{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization with a priori unknown constraints" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we are optimizing for some experiment, the planner needs a way to deal with possible infeasible areas. This may be due to instrumentation limits, or perhaps unmeasureable recommendations. For example, a synthesis reaction may fail, and it would not be possible to produce a yield measurement for a particular set of reagents. \n", "\n", "The default approach is the naive approach, which simply puts in a bad score for the infeasible point. More advanced *feasibility-aware* acqusition functions are available in Atlas. The details are mostly unchanged, only requiring a few additional arguments.\n", "\n", "More details are provided in the manuscript; here we use the feasibility classifier acquisition (FCA)." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "import pickle\n", "import pandas as pd\n", "import seaborn as sns\n", "import numpy as np\n", "\n", "from olympus import Campaign, Surface\n", "from matplotlib.colors import LinearSegmentedColormap, ListedColormap\n", "import matplotlib.pyplot as plt\n", "from atlas.unknown_constraints.benchmark_functions import BraninConstr\n", "from atlas.planners.gp.planner import GPPlanner\n", "\n", "\n", "sns.set(style='ticks', context='notebook', font_scale=1.2)\n", "from cmcrameri import cm" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "## helper functions\n", "# Golem colormap\n", "_reference_colors = ['#008080', '#70a494', '#b4c8a8', '#f6edbd', '#edbb8a', '#de8a5a','#ca562c']\n", "_cmap = LinearSegmentedColormap.from_list('golem', _reference_colors)\n", "_cmap_r = LinearSegmentedColormap.from_list('golem_r', _reference_colors[::-1])\n", "\n", "cmap = cm.nuuk\n", "\n", "def get_golem_colors(n):\n", " _cmap = plt.get_cmap('golem')\n", " return [_cmap(x) for x in np.linspace(0, 1, n)]\n", "\n", "def plot_contour(ax, X0, X1, y, xlims, ylims, vlims=[None, None], alpha=0.5, contour_lines=True, contour_labels=True, \n", " labels_fs=8, labels_fmt='%d', n_contour_lines=8, contour_color='k', contour_alpha=1, cbar=False, cmap=cmap):\n", " # background surface\n", " if contour_lines is True:\n", " contours = ax.contour(X0, X1, y, n_contour_lines, colors=contour_color, alpha=contour_alpha, linestyles='dashed')\n", " if contour_labels is True:\n", " _ = ax.clabel(contours, inline=True, fontsize=labels_fs, fmt=labels_fmt)\n", " mappable = ax.imshow(y, extent=[xlims[0],xlims[1],ylims[0],ylims[1]], \n", " origin='lower', cmap=cmap, alpha=alpha, vmin=vlims[0], vmax=vlims[1])\n", " \n", " if cbar is True:\n", " cbar = plt.colorbar(mappable=mappable, ax=ax, shrink=0.5)\n", " \n", " return mappable\n", "\n", "def plot_constr_surface(surface, ax=None, N=100):\n", " \n", " if ax is None:\n", " fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(5,5))\n", "\n", " x0 = np.linspace(0,1,N)\n", " x1 = np.linspace(0,1,N)\n", " X0, X1 = np.meshgrid(x0,x1)\n", " X = np.array([X0.flatten(), X1.flatten()]).T\n", " y = np.array(surface.run(X)).flatten()\n", " Y = np.reshape(y, newshape=np.shape(X0))\n", "\n", " _ = plot_contour(ax, X0, X1, Y, xlims=[0,1], ylims=[0,1], alpha=1, contour_lines=True, contour_labels=True, \n", " labels_fs=8, labels_fmt='%d', n_contour_lines=8, contour_alpha=0.8, cbar=False, cmap=cmap) #'golem'\n", " for param in surface.minima:\n", " x_min = param['params']\n", " ax.scatter(x_min[0], x_min[1], s=200, marker='*', color='#ffc6ff', zorder=20)\n", " \n", " y_feas = np.array(surface.eval_constr(X))\n", " Y_feas = np.reshape(y_feas, newshape=np.shape(X0))\n", " ax.imshow(Y_feas, extent=[0,1,0,1], origin='lower', cmap='gray', alpha=0.5, interpolation='none')\n", " \n", " \n", "def plot_constr_surface_with_scatter(ax, surface, data, repeat=0):\n", "\n", " if ax is None:\n", " fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(5,5))\n", " plot_constr_surface(surface, ax=ax, N=100)\n", "\n", " repeat = 0\n", " X = data[repeat].loc[:, ['x0', 'x1']]\n", " mask = surface.eval_constr(X.to_numpy())\n", " # mask = np.array([surface.is_feasible(x) for x in X])\n", " X_feas = X[mask]\n", " X_infs = X[~mask]\n", "\n", " ax.scatter(X_feas['x0'], X_feas['x1'], marker='X', s=100, color='#adb5bd', edgecolor='k', zorder=10)\n", " ax.scatter(X_infs['x0'], X_infs['x1'], marker='X', s=100, color='white', edgecolor='k', zorder=10)\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We begin the optimization here. We use the Branin-Hoo function with constraints. The constraints are designed to cover some of the local minima, so that really, there is only a single feasible minima that the BO surrogate should aim to find." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "BUDGET = 100\n", "NUM_INIT_DESIGN = 10" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# load the constrained branin surface\n", "# there are regions that are infeasible\n", "surface = BraninConstr()\n", "all_runs = []\n", "\n", "campaign = Campaign() \n", "campaign.set_param_space(surface.param_space)\n", "\n", "planner = GPPlanner(\n", " goal='minimize',\n", " feas_strategy='fca', # feasibility strategy\n", " feas_param=0.2, # parameter used by the strategy\n", " acquisition_type='ucb',\n", " acquisition_optimizer_kind='pymoo',\n", ") # instantiate Atlas planner\n", "\n", "\n", "planner.set_param_space(surface.param_space)\n", "while len(campaign.observations.get_values()) < BUDGET:\n", " samples = planner.recommend(\n", " campaign.observations\n", " ) # ask planner for parameters (list of ParameterVectors)\n", " for sample in samples:\n", " measurement = surface.run_constr(sample) # measure constrained Branin-Hoo function\n", " campaign.add_observation(\n", " sample, measurement\n", " ) # tell planner about most recent observation\n", "\n", "x0_col = campaign.observations.get_params()[:, 0]\n", "x1_col = campaign.observations.get_params()[:, 1]\n", "\n", "df = pd.DataFrame({\n", " 'x0': x0_col,\n", " 'x1': x1_col,\n", " 'obj': campaign.observations.get_values()\n", "})\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the recommendations on the constrained surface, we see that the method successfully avoids the regions of infeasibility (the circular shaded area), and finds the optimum that is still feasible.\n", "\n", "We also plot the best value as well." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Best value found in BO')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# process the dataframe\n", "df['Best value'] = df['obj'].cummin()\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "# surface with observations\n", "plot_constr_surface_with_scatter(axes[0], surface, [df], repeat=0)\n", "axes[0].set_xlabel(r'$x_0$', fontsize=15)\n", "axes[0].set_ylabel(r'$x_1$', fontsize=15)\n", "axes[0].set_title('BraninConstr', fontsize=15)\n", "\n", "sns.lineplot(data=df, x=df.index, y='Best value')\n", "axes[1].set_xlabel(r'Evaluations', fontsize=15)\n", "axes[1].set_title('Best value found in BO', fontsize=15)\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "atlas", "language": "python", "name": "atlas" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }