{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced introduction" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from golem import *\n", "\n", "import numpy as np\n", "import pandas as pd\n", "from matplotlib import pyplot as plt\n", "import matplotlib\n", "%matplotlib inline\n", "\n", "import seaborn as sns\n", "sns.set(context='talk', style='ticks')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Uncertainty functions implemented in Golem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we plot some of the probability densities readily availale in ``Golem``." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "uniform = Uniform(urange=0.2)\n", "normal = Normal(std=0.2)\n", "gamma = Gamma(std=0.2, low_bound=0)\n", "truncated_normal = TruncatedNormal(std=0.2, low_bound=0, high_bound=2)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-0.5, 2.5, 1000)\n", "locs = np.array([0, 0.5, 1, 1.5, 2])\n", "\n", "for loc in locs:\n", " y = [uniform.pdf(x=xi, loc=loc) for xi in x]\n", " plt.plot(x, y, label=loc)\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for loc in locs:\n", " y = [normal.pdf(x=xi, loc=loc) for xi in x]\n", " plt.plot(x, y, label=loc)\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for loc in locs:\n", " y = [gamma.pdf(x=xi, loc=loc) for xi in x]\n", " plt.plot(x, y, label=loc)\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for loc in locs:\n", " y = [truncated_normal.pdf(x=xi, loc=loc) for xi in x]\n", " plt.plot(x, y, label=loc)\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## One-dimensional example" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def objective(x):\n", "\n", " def sigmoid(x, l, k, x0):\n", " return l / (1 + np.exp(-k*(x-x0)))\n", "\n", " sigs = [sigmoid(x, 1, 100, 0.1),\n", " sigmoid(x, -1, 100, 0.2),\n", " sigmoid(x, 0.7, 80, 0.5),\n", " sigmoid(x, -0.7, 80, 0.9)\n", " ]\n", " return np.sum(sigs, axis=0)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 1, 1000)\n", "_ = plt.plot(x, objective(x), linewidth=5, label='Objective function')\n", "_ = plt.xlabel('$x$')\n", "_ = plt.ylabel('$f(x)$')\n", "_ = plt.legend(loc='lower center', ncol=2, bbox_to_anchor=(0.5 ,1.), frameon=False)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;37m[INFO] Golem ... 1 tree(s) parsed in 66.15 ms ...\n", "\u001b[0m\u001b[0;37m[INFO] Golem ... Convolution of 1000 samples performed in 20.35 ms ...\n", "\u001b[0m" ] } ], "source": [ "# we consider 1000 samples in x\n", "x = np.linspace(0, 1, 1000)\n", "y = objective(x)\n", "\n", "# initialise Golem\n", "golem = Golem(goal='max', random_state=42, nproc=1)\n", "\n", "# fit the Golem surrogate model - note the argument X takes a 2D array, like the sklearn models\n", "golem.fit(X=x.reshape(-1,1), y=y)\n", "\n", "# estimate the robust merits for the same 1000 samples\n", "dists = [Normal(std=0.1)] # ==> input uncertainty\n", "y_robust = golem.predict(X=x.reshape(-1,1), distributions=dists)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, linewidth=5, label='Objective')\n", "plt.plot(x, y_robust, linewidth=5, label='Robust Objective')\n", "\n", "# identidy the max locations\n", "plt.scatter(x[np.argmax(y)], np.max(y), zorder=10, s=200, marker='X', edgecolor='k', label='Max', linewidth=2)\n", "plt.scatter(x[np.argmax(y_robust)], np.max(y_robust), zorder=10, s=200, marker='X', edgecolor='k', label='Robust Max', linewidth=2)\n", "\n", "_ = plt.legend(loc='lower center', ncol=2, bbox_to_anchor=(0.5 ,1.), frameon=False)\n", "_ = plt.xlabel('$x$')\n", "_ = plt.ylabel('$f(x)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Two-dimensional example" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def objective2d(x0, x1): \n", " fx0 = 10 / (1 + 0.3 * np.exp(6 * x0)) + 0.1 * np.abs(2 * x0**2)\n", " fx1 = 10 / (1 + 0.3 * np.exp(6 * x1)) + 0.1 * np.abs(2 * x1**2)\n", " return fx0 + fx1" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;37m[INFO] Golem ... 1 tree(s) parsed in 247.07 ms ...\n", "\u001b[0m\u001b[0;37m[INFO] Golem ... Convolution of 2601 samples performed in 728.67 ms ...\n", "\u001b[0m" ] } ], "source": [ "N = 51\n", "dists = [Normal(1), Normal(1)]\n", "\n", "# prepare data grid\n", "x0 = np.linspace(0, 5, N)\n", "x1 = np.linspace(0, 5, N)\n", "X0, X1 = np.meshgrid(x0, x1)\n", "Y = objective2d(X0, X1)\n", "\n", "# put into dataframe\n", "Xy = pd.DataFrame({'x0': X0.flatten(), 'x1': X1.flatten(), 'y': Y.flatten()})\n", "X = Xy.iloc[:, :-1]\n", "y = Xy.iloc[:, -1:]\n", "\n", "# compute robust surface\n", "golem = Golem(ntrees=1, random_state=42, nproc=1)\n", "golem.fit(X=X, y=y)\n", "y_robust = golem.predict(X=X, distributions=dists)\n", "Y_robust = np.reshape(y_robust, newshape=np.shape(X0))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def plot_contour(ax, X0, X1, y, xlims, ylims, vlims=[None, None], alpha=0.5, contour_lines=True, contour_labels=True, \n", " labels_fs=12, labels_fmt='%d', n_contour_lines=8, contour_color='k', contour_alpha=1, cbar=False, cmap='RdBu_r'):\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)\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", " # mark minima\n", " ax.scatter([X0.flatten()[np.argmin(y)]], [X1.flatten()[np.argmin(y)]], \n", " s=200, color='white', linewidth=1, edgecolor='k', marker='*', zorder=20)\n", " \n", " ax.set_aspect('equal', 'box')\n", " return mappable" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(10, 5))\n", "\n", "_ = plot_contour(ax1, X0, X1, Y, [0, 5], [0, 5], cbar=True)\n", "_ = plot_contour(ax2, X0, X1, Y_robust, [0, 5], [0, 5], cbar=True)\n", "\n", "_ = ax1.set_title('objective')\n", "_ = ax2.set_title('robust objective')\n", "_ = ax1.set_xlabel('x0')\n", "_ = ax1.set_ylabel('x1')\n", "_ = ax2.set_xlabel('x0')\n", "_ = ax2.set_ylabel('x1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimate using a 8x8 grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the examples above, we used a very dense grid. However, in practice, one typically has to estimate the robust objective surface from a limited number of evaluations of the objective function. First, we fit ``Golem`` using the 64 available samples..." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;37m[INFO] Golem ... 1 tree(s) parsed in 4.64 ms ...\n", "\u001b[0m" ] } ], "source": [ "# we assume normally distributed uncertainty in both dimensions with stddev=1\n", "# You can change this to see how it affects the results, e.g. if you use std=0.1 vs 10\n", "dists = [Normal(std=1), Normal(std=1)] \n", "\n", "N = 8 # ==> use 8x8 grid to fit Golem model...\n", "x0 = np.linspace(0, 5, N)\n", "x1 = np.linspace(0, 5, N)\n", "X0, X1 = np.meshgrid(x0, x1)\n", "Y = objective2d(X0, X1)\n", "\n", "# put into dataframe\n", "Xy = pd.DataFrame({'x0': X0.flatten(), 'x1': X1.flatten(), 'y': Y.flatten()})\n", "X_train = Xy.iloc[:, :-1]\n", "y_train = Xy.iloc[:, -1:]\n", "\n", "# compute robust surface\n", "golem = Golem(ntrees=1, random_state=42, nproc=1)\n", "golem.fit(X=X_train, y=y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...then, we use the ``predict`` method to estimate the whole robust surface." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;37m[INFO] Golem ... Convolution of 10000 samples performed in 82.77 ms ...\n", "\u001b[0m" ] } ], "source": [ "# ==> now predict whole surface on 100x100 grid\n", "N = 100 \n", "\n", "# prepare data grid\n", "x0 = np.linspace(0, 5, N)\n", "x1 = np.linspace(0, 5, N)\n", "X0, X1 = np.meshgrid(x0, x1)\n", "Y = objective2d(X0, X1)\n", "\n", "# put into dataframe\n", "X_pred = pd.DataFrame({'x0': X0.flatten(), 'x1': X1.flatten()})\n", "\n", "# expectation of the objective\n", "y_robust = golem.predict(X=X_pred, distributions=dists)\n", "Y_robust = np.reshape(y_robust, newshape=np.shape(X0))\n", "\n", "# stddev of the objective\n", "y_robust_std = golem.std_robust\n", "Y_robust_std = np.reshape(y_robust_std, newshape=np.shape(X0))\n", "\n", "# tree-based surrogate model used by Golem\n", "y_surrogate = golem.forest.predict(X_pred)\n", "Y_surrogate = np.reshape(y_surrogate, newshape=np.shape(X0))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2, ax3, ax4) = plt.subplots(nrows=1, ncols=4, figsize=(15, 5), sharex=True, sharey=True)\n", "\n", "_ = plot_contour(ax1, X0, X1, Y, [0, 5], [0, 5])\n", "_ = plot_contour(ax2, X0, X1, Y_surrogate, [0, 5], [0, 5], contour_lines=False)\n", "_ = plot_contour(ax3, X0, X1, Y_robust, [0, 5], [0, 5])\n", "_ = plot_contour(ax4, X0, X1, Y_robust_std, [0, 5], [0, 5])\n", "\n", "ax1.set_title('true objective\\nwith 8x8 grid samples')\n", "ax2.set_title('surrogate model\\nestimate from 8x8 grid')\n", "ax3.set_title('robust surrogate\\nestimate from 8x8 grid')\n", "ax4.set_title('stddev of robust surrogate\\nestimate from 8x8 grid')\n", "\n", "ax1.scatter(X_train['x0'], X_train['x1'], s=50, marker='x', color='k', linewidth=2, label='grid samples')\n", "\n", "_ = ax1.set_xlabel('x0')\n", "_ = ax2.set_xlabel('x0')\n", "_ = ax3.set_xlabel('x0')\n", "_ = ax4.set_xlabel('x0')\n", "_ = ax1.set_ylabel('x1')\n", "\n", "_ = ax1.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Description of the 4 plots above, from left to right:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. 2D surface representing the objective function (blue=better, red=worse). We assume we sampled only 64 points from this surface and we provide this to Golem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. ``Golem`` builds a surrogate model of the objective function based on the 64 samples using a tree-based model. In this case, a single regression tree, but one can also choose e.g. random forest." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3. ``Golem`` then uses its surrogate model, together with the specified uncertainty, to \"transform\" the surrogate into a model of the robust surrogate, which represents the average-case performance of each specific input given the specified uncertainty. We can see that the optimum is shifted away from the \"cliff\" at low values of ``x0`` and ``x1``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "4. Finally, Golem can also estimate the expected variance/stddev of the output, i.e. how much is the output going to vary if we choose specific ``(x0, x1)`` values (and assuming the specified uncertainty). Here we can see that low values of ``x0`` and ``x1`` have the higher variance, because we are close to the cliff, while for pretty values of ``x0>2`` and ``x1>2``, one can expect lower output variability." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "golem", "language": "python", "name": "golem" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }