{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ "# Table of Contents\n", "

1  Simulated annealing in Python
1.1  References
1.2  See also
1.3  About
1.4  Algorithm
1.5  Basic but generic Python code
1.6  Basic example
1.7  Visualizing the steps
1.8  More visualizations
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulated annealing in Python\n", "\n", "This small notebook implements, in [Python 3](https://docs.python.org/3/), the [simulated annealing](https://en.wikipedia.org/wiki/Simulated_annealing) algorithm for numerical optimization.\n", "\n", "## References\n", "- The Wikipedia page: [simulated annealing](https://en.wikipedia.org/wiki/Simulated_annealing).\n", "- It was implemented in `scipy.optimize` before version 0.14: [`scipy.optimize.anneal`](https://docs.scipy.org/doc/scipy-0.15.1/reference/generated/scipy.optimize.anneal.html).\n", "- [This blog post](http://apmonitor.com/me575/index.php/Main/SimulatedAnnealing).\n", "- These Stack Overflow questions: [15853513](https://stackoverflow.com/questions/15853513/) and [19757551](https://stackoverflow.com/questions/19757551/).\n", "\n", "## See also\n", "- For a real-world use of simulated annealing, this Python module seems useful: [perrygeo/simanneal on GitHub](https://github.com/perrygeo/simanneal).\n", "\n", "## About\n", "- *Date:* 20/07/2017.\n", "- *Author:* [Lilian Besson](https://GitHub.com/Naereen), (C) 2017.\n", "- *Licence:* [MIT Licence](http://lbesson.mit-license.org).\n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> This notebook should be compatible with both Python versions, [2](https://docs.python.org/2/) and [3](https://docs.python.org/3/)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from __future__ import print_function, division # Python 2 compatibility if needed" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import numpy.random as rn\n", "import matplotlib.pyplot as plt # to plot\n", "import matplotlib as mpl\n", "\n", "from scipy import optimize # to compare\n", "\n", "import seaborn as sns\n", "sns.set(context=\"talk\", style=\"darkgrid\", palette=\"hls\", font=\"sans-serif\", font_scale=1.05)\n", "\n", "FIGSIZE = (19, 8) #: Figure size, in inches!\n", "mpl.rcParams['figure.figsize'] = FIGSIZE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", "## Algorithm\n", "\n", "The following pseudocode presents the simulated annealing heuristic.\n", "\n", "- It starts from a state $s_0$ and continues to either a maximum of $k_{\\max}$ steps or until a state with an energy of $e_{\\min}$ or less is found.\n", "- In the process, the call $\\mathrm{neighbour}(s)$ should generate a randomly chosen neighbour of a given state $s$.\n", "- The annealing schedule is defined by the call $\\mathrm{temperature}(r)$, which should yield the temperature to use, given the fraction $r$ of the time budget that has been expended so far." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **Simulated Annealing**:\n", "> \n", "> - Let $s$ = $s_0$\n", "> - For $k = 0$ through $k_{\\max}$ (exclusive):\n", "> + $T := \\mathrm{temperature}(k ∕ k_{\\max})$\n", "> + Pick a random neighbour, $s_{\\mathrm{new}} := \\mathrm{neighbour}(s)$\n", "> + If $P(E(s), E(s_{\\mathrm{new}}), T) \\geq \\mathrm{random}(0, 1)$:\n", "> * $s := s_{\\mathrm{new}}$\n", "> - Output: the final state $s$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", "## Basic but generic Python code" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us start with a very generic implementation:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def annealing(random_start,\n", " cost_function,\n", " random_neighbour,\n", " acceptance,\n", " temperature,\n", " maxsteps=1000,\n", " debug=True):\n", " \"\"\" Optimize the black-box function 'cost_function' with the simulated annealing algorithm.\"\"\"\n", " state = random_start()\n", " cost = cost_function(state)\n", " states, costs = [state], [cost]\n", " for step in range(maxsteps):\n", " fraction = step / float(maxsteps)\n", " T = temperature(fraction)\n", " new_state = random_neighbour(state, fraction)\n", " new_cost = cost_function(new_state)\n", " if debug: print(\"Step #{:>2}/{:>2} : T = {:>4.3g}, state = {:>4.3g}, cost = {:>4.3g}, new_state = {:>4.3g}, new_cost = {:>4.3g} ...\".format(step, maxsteps, T, state, cost, new_state, new_cost))\n", " if acceptance_probability(cost, new_cost, T) > rn.random():\n", " state, cost = new_state, new_cost\n", " states.append(state)\n", " costs.append(cost)\n", " # print(\" ==> Accept it!\")\n", " # else:\n", " # print(\" ==> Reject it...\")\n", " return state, cost_function(state), states, costs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", "## Basic example\n", "\n", "We will use this to find the global minimum of the function $x \\mapsto x^2$ on $[-10, 10]$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "interval = (-10, 10)\n", "\n", "def f(x):\n", " \"\"\" Function to minimize.\"\"\"\n", " return x ** 2\n", "\n", "def clip(x):\n", " \"\"\" Force x to be in the interval.\"\"\"\n", " a, b = interval\n", " return max(min(x, b), a)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def random_start():\n", " \"\"\" Random point in the interval.\"\"\"\n", " a, b = interval\n", " return a + (b - a) * rn.random_sample()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def cost_function(x):\n", " \"\"\" Cost of x = f(x).\"\"\"\n", " return f(x)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def random_neighbour(x, fraction=1):\n", " \"\"\"Move a little bit x, from the left or the right.\"\"\"\n", " amplitude = (max(interval) - min(interval)) * fraction / 10\n", " delta = (-amplitude/2.) + amplitude * rn.random_sample()\n", " return clip(x + delta)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def acceptance_probability(cost, new_cost, temperature):\n", " if new_cost < cost:\n", " # print(\" - Acceptance probabilty = 1 as new_cost = {} < cost = {}...\".format(new_cost, cost))\n", " return 1\n", " else:\n", " p = np.exp(- (new_cost - cost) / temperature)\n", " # print(\" - Acceptance probabilty = {:.3g}...\".format(p))\n", " return p" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def temperature(fraction):\n", " \"\"\" Example of temperature dicreasing as the process goes on.\"\"\"\n", " return max(0.01, min(1, 1 - fraction))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Step # 0/30 : T = 1, state = -7.45, cost = 55.5, new_state = -7.45, new_cost = 55.5 ...\n", "Step # 1/30 : T = 0.967, state = -7.45, cost = 55.5, new_state = -7.44, new_cost = 55.4 ...\n", "Step # 2/30 : T = 0.933, state = -7.44, cost = 55.4, new_state = -7.5, new_cost = 56.2 ...\n", "Step # 3/30 : T = 0.9, state = -7.5, cost = 56.2, new_state = -7.59, new_cost = 57.6 ...\n", "Step # 4/30 : T = 0.867, state = -7.59, cost = 57.6, new_state = -7.64, new_cost = 58.3 ...\n", "Step # 5/30 : T = 0.833, state = -7.59, cost = 57.6, new_state = -7.51, new_cost = 56.4 ...\n", "Step # 6/30 : T = 0.8, state = -7.51, cost = 56.4, new_state = -7.53, new_cost = 56.6 ...\n", "Step # 7/30 : T = 0.767, state = -7.53, cost = 56.6, new_state = -7.58, new_cost = 57.5 ...\n", "Step # 8/30 : T = 0.733, state = -7.53, cost = 56.6, new_state = -7.6, new_cost = 57.8 ...\n", "Step # 9/30 : T = 0.7, state = -7.53, cost = 56.6, new_state = -7.51, new_cost = 56.4 ...\n", "Step #10/30 : T = 0.667, state = -7.51, cost = 56.4, new_state = -7.24, new_cost = 52.4 ...\n", "Step #11/30 : T = 0.633, state = -7.24, cost = 52.4, new_state = -6.98, new_cost = 48.7 ...\n", "Step #12/30 : T = 0.6, state = -6.98, cost = 48.7, new_state = -6.6, new_cost = 43.5 ...\n", "Step #13/30 : T = 0.567, state = -6.6, cost = 43.5, new_state = -6.69, new_cost = 44.8 ...\n", "Step #14/30 : T = 0.533, state = -6.6, cost = 43.5, new_state = -6.84, new_cost = 46.8 ...\n", "Step #15/30 : T = 0.5, state = -6.6, cost = 43.5, new_state = -6.45, new_cost = 41.6 ...\n", "Step #16/30 : T = 0.467, state = -6.45, cost = 41.6, new_state = -6.24, new_cost = 38.9 ...\n", "Step #17/30 : T = 0.433, state = -6.24, cost = 38.9, new_state = -6.52, new_cost = 42.5 ...\n", "Step #18/30 : T = 0.4, state = -6.24, cost = 38.9, new_state = -5.92, new_cost = 35.1 ...\n", "Step #19/30 : T = 0.367, state = -5.92, cost = 35.1, new_state = -6.35, new_cost = 40.4 ...\n", "Step #20/30 : T = 0.333, state = -5.92, cost = 35.1, new_state = -5.98, new_cost = 35.8 ...\n", "Step #21/30 : T = 0.3, state = -5.92, cost = 35.1, new_state = -5.35, new_cost = 28.6 ...\n", "Step #22/30 : T = 0.267, state = -5.35, cost = 28.6, new_state = -4.67, new_cost = 21.8 ...\n", "Step #23/30 : T = 0.233, state = -4.67, cost = 21.8, new_state = -4.44, new_cost = 19.7 ...\n", "Step #24/30 : T = 0.2, state = -4.44, cost = 19.7, new_state = -4.59, new_cost = 21.1 ...\n", "Step #25/30 : T = 0.167, state = -4.44, cost = 19.7, new_state = -4.04, new_cost = 16.3 ...\n", "Step #26/30 : T = 0.133, state = -4.04, cost = 16.3, new_state = -4.77, new_cost = 22.8 ...\n", "Step #27/30 : T = 0.1, state = -4.04, cost = 16.3, new_state = -4.7, new_cost = 22.1 ...\n", "Step #28/30 : T = 0.0667, state = -4.04, cost = 16.3, new_state = -3.44, new_cost = 11.8 ...\n", "Step #29/30 : T = 0.0333, state = -3.44, cost = 11.8, new_state = -2.6, new_cost = 6.78 ...\n" ] } ], "source": [ "annealing(random_start, cost_function, random_neighbour, acceptance_probability, temperature, maxsteps=30, debug=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now with more steps:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "0.08501260465044064" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "0.007227142949452121" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state, c, states, costs = annealing(random_start, cost_function, random_neighbour, acceptance_probability, temperature, maxsteps=1000, debug=False)\n", "\n", "state\n", "c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", "## Visualizing the steps" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def see_annealing(states, costs):\n", " plt.figure()\n", " plt.suptitle(\"Evolution of states and costs of the simulated annealing\")\n", " plt.subplot(121)\n", " plt.plot(states, 'r')\n", " plt.title(\"States\")\n", " plt.subplot(122)\n", " plt.plot(costs, 'b')\n", " plt.title(\"Costs\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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7e2PTpk347bffinXZQadOnbB582YsX75c87zt7e0hk8l0bndbnNeasY6H4vRT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DothBDSVMJXTozB4sWLMXHiRPz2t78FAMybNw/FxcVYvXo1Jk2KXFSQ4zijkRCnjOc5zf8TFfWD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\nmqVIRXxZKwy06KcxF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z8rKipi06ZNUx5KZDt27GDXXnsty8/PZ8OGDWN///vf\nm/s04mLt2rXsiiuuYIWFhWzMmDGaqRwZS4zrgTHGPvvsM3buueey48ePB61LlD5IVHQfdOZf33Qf\nJKH7oNDoXihx74XoPkjSkvdBHGOMNT4hhxBCCCGEEEIIIYSccTVaCCGEEEIIIYQQQloKBVoIIYQQ\nQgghhBBC4oQCLYQQQgghhBBCCCFxQoEWQgghhBBCCCGEkDihQAshhBBCCCGEEEJInFCghRBCCCGE\nEEIIISROKNBCCCGEEEIIIYQQEicUaCGEEEIIIYQQQgiJk/8HhbGb6a1CgQcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "see_annealing(states, costs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", "## More visualizations" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def visualize_annealing(cost_function):\n", " state, c, states, costs = annealing(random_start, cost_function, random_neighbour, acceptance_probability, temperature, maxsteps=1000, debug=False)\n", " see_annealing(states, costs)\n", " return state, c" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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DyWRiyZIlBV5vTsd0YfZDz549ady4set/b29vunbtimEYtG/fPsd5mZmZ7Nu3r8DrKKiy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-10, -1000)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "visualize_annealing(lambda x: x**3)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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4du1aLFiwAPv27YNCoUBwcDA2bdqEH374wa6U/27dumHz5s1YsWKF7riVSiVU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\nbNeBAza98Yb1Xnn1Ves1+vzzo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-0.007545319790391913, 5.6931850739279866e-05)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "visualize_annealing(lambda x: x**2)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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t27dDrVajZcuWWLt2LXbt2lXkgApgeEBctWoVPv/8c+zcuRMajQbh4eFYv349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AFGRszHfX3RtseSH0JIVCIJKp/61Kdw2GGHtXsshJAOR5sYV5/ngwNq3UTusuLKS9HHcgjUWIvV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-0.007160473894364527, 0.0071604738943645274)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "visualize_annealing(np.abs)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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WqN19992YM2cOPv30U6xfvx4BAQFo3rw5Fi9ejM2bN5c4yAIUdhoXLlyITz/9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\nIE9NamqA3r2dRJaEzUkK2TAViL7xUiXm3nv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(9.491236787419837, -0.9977924248899227)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "visualize_annealing(np.cos)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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sXbsWO3fufOiAC6D9Arlq1SrMnTsXO3bsgEKhQFhYGH744Qd888035ZqO0K1b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\nItNIuPDCPehnUSacLczDhUeMsW1BwnJowkUEun5btzZP4SIKKWLRKoVLc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EYoXKJ6uDRa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\nhxQZ+0h17XGRxC2kSGynEVJkHCw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6uIj3Fr8hRR9/bDTeS+WojoQEF4IgiDxDrFLESHAh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\nxo1D+q5qJMaMRWrCBETzpaSCDXQcC4eu0k+CyDd++9t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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(3.935615512590335, -1.4141609642965898)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "visualize_annealing(lambda x: np.sin(x) + np.cos(x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In all these examples, the simulated annealing converges to a global minimum.\n", "It can be non-unique, but it is found." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "> That's it for today, folks!\n", "\n", "More notebooks can be found on [my GitHub page](https://GitHub.com/Naereen/notebooks)." ] } ], "metadata": { "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", 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