{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GPyOpt: parallel Bayesian optimization\n", "\n", "### Written by Javier Gonzalez, University of Sheffield.\n", "\n", "*Last updated Tuesday, 15 March 2016.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this noteboook we are going to learn how to use GPyOpt to run parallel BO methods. The goal of these approaches is to make use of all the computational power or our machine to perform the optimization. For instance, if we hace a computer with 4 cores, we may want to make 4 evaluations of $f$ in parallel everytime we test the performance of the algorithm. \n", "\n", "In this notebook we will use the **Local Penalization** method describe in the paper *Batch Bayesian Optimization via Local Penalization*." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML \n", "HTML('')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/gojav/anaconda/lib/python3.5/site-packages/matplotlib/__init__.py:1350: UserWarning: This call to matplotlib.use() has no effect\n", "because the backend has already been chosen;\n", "matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n", "or matplotlib.backends is imported for the first time.\n", "\n", " warnings.warn(_use_error_msg)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "warning in stationary: failed to import cython module: falling back to numpy\n", "warning in stationary: failed to import cython module: falling back to numpy\n" ] } ], "source": [ "%pylab inline \n", "import GPyOpt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in previous examples we use a synthetic objective function but you can think about doing the same with any function you like. In this case, we use the Branin function. For the optimization we will perturb the evaluations with Gaussian noise with sd = 0.1." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# --- Objective function\n", "objective_true = GPyOpt.objective_examples.experiments2d.branin() # true function\n", "objective_noisy = GPyOpt.objective_examples.experiments2d.branin(sd = 0.1) # noisy version\n", "bounds = objective_noisy.bounds " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "domain = [{'name': 'var_1', 'type': 'continuous', 'domain': bounds[0]}, ## use default bounds\n", " {'name': 'var_2', 'type': 'continuous', 'domain': bounds[1]}]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SbIzw27Fz0vz62rSfEcKkb88phlqkk9pKpiH5pp/+ZftmPuX++fl+8g45CpWN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "objective_true.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in previous cases, we create a GPyOpt object with the desing space and fucntion to optimize. In this case we need to select the evaluator type, which in this case is the *local penalization method* the batch size and the number of cores that we want to use. The evaluation of the function will be splitted accross the available cores." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "batch_size = 4\n", "num_cores = 4" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from numpy.random import seed\n", "seed(123)\n", "BO_demo_parallel = GPyOpt.methods.BayesianOptimization(f=objective_noisy.f, \n", " domain = domain, \n", " acquisition_type = 'EI', \n", " normalize_Y = True,\n", " initial_design_numdata = 10,\n", " evaluator_type = 'local_penalization',\n", " batch_size = batch_size,\n", " num_cores = num_cores,\n", " acquisition_jitter = 0) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will optimize this function by running 10 parallel evaluations in 3 cores of our machine. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [], "source": [ "# --- Run the optimization for 10 iterations\n", "max_iter = 10 \n", "BO_demo_parallel.run_optimization(max_iter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the resutls. Observe that the final number of evaluations that we will make is $10*4=40$. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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xrNd3T+8X2AZf0rjxIb/NA5PZg5frk+tnKKrto19Ac9vKBDSCsoiABotimf8N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Uwm0wyxIZxgv48I7Utvd5/9uAUwTKNdp8o8s53CebYAPLvXx/+guIF+qdLmZykczs8EdvTanAm8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\nxvk7W01y3rCk/eHjYdGsrV2CV1n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AdweeDwEzwCu7/dlp699Ndqbl9WprZ5rjqYWtqYud\naY6lVramTnam+dqyNdq6vtXZzjTH1zFbIzuTehyyM9HjkZ1ZIps8zzJgjBkB/gJ4Ld6PrW6sAx7r\nxAs1XakvBL7l77Pef+LNwMWdGEMC6/BU9458Hgl8Bthprf12l8exA/iBMeZLTTfwO4wxv93lMX0f\nuNQYsw3AGHM+8CzgG10dlTeWc/BKIQd/44eBXdTjNy76ENmZRXrAzkB9bE1d7AzUz9bU1s6AbI3o\nPD1gZ6BDtkZ2JhOyM9HIziwRTur2AHqMvwSusdbeaYx5QrcHE6QZs/x24Hc79JLrgeXA/tD+/cCT\nOjQGJ8YYA/wZ8F1r7d1dHstvABcAT+/mOJpsAX4HzzX9j/Bcdv/cGDNnrb2hS2P6KN6dj58YY07g\nhZL/F2vt/+rSeIJsxLtYcf3GN3Z+OGKJIDuzSG3tDNTH1tTMzkD9bE2d7QzI1ojOU1s7Ax23NbIz\n6cYhOxOP7MwSYcl7nhljPtJMqhe1nTDGPNEY8048d9WP+ad2czyhc84Evgn8jbX2C1WMq8e4Bi9n\nwm90cxDGmE14Bu83rbXHujmWJsuA2621/9Vae5e19jrgOry8Et3iVcBr8L6rpwKvA37PGHNFF8ck\nRKnIzvQtXbc1NbQzUD9bIzsj+p662ZksYwqdI1vTiuyMG9kZ0RXkeQZ/incHJo57gefjuTXOeTcB\nFviBMeZ/Wmtf38Hx7PUfGGPOAL6Nd0fiLSWNIQ0HgBPASGj/CPBIB8fRgjHm08CLgedYax/u1jia\nXAicBtxhFn80y4HnGi+B5Mqma3ineBgYC+0bA17ewTGE+WPgI9ba/918/m/GmM3AVUC3vOF8HsG7\nqByh9U7NCHBnV0YkehXZmXzU0s5ArWxN3ewM1M/W1NnOgGyNKIe62Zm0Y+q2rZGdSUZ2JhnZmSXC\nkhfPrLUTwERSO2PMO4D/Eth1BnAT8Ergtk6PpzmmM/GMzL8AbyhrDGmw1h4zxtwOXAp8rTke03z+\n550ci0/TyLwM+CVr7f3dGEOIm4Enh/Zdjze5f7QLhuZ7tLugPwm4r8PjCDKAd9ESZJ4aeMVaa+81\nxjyC95v+EYAxZgiv+tFnujk20VvIzuSjjnamOYY62Zq62Rmon62prZ0B2RpRDnWzM1nG1BxXV2yN\n7EwqZGeSkZ1ZIix58Swt1toHgs+NMVN4Cu5ea+1DnR5P8+7Md/DuIr0P2ODfDLDWhuOZq+Jq4Pqm\n0bkNr7T0AN6E2lGMMdcArwYuB6aMlwwVYNJaO9vp8QBYa6eAlvwEzd/NhLU2fLekE3wC+J4x5irg\nS3gT5m/jlQbvFjuBPzDGPIBX9elpeL+jz3XixY0xg8BWFsMWthgvyedj1tqf47mp/4ExZg+wD/gw\nXgWmv+vE+MTSQnbGSW3sDNTP1tTQzkD9bE1X7QzI1oj6UDc70xxDt22N7EwMsjOpkJ1ZKnSqrGe/\nbcAT8BTmrpR2xoulPhHa5oETHR7HW/H+AWeAW4Cnd+nzmHd8HieA/9jt30ponN+mu6WdX4x3x2Ea\nb3J/Q5c/j0G8i5Z7gSlgN/CHwEkdev1fivjtfCHQ5oN45Z2n8e7Obu3270jb0thkZxbGUQs70xxL\n7W1Nt+1Mcwy1sTXdtjPNMcjWaKvl1m070xxD122N7EzmMcrOtI5FdmaJbKb5QQohhBBCCCGEEEII\nIULUIg5XCCGEEEIIIYQQQog6IvFMCCGEEEIIIYQQQogIJJ4JIYQQQgghhBBCCBGBxDMhhBBCCCGE\nEEIIISKQeCaEEEIIIYQQQgghRAQSz4QQQgghhBBCCCGEiEDimRBCCCGEEEIIIYQQEUg8E0IIIYQQ\nQgghhBAiAolnQgghhBBCCCGEEEJEIPFMCCGEEEIIIYQQQogIJJ6JvsQYs8wY8z1jzFdC+4eMMfcb\nYz7cfP5JY8wPjDGzxpg7ujNaIYQQvYhsjRBCiCqRnRGiPkg8E32JtXYe+C3ghcaYVwcOfRqYAD7o\nNwU+D/yvTo5PCCFE7yNbI4QQokpkZ4SoDyd1ewBCVIW1drcx5irg08aYbwPPBF4JPN1ae6LZ5l0A\nxpgNwFO6NlghhBA9iWyNEEKIKpGdEaIeSDwTfY219lPGmF8D/gp4MvCH1tp/7fKwhBBC9BGyNUII\nIapEdkaI7iPxTCwF3gqMAT8CPtblsQghhOhPZGuEEEJUieyMEF1EOc/EUuCNwBRwDrCpy2MRQgjR\nn8jWCCGEqBLZGSG6iMQz0dcYYy4B/hPwUuA24AvdHZEQQoh+Q7ZGCCFElcjOCNF9JJ6JvsUY0wD+\nErjGWvtPwG8DzzDGvKW7IxNCCNEvyNYIIYSoEtkZIeqBxDPRz3y0+fcqAGvtfcDvAX9ijDkbwBhz\nrjHmAuB0oGGMOb+5KR+gEEKINMjWCCGEqBLZGSFqgLHWdnsMQpSOMea5wM3AL1lrbwkd+yZwkrX2\nMmPMPwLPdXRxjrX2/g4MVQghRI8iWyOEEKJKZGeEqA8Sz4QQQgghhBBCCCGEiEBhm0IIIYQQQggh\nhBBCRCDxTAghhBBCCCGEEEKICCSeCSGEEEIIIYQQQggRgcQzIYQQQgghhBBCCCEikHgmhBBCCCGE\nEEIIIUQEEs+EEEIIIYQQQgghhIhA4pkQQgghhBBCCCGEEBFIPBNCCCGEEEIIIYQQIgKJZ0IIIYQQ\nQgghhBBCRCDxTAghhBBCCCGEEEKICCSeCSGEEEIIIYQQQggRwf8PeMR9WNcU4DoAAAAASUVORK5C\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BO_demo_parallel.plot_acquisition()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See how the method explores the space using the four parallel evaluations of $f$ and it is able to identify the location of the three minima. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Tiya80ZlB/JxW2yv83uJjrXo/zrl9ZrYOr/Fx+L70P8MX/GbgLfibio0F5jKv2zX4py1x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\n445lfdq0D1a021nY9ap0x6uRx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BO_demo_parallel.plot_convergence()" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }