "iopub.status.busy": "2026-02-21T08:36:42.185982Z", "iopub.status.idle": "2026-02-21T08:36:42.190104Z", "shell.execute_reply": "2026-02-21T08:36:42.189621Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True log-likelihood at [0. 0.]: -0.01\n", "Surrogate log-likelihood at [0. 0.]: 0.011069081707745454\n" ] } ], "source": [ "theta_test = np.array([0.0, 0.0])\n", "\n", "ytrue = sm.true_log_likelihood(theta_test)\n", "ysurrogate = sm.surrogate_log_likelihood(theta_test)\n", "\n", "print(f\"True log-likelihood at {theta_test}: {ytrue}\")\n", "print(f\"Surrogate log-likelihood at {theta_test}: {ysurrogate}\")" ] }, { "cell_type": "markdown", "id": "36f26d71", "metadata": {}, "source": [ "### Visualize the Surrogate Model\n", "\n", "Let's plot the surrogate model to see how well it captures the true function." ] }, { "cell_type": "code", "execution_count": 7, "id": "8fc4a70d", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:42.191165Z", "iopub.status.busy": "2026-02-21T08:36:42.191049Z", "iopub.status.idle": "2026-02-21T08:36:42.477152Z", "shell.execute_reply": "2026-02-21T08:36:42.476630Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting true function contours 2D...\n", "Saving to results/rosenbrock_2d/true_function_2D.png\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.plot(plots=[\"true_fn_2D\"])" ] }, { "cell_type": "code", "execution_count": 8, "id": "49c41667", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:42.478318Z", "iopub.status.busy": "2026-02-21T08:36:42.478166Z", "iopub.status.idle": "2026-02-21T08:36:44.497009Z", "shell.execute_reply": "2026-02-21T08:36:44.496575Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting gp fit 2D...\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.plot(plots=[\"gp_fit_2D\"])" ] }, { "cell_type": "markdown", "id": "22a6613b", "metadata": {}, "source": [ "We can also check how the active learning function looks at this iteration. If the model is closed to converged, we expect the high probability regions to be close to 0." ] }, { "cell_type": "code", "execution_count": 9, "id": "9dea11f4", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:44.498203Z", "iopub.status.busy": "2026-02-21T08:36:44.498102Z", "iopub.status.idle": "2026-02-21T08:36:45.015192Z", "shell.execute_reply": "2026-02-21T08:36:45.014722Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting objective function contours 2D...\n", "Saving to results/rosenbrock_2d/objective_function.png\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.plot(plots=[\"obj_fn_2D\"])" ] }, { "cell_type": "markdown", "id": "00d6b1ba", "metadata": {}, "source": [ "`alabi` also tracks various performance metrics as a function of active learning iteration. These results can be accessed from the dictionary:" ] }, { "cell_type": "code", "execution_count": 10, "id": "730b37d7", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:45.016404Z", "iopub.status.busy": "2026-02-21T08:36:45.016295Z", "iopub.status.idle": "2026-02-21T08:36:45.018875Z", "shell.execute_reply": "2026-02-21T08:36:45.018484Z" } }, "outputs": [ { "data": { "text/plain": [ "dict_keys(['iteration', 'gp_hyperparameters', 'gp_hyperparameter_opt_iteration', 'gp_hyperparam_opt_time', 'training_mse', 'test_mse', 'training_scaled_mse', 'test_scaled_mse', 'gp_kl_divergence', 'gp_train_time', 'obj_fn_opt_time', 'acquisition_optimizer_niter'])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.training_results.keys()" ] }, { "cell_type": "markdown", "id": "96dc657c", "metadata": {}, "source": [ "Here are some examples of quick plots you can make of these results:" ] }, { "cell_type": "code", "execution_count": 11, "id": "89dbdb61", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:45.019848Z", "iopub.status.busy": "2026-02-21T08:36:45.019747Z", "iopub.status.idle": "2026-02-21T08:36:45.718123Z", "shell.execute_reply": "2026-02-21T08:36:45.717710Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting gp hyperparameters...\n", "Saving to results/rosenbrock_2d/gp_hyperparameters_vs_iteration.png\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.plot(plots=[\"gp_hyperparameters\"])" ] }, { "cell_type": "code", "execution_count": 12, "id": "70a60503", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:45.719521Z", "iopub.status.busy": "2026-02-21T08:36:45.719378Z", "iopub.status.idle": "2026-02-21T08:36:46.165834Z", "shell.execute_reply": "2026-02-21T08:36:46.165370Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting the gp mean squared error with 1000 test samples...\n", "Saving to results/rosenbrock_2d/gp_mse_vs_iteration.png\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.plot(plots=[\"test_mse\"])" ] }, { "cell_type": "code", "execution_count": 13, "id": "16d11b5b", "metadata": { "execution": { "iopub.execute_input": "2026-02-21T08:36:46.167039Z", "iopub.status.busy": "2026-02-21T08:36:46.166936Z", "iopub.status.idle": "2026-02-21T08:36:46.635497Z", "shell.execute_reply": "2026-02-21T08:36:46.634985Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting the scaled gp mean squared error with 1000 test samples...\n", "Saving to results/rosenbrock_2d/gp_scaled_mse_vs_iteration.png\n" ] }, { "data": { "image/png": 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", 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