{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Evolutionary Algorithms: Painting with Polygons\n", "---\n", "[Evolutionary algorithms](https://en.wikipedia.org/wiki/Evolutionary_algorithm) are a family of algorithms that are inspired in natural evolution processes in order to reach a solution of a particular [optimization problem](https://en.wikipedia.org/wiki/Optimization_problem). Such algorithms typically use concepts such as random mutations, reproduction, and selection to incrementally find better solutions. The general idea is that after having formulated our problem, which can consist for example on minimising certain [loss function](https://en.wikipedia.org/wiki/Loss_function), and proposing several starting solutions, we let the algorithm work on these solutions and making them evolve. After some time, the solutions will have changed significantly and only the fittest, the ones that score better according to our problem formulation, will survive. Eventually, the algorithm will stop and the solutions will have improved. This kind of programming is used for tackling problems in a wide range of fields suchs as mathematics, engineering, economics and [many more](https://en.wikipedia.org/wiki/List_of_genetic_algorithm_applications). Famous applications of evolutionary algorithms are one type of [antenna](https://en.wikipedia.org/wiki/Evolved_antenna) NASA used in some satellites, [virtual creatures](https://www.karlsims.com/evolved-virtual-creatures.html) that learn to behave like animals in a simulated world, or the [best ever Super Mario World player](https://www.youtube.com/watch?v=qv6UVOQ0F44).\n", "\n", "The example we are going to see in this lab is related to art, specifically to [generative art](https://en.wikipedia.org/wiki/Generative_art). In particular we are going to recreate Roger Johansson's project [Evolution of Mona Lisa](https://rogerjohansson.blog/2008/12/11/genetic-gallery/) that consist in reproducing famous paintings with a collage of polygons of different shapes and colours. Fortunately, many others, inspired by the same amazing project, have coded useful interactive applets, [here](https://alteredqualia.com/visualization/evolve/) and [here](https://chriscummins.cc/s/genetics/), that we can check out during our programming journey. By the end of the lab you will know how to do the same thing in Python, and with any image you want to input. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem formulation\n", "---\n", "\n", "The basics of this laboratory is to be able to manipulate images within Python. Implementing the evolutionary algorithms will depend a lot on how the images are processed and polygons painted. A digital image is at the end a big matrix - depending on the size and resolution - with a set of numbers that define the colour of each pixel. Manipulating images is therefore nothing else than performing mathematical operations that change those pixel values. Operations like drawing a circle on top of a picture or balancing whites can be performed by python code, but it translates to pixel-by-pixel complex mathematical operations. Fortunately, thanks to libraries like [Pillow](https://pillow.readthedocs.io/en/stable/), also known as `PIL`, we can use handy objects such as `Image` and `ImageDraw` that make working with images a relatively simple task.\n", "\n", "The first thing we will do is to create a function that draws a collection of polygons, the building blocks of this exercise. The main input to the function will be a list of elements (polygons) where each element is a Pyhton dictionary with two attributes; `vertices` and `RGBA`. `vertices` is itself a list of points in a two-dimensional space that denote each of the vertices of the polygon (the order is important). Thus, if we have lists of 3 vertices we will be drawing triangles. Remember that when processing and rendering images, the X values increase from left to right, but Y values increase from top to bottom. The other attribute, `RGBA`, is a tuple with integer values from 0 to 255 for each of the [Red, Green and Blue channels](https://en.wikipedia.org/wiki/RGB_color_model) plus the Alpha channel for the transparency. The values `(0,0,0,255)` would represent the colour black, `(255,255,255,255)` would be white, and `(0,0,255,125)` would be a semitransparent blue. Finally, we also need to provide the width and height of the canvas in a variable called `size`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAASwAAAEsCAIAAAD2HxkiAAAJt0lEQVR4nO3d241jxxWG0SPBaRgeB9IAAcXhUPjETJyHAAITiDSRtB8o0Zzm7dyq9q6qtR4FSOJI/c1fxdPs+eXz83MC4vwa/QJgdCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKEYCKkH6fpFP0S1vhH9AuApxqNaikRUskgRa0gQlZKGNVxOka/hDVEyF8SRjUIEXZLVK0QYRsU1TERxhAVVyLch6jCNfquzCTChxRFTUNEKCoyazJCUdGTFBGKipHtH6GiqK/dd2WmORGKCop6/1Gm43Rs+rcZpmk6n6NfAc/NPY5eOrSKzZFffsvuhFJsiPxa8cvn5+e6v1OKaT3M73Co/Crqaf26tP7HW7gr5vRsAA1jWlsfUTig5iGzRu3znFCKseTXtD0f1kuxPvl1YP0bM69JsbQV+XX53kwHb0yU+t7R638aNe7O+nWm+DdwO6PuSH5dqvQTuD3P2G57gRrOqepHmaziOuLpW6k3Zt6S4hy759fZezN9HK/CPtRrFV+zfuMI/mS9FO/JbzQpfryFFC/kN6YUEV6MnKL8Rhb2xsxrQ6VYs8Ce3pjp412ZKW2EF92nGDKA3XTYTYSJjqP3Oj6gOn9ylTrCi85SlB9fNBDhRQcpyo+HUt8Jn2kuxVT59XEn7OZCODW0hLcaWsVU+ZFTpU9RlJD/kxkKZI4mj6P3sq1i8vw6OJEm//13kSaPo/fyHFCT50dCnSzhragUG8qv9SXsaQanbpbwVtSPtzkcWuqQPBp+Y+at/O/cwNR3hBc1U2z9mEeI/iO8qJaiDlmqwzdm3qpwV8x/OWz3N4v+rhijLOEtd0VSGTHCi6Iptrsz1DduhBflUtQhM40e4UWhFHXIHCL8P3fF/Lr8HyTCr/ZN0Rjylggf2zHFnB3mf4gyDhG+4oBKBSM+rF9n4yP+hMuTc6Jf6PU3REs418ZVbO4rvpyP0zn6JeTS4UeZitry6WGfdZLfQ5ZwDXfFFRT4jCVcb8UqjjmGX/L7fjyEvIy0LOFWS1dxtMvhXgPY8dFDhPtYlGKSDktv8sfp7Ag6h+PonqJ+vE1C8ptPhEW8vS52fDl8nZ8L4T3H0YJen1GTHEr3ZQBXsITF5fnBxEUVza/jd2UmS1jNw1XsZgwN4BaWsKr7VWz9crgoPxfChyxhgC+rGLiHG/s3gLuwhGGavivKb0ciDPbXJB5ODR1KKxfY97syk88TpvLbOWAVFx2Gt+S3+kLYfYTuhIn8fjgevuf9gnMELcRxNJ1Lh+ePRHdF+RVlCXM5/j2Eh+9ZVlGBpbkTZnT6eQVLr+Kza+G++a27E3Z/IZwsYRNCVjFDgYMQYUbHR8VVS9HnACsTYVIPO5wKpyi/ECLM61mHU5kU5RfFI4qG7fUwo3R+HtO/ZglTezGGVxtX8T//Pa/+e9mFRxQNOC2ZuvnDeJvft38veUELWcLXLGED5uzh1cxhNIB5uBP26cV1sXJ+nhC+ZQnbsGgMr+5XsaEBHOQsOlnChhyPyy6HV5cO//nHbzu/IHYiwiF8nE/TdJim6c9/nYNfCne8O9qYpWP48eiDwvcpFnp3dMuFcJzjqDthYxZdDh8WOE3Ttx+Hbz8Ot3/lzz/WvyQ2soRNeruHz/K7d13FEmPoCeEclrBD8wucHq0ilYmwSc8OpR/n06ICr779OBymw5aXxGoibNV9h+vyu3WY9kzRY/qZPKLowfb8bl06PE/nHf+ZvGAJG3YZw30LvNp3FRcZ6l2ZyRK27XQ6TmUHyypW4BFFm35+RrHXj9B//dO4F6XoMf18jqMNWvctpJsFHlD75jjalCf51fxDDh1Qd2cJ2/FyACv/IYflVnG0s+hkCdsw7/xZ/w/9fbaKnhAuIsL0gm6A810n0Rl1HREmtjy/+mP407/ddXEVd8Ks1g7glsvhLgEfpsOA97otLGE+6c+fc1w6PE3Lfi1j1msJk9mjwMrvlH51863lx+k4ZleLWMI0dh3A2MvhF+tWcRyWMIcCR9DgPbxjFZ+xhNG6uAHOZxXv+QbuUOULXHoo3bqfS34Q1ZcUh91Jx9Egp1OdDVwaVc2bpAPqhQgj1D2CZrscfiFFd8K6BrsBzjdyh5aworgCK43huj+2ZniWsIoEA5jqySG3LGF5CQokM0tYUrL8jGFOnhOWkSy/W3M6XHOHdCFcy3G0gMQFTumfWAzIcXRXufMjJxHup50C97wcOoVuJsI9tJPf1dYOtbcfEW7WYIEXazrUXgEi3KDZ/BbTXkkiXKuLAt+Mofaq8JxwuS7yu/Wlw++H4yTAiizhQt0VeHVpj/pEOFuv+R2Ph2O3v7gmiHCe/r5Ifz5uHnUYR4Tv9Pe1+eS2p8MoInypp69K77RkJcInuslvSXvGMIRHFI908JW4Yfeuv3rbWYcl/Fnr+e3RjT2sTIQ32v3Ss1ktE+E0Tc3mV6w9Y1iTO2GDBdq9voy9hG3lp71OjRphQ/lpr3dDRthEgdobxmAR5s9Pe+MZKcLMBWpvYGNEmDY/7TFEhAkL1B43uo4wW37a45F+I8xToPZ4qccIk+SnPebpLsLwArXHQh1FGJuf9lirlwgDC5Qf27QfYVR+2mMnjUdYv0DtsbdmI6ycn/Yops0IqxWoPcprLcI6+WmPipqKsHSB2iNCIxEWzU97hEofYbn8tEcOuSMsUaD2SCZrhLvnpz2yShnhjgVqj/SSRbhXftqjHZki3F6g9mhQjgg35qc9WpYgwtUFao8uhEa4Lj/t0Ze4CJcWqD06FRHhovy0R++qRzi/QPkxhooRzsxPewymVoRvC9Qeoyof4ev8tMfwCkf4rEDtwd+KRfgwP+3BnTIRfilQe/Dc3hHe5qc9mGHXCC8Fag+W+OXz83OHf8zppD1YZ6cIgbV+jX4BMDoRQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQjARQrD/AQiCt/yLXrpVAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from PIL import Image, ImageDraw\n", "\n", "polygons = [{'vertices': [(179, 203), (162, 80), (110, 108)], 'RGBA': (0, 0, 255, 125)},\n", "{'vertices': [(239, 65), (216, 179), (11, 79)], 'RGBA': (0, 255, 0, 125)},\n", "{'vertices': [(209, 123), (23, 245), (194, 187)], 'RGBA': (255, 0, 0, 125)}]\n", "\n", "def draw(polygons, size):\n", " \"\"\" Draws the collection of polygons in a canvas. \"\"\"\n", " \n", " # Draw the canvas in white\n", " img = Image.new('RGB', (size[0], size[1]), (255, 255, 255))\n", " drw = ImageDraw.Draw(img, 'RGBA')\n", " \n", " # Draw each polygon\n", " for pol in polygons:\n", " drw.polygon(pol[\"vertices\"], pol[\"RGBA\"])\n", " \n", " return(img.convert(\"RGB\"))\n", "\n", "\n", "draw(polygons, size=(300,300))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is a white background image with the three polygons. Notice that the overlapping of semi-transparent polygons also create regions with different colours.\n", "\n", "The next step is to create a function that generates a collection of `N` triangles with their vertices placed at random over the canvas of a certain `size`. By default we generate the initial colours randomly as well as the transparency, however we allow for certain customization of the initial state with, for example, all triangles being black with a specific value for transparency. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "def random_triangles(N, size, colour=\"random\", alpha=\"random\"):\n", " \"\"\" Generates a population of random triangles. \"\"\"\n", " \n", " collection = []\n", " \n", " for i in range(N):\n", " # Generate vertex coordinates\n", " coords = [ (np.random.randint(0, size[0]), np.random.randint(0, size[1])) for i in range(3)]\n", " \n", " # Generate alpha\n", " if alpha == \"random\":\n", " a = np.random.randint(0, 256)\n", " else:\n", " a = alpha\n", "\n", " # Generate colour\n", " if colour == \"white\":\n", " rgba = (255,255,255,a)\n", " elif colour == \"black\":\n", " rgba = (0, 0, 0, a)\n", " elif colour == \"random\":\n", " rgba = (np.random.randint(0, 256), np.random.randint(0, 256), np.random.randint(0, 256), a)\n", "\n", " triangle = {\"vertices\": coords, \"RGBA\": rgba}\n", " collection.append(triangle)\n", " \n", " return(collection)\n", "\n", "# Generate a collection of random triangles\n", "collection = random_triangles(N=50, size=(200,200), colour=\"random\", alpha=\"random\")\n", "# Draw the triangles\n", "img = draw(collection, size=(200,200))\n", "img" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great! Now we know how to create a collection of triangles and generate an image of it. But we also need load into the program the image that we want to reproduce. Again, pillow library makes our lives easy, `Image.open()` does just that if we provide the local path of the png file. We also convert it to RBG format, This ensures that both the target image and the result of the `draw()` function - which we also convert to RGB - have exactly the same format. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Read image\n", "image_path = \"target_images/mona_lisa.png\"\n", "# Open the image and convert it to RGB (no alpha channel)\n", "target = Image.open(image_path).convert(\"RGB\")\n", "target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One useful image manipulation trick is to subtract one image from the other using `ImageChops.difference()` function. Remember, this is just mathematically subtracting pixel values from two matrices. The result is a matrix with the difference values, which in turn is also an image that we can display." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from PIL import ImageChops\n", "\n", "ImageChops.difference(img, target)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But more interestingly, we can create a function that, using the same principle, returns the pixel-by-pixel difference between the triangles image and the target. `ImageChops.difference()` provides already the absolute difference for each RGB channel and for each pixel. Using the `.getdata()` attribute returns this as values in a matrix. Then, we can just sum all the elements with `.sum()`. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10946565" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Compute pixel difference\n", "def pixel_difference(candidate,target):\n", " \"\"\" Computes the image difference pixel by pixel\"\"\"\n", " diff = ImageChops.difference(candidate, target)\n", " totdiff = np.array(diff.getdata()).sum()\n", " return(totdiff)\n", "\n", "diff = pixel_difference(img,target)\n", "diff" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is how far apart these two images are in all 3 RGB channels. Of course the bigger the image is or the more resolution we have, the higher the difference will be. Ideally, we want to construct a measure that does not depend on that. Because we start by default with a white empty canvas, one solution consists on considering the difference between a white image and the target as the maximum difference. This allows us to construct a fitness measure in terms of this maximum difference. Thus, 0% would be the initial empty canvas, and 100% would be the exact replication." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitness = 37.087%\n" ] } ], "source": [ "# Compute maximum pixel difference\n", "def max_pixel_difference(target):\n", " \"\"\" Computes the maximum pixel difference from white canvas\"\"\"\n", " white = Image.new('RGB', target.size, (255, 255, 255))\n", " diff = ImageChops.difference(white, target)\n", " maxdiff = np.array(diff.getdata()).sum()\n", " return(maxdiff)\n", "\n", "maxdiff = max_pixel_difference(target)\n", "fitness = (1 - diff / maxdiff) * 100\n", "print(\"Fitness = \" + str(np.round(fitness,4)) + \"%\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expressing the fitness as similarity percentage allows us to compare quantitatively which two triangle collection is closer to the target image." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Exercise 1:
Create a new function called random_polygon() that generates a polygon, instead of triangles, with a number of vertices controlled by a parameter named \"vnum\". Then, use the function to create a collection of 3 polygons with 5 vertices and plot them on a white canvas to show that the code works correctly.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hill Climbing\n", "---\n", "\n", "Now that we have the building blocks ready, it's time to implement the evolutionary algorithms that will make our collection of polygons evolve and become more and more similar to the target image. [Hill Climbing](https://en.wikipedia.org/wiki/Hill_climbing) is probably the most simple one we can start with. The application of this algorithm in our problem consists in introducing a mutation in our collection of triangles, then keep or discard the new mutated collection depending on whether the overall fitness has increased or decreased.\n", "\n", "A mutation is a relatively small change in the vertex coordinates or the colour of one of the triangles. As the iterations progress, more beneficial mutations - those that increase the fitness - cumulate and allow this incremental transformation to take place. The mutations can also be of different types; [This example](https://alteredqualia.com/visualization/evolve/) allows the user to select between \"soft\", \"medium\" and \"hard\" mutations. As you will explore in the Exercise 2, this has naturally some impact on the evolution path. For the moment we will only implement the \"hard\" mutation that consist on replacing randomly one of the vertices and changing randomly the color of the triangle including its transparency.\n", "\n", "As mentioned before, each of triangles in our collection is a python dictionary. There is one caveat we should consider when performing the mutation. We want to return a mutated collection object as a different object than the original. Therefore we will first copy the original collection into a new one and then perform the mutation on this new copy and return that as a new object. When copying the original list, if we did something like `mutant=original`, we would be doing a [shallow copy](https://www.programiz.com/python-programming/shallow-deep-copy) rather than a deep copy. Any changes to the `mutant` object would also affect the `original` object. In order to avoid this issue we use the function `deepcopy()` from the `copy` library. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.5, 199.5, 199.5, -0.5)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAADBCAYAAADLqheFAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAgRElEQVR4nO3de1BbV54n8O/RC5B4P40xuB3bSWzHcbrjON1g49iJO4ROTJKdzsy+ZqZ29p/Z6vlja3b/mant7f5jtmq2tnb20TtTW7tV2ez0TO10d8Ztt9tO7Nix8St+MMZNg9s2xCDAGARCSEgCIensHxIK4qUHV7r3St9PlauMdHXvAe6P732dc4SUEkRERIsMajeAiIi0hcFARERxGAxERBSHwUBERHEYDEREFIfBQEREcRgMGySE+BMhxP9Wetkk1iWFEDuUWBcRAUKI3xdCXFW7HVrAYFgmunP0CCF8QoinQoi/EkKUr7W8lPI/SCn/ZTLrTmVZIj0TQgwKIQJCiOplr3dHD2q+lsQ6Ujr4EUJcEkKwvhTAYFhCCPHHAP4cwL8FUAbgmwC2AjgvhLCssrwpuy0k0pXHAP7x4hdCiL0AitRrDiWLwRAlhCgF8EMAfySl/ERKuSClHATwASLh8M+EED8QQvxMCPFjIYQbwO9HX/vxkvX8rhBiSAgxJYT4d9Ejpzei78WWFUJ8LXpE9HtCCLsQYlII8adL1nNACHFDCOESQowJIX60WjgRadhfA/jdJV//HoD/u/jF8iP8pZdyhBCd0ZfvCSFmhRC/LYSoEEKcFkI4hBDT0f9viS7/ZwAOAfhRdPkfRV9/XghxXgjhFEI8EEJ8sGR7VUKIU0IItxDiFoDtGfo56A6D4SvNAAoB/P3SF6WUswDOAjgWfakDwM8AlAP4m6XLCiF2A/hLAP8UQD0iZx0NCbZ7EMBzAF4H8H0hxK7o6yEA/xpANYBvRd//V6l/W0Sq+QJAqRBilxDCCOC3Afw4wWcAAFLK1uh/90kpi6WUf4fI36sPETlQawLgB/Cj6PJ/CuAKgO9Fl/+eEMIG4DyAvwVQi8jZy18KIfZE1/0/AMwhUqv/IvqPwGBYqhrApJQyuMp7Y9H3AeCGlPLnUsqwlNK/bLnfAvALKeVVKWUAwPcBJBqM6odSSr+U8h6AewD2AYCUsktK+YWUMhg9c/mfAA6n960RqWbxrOEYgN8AGE13RVLKKSnlx1JKn5TSA+DPsH5NvA1gUEr5YbSO/gHAxwB+KxpU/wjA96WUXinlrwF8lG7bcg2vkX9lEkC1EMK0SjjUR98HgOF11rF56ftSSp8QYirBdp8u+b8PQDEACCGeBfCfAewHYEXkd9WV6Jsg0pi/BtAJYBuWXEZKhxDCCuAvALQBqIi+XCKEMEopQ6t8ZCuAV4UQriWvmaJtqon+f2k9D22kfbmEZwxfuQFgHsD7S1+Mno6+BeBC9KX1zgDGAGxZ8tkiAFVptuevEDnC2imlLAXwJwBEmusiUoWUcgiRm9DtWHaZFoAXkYOeRZsSrO6PEbns+mq0JhYvNy3WxfLaHAZwWUpZvuRfsZTyDwE4AAQBNC5ZvimZ7ykfMBiipJQziNx8/u9CiDYhhDn6SN1PAYwgcpSRyM8AvCOEaI7eKP4h0v9jXgLADWBWCPE8gD9Mcz1EavsDAEellN5lr3cDeF8IYY0+lvoHy94fB/DMkq9LELmv4BJCVAL49wmWPw3gWSHEP4/Ws1kI8YoQYlf0DOPvAfwguv3diNwcJzAY4kgp/yMiR+b/CZE/yjcROep4XUo5n8TnewH8EYD/h8jZgwfABCJnIqn6NwD+SXQd/wvA36WxDiLVSSkHpJR3VnnrLwAEEPmD/hGWPcwB4AcAPoo+mfcBgP+CyOOuk4jc2P5k2fL/FZH7B9NCiP8WvQ/xbQC/A+AJIpdt/xxAQXT57yFy6fYpgP+DyI1tAiA4UU/mCCGKAbgQuRz0WOXmEBElhWcMChNCvBM9NbUhcubRA2BQ3VYRESWPwaC8DkROW58A2AngdyRPy4hIR3gpiYiI4vCMgYiI4jAYiIgoTqKez7zORFqSCx38WFOkJavWFM8YiIgoDoOBiIjiMBiIiCgOg4GIiOIwGIiIKE5eBIPf70dPT4/azSDKGcFQCFOuWbWbQRmSqOez7h+tC4fD+Pjjj+Hz+WC1WnHo0CHU1dVBiFx48jHv5MIvTfc1JaXEwLADBRYTGjdVqt0c2phVayqng8Hv9+P06dOYmZmJvSaEwPHjx2G1WmGz2VRsHaWBwaCyYCiEwdEpSCmxo6mWB1j6l1/B4Ha70dnZiadPn676fmlpKQ4cOIDq6moUFxdnuXWUplz4K6TbmgosBPFkwgXfXABmkxE7t9ap3STauPwIhmAwiLt378LhcODJkycJl29sbERlZSVefvllGAx5cctFzxgMKgiHJRzTHszNB+D1BwCAwZA78iMYzp07B7vdnvLntm3bhtdffz0DLSIFMRhUYB+bwqwvfhLCrZurYCsqWOMTpCO5HQyhUAifffYZhoeH015HYWEhXnjhBezevRtms5nXT7UnF34huqmpsJQYeepcEQoAsOuZetZHbsjdsZLm5ubQ2dm5oVBYXE9fXx/Onj2Lubk5hVpHpD/BUBhPJlyrhgLlvkSjq2re/Pw8bt26hYGBgQ2vq7i4GM3NzWhqalKgZUT6FAqFMTHlhnvWv+r7pcVFWW4RZZuugyEcDuPq1at4/Pjxhtd18OBBlJSUoKGhQYGWEemTlBJPHC54vGufMddUFPMyUo7TbTBIKXH+/PkNXz56+eWXsXXrVlRUVHBnp7wmpcTwGvcUKL/oMhgCgQAuX768oVCw2WzYvn079u3bx8dUKe+FwmE8GU98T8FoEDyAygO6CoZQKITR0VEMDg5iaGgorXXU1NSguLgYR48e5Q5OeU9KiVnfPDxePzy+xA9cbKoug8Wsqz8blAbd/IallLh79y66u7vTXsfmzZtx8OBBlJaWKtcwIp2SUsLh9GCSg+HRMroJhps3b6K3tzetzxYVFaG1tRVlZWUMBaKo8Sk3nDNetZtBGqT5YAiHw+jq6kJfXx8SdMZbwWAw4K233kJZWRmsVmuGWkikL1JKTDg9KYdCeYkVJTY+qpoPNB0MwWAQPT09uHfvXkqfM5lMKCsrw/79+7Fp0ybeSyCKCoclpmZm05pLwWAQMBhYS/lAs8EQDofR09ODrq6ulD63Y8cOVFRUYN++fRlqGZE+SSkx5ZqFY9qjdlNI4zQbDHfu3MGvfvWrlD6zd+9e7N+/H0ajMUOtItKvCacn7VnXzCYjezznEc0Fg5QSN2/eRF9fX9KfaWhowCuvvIKysjKGAtEyUkqMT7kxvYEbzSaTEdZCi4KtIi3TTDBIKeH3+3H//n309vYmdaO5qKgI3/3ud2E0GhkIRMtIKREKheF0e/n0EaVEE8EgpcTjx49x8eLFpJYvLi5GWVkZWltbYbHwKIZoOSkl3N45jI5PK7K+ogKzIushfdBEMDx8+BDXrl1LuJzRaMTevXtRV1eHxsbGLLSMSJ9cHh/GHDOJF0yCwSBQV8X+P/lE9WDo6+vDnTt3EA6H113ulVdeQWVlJQOBKAHnjBcTTrfazSAdUy0YpJQYGBjArVu3EAwG11zOYDDg61//Ol544QXeRyBah5QS7lk/JqbcCKfYGXQ9IicmzqNUqBIMUkoMDg7i0qVLay5TWlqK8vJyHDt2DADYSY1oHVJKeLxzGJ1wKb7u7U01rL88o0owDAwMrBsK9fX1eP3111FYWJi9RhHpmHvWn5FQiGAo5JusB0NfXx9u3bq16ntlZWXYvXs3GhsbGQpESXLOeDE+xXsKpJysBIOUEuPj47h16xZcLteq9xTa29thtVpRXl6ejSYR6ZqUEv65AMan3JhfCKY8wGSyNlWXwcjxkfJOxoNBSonp6WmcPXsWoVAo7j2j0QiTyYRvf/vbqK2t5XVMoiRIKTEfCGJozJmxQFhUYDGxLvNQxoPB4XDg9OnTKx5Hra+vR2NjI1588cVMN4Eop8zNL2BwdBKZjQTKZxkNhuHhYXR2dq4IhT179uCb3/wmj0SIUuTxzmHM4cpKKFgLLTCb+Ih4PspYMIyMjODatWvw+/2x17Zt24Zt27ahqamJoUCUolnfHJ5OziAYWr8zqFJKbIWc3zlPKf5bl1JiamoKly5dwtxcZHJxm82G9vZ2FBYWoqCgQOlNEuU0KSXmAgsYHXchlGCEACIlKB4M09PTOHnyJKSUKCoqgsViwbvvvguzmYNwEaVjPhDE45HJrG7TIAQMBkNWt0naoWgwjI2N4dy5c7BYLGhoaMCuXbtQX1+v5CaI8orXP4/hp86sb7fYWoCKUs6Tnq8UCQan04mHDx/i8ePHCIVCaGlpwY4dO5RYNVFemptfgMvjg8c7h3CYzx9Rdm04GHw+Hy5evAiXy4VXX30VtbW1qK2tVaJtRHlpIRjCyPg0AgtrDy5JlEkiQQeZdd+cn5/HT3/6U9TX16OlpQUWi4XXJSmTcuFRtnVrKhQKo98+oepNZrPJiO2NNazl/LBqTaV9xuByuXD79m3U19fj6NGjfPyUaIPmA0HYx6ZUf/JICDAU8lzaweBwONDS0gKrlTeoiJTgnw+oHgpEwAYvJRFlWS6clq5bU/32CdXvLWzZVIFSW5GqbaCsWbWmeL5IpCGNmyqh9lXZEiuHvM93DAYiDbGYjXhmC5/qI3UxGIg0RAgBo0GgqECdkQKKrRyyhhgMRJpjMhmxubYC1kJL1re9qbqMTxgSg4FIiwosJmyuLUehhWOMUfblfDAEAgGcPHly1elEibTMYjbBZMpeiSZ7osCayn05HwynTp2Cw+HAp59+Cq/Xq3ZziFLSuKkStqLsXPdvqK1IamIe1lTuy+lgGB0dxfz8PIDIyK/Xrl3jjky6IoTAlk0VWd3eelhT+SFng2FkZARXr16Nm0HObrejs7MTgUBAxZYRpcYgBKoritVuBmsqj+RkMExOTqKzsxMej2fFe6Ojozhz5gwS9Pgm0gwhBKrLS1BdnrlwKCspWveSFWsqv+RcMEgp4fF44PP51lxmcnISJ0+ejJ0SE2mdwSBgsZgy9iipyWiA0bj6nwPWVP7JuWAYGhrChQsXEi43OTmJS5cuYXZ2NgutItq48hIraitLYMhyPwPWVP7JqWB48OABPv/886SXHx4exvXr19c9EiLSkqryYtRWlSq6TrPJCFvR6uMjsabyU04Fw6NHjxAKhVL6jN1ux8WLF1P+HJFaKkqtig60ZzYZ1xwKgzWVn3IiGMLhMLq6ujAxMZHW558+fYpTp05xRybd+FpDdUbHIGdN5TfdB0MoFEJPTw/u3r2L8AYmOZmamsLZs2d5CkyaJ4RAocWMLZsqFVmfxRw/XxdrinQfDLOzs7h9+7Yi63r69CmuXr3Km2ekeUIImE3GDY+lZDQYsLm2PO411hTpOhgWT3eVZLfbcfXqVT52R5pXWGBGfU0ZCixpz9C7AmuKAB0Hg5QSn332Gb788kvF1z0yMoKzZ8+yww5pXlGhJanxjZLBmqJFug2Gy5cvw263Z2z9ix122NWftG5LXWXaZw3bG2ti/2dN0SJdBoPH41m1a77SJicnceHCBV4fJU0zGAS2balBUWHq9xuEIfJsE2uKltJdMHg8Hly7dg3j4+NZ2d7o6Chu3LjBJytI0wxCoL66PK3PsqZoOV0Gw8jISFa3OTQ0hIsXL3JikmWCwSBu3rypdjMoymwyoqLUlvTytZWlMAjBmtIQrdSUSHAzSFN3inw+H06cOBE37G82VVVVoaOjAwaD7vI0beFwOHbD0Ov14syZM7H3LBYL2traYLVas9WcXJiMOKM1FQ6H8cQxA/ds4hr5WkM1EA6yprJMDzWlm2Bwu904ceIEFhYWVG1HXV0d3njjDRQVFanajkzx+XxxjxX29/fj3r17K5YrLi5GR0dHtn8ODIYkTDjdmHLNItEDQFWlBfjkzGnWVIbpsaZ0EwynTp1Ku3u+0pqamtDc3IziYvUnT9mosbGxuBuBAwMDCS8rVFVV4bXXXkNFRfZmFotiMCRpwunG5PTaN3gLC8z4h5tX4Jp2ZqM5CbGmtFVTyvWMyaAvv/wyK09MJMtut0NKicOHD6OwcPVRKbVKSolbt27FxrAZHh5O6WdbWVmJQ4cOqbEDUwpqKkow5fKu2W/A6XiK+Tl1Lh+thjWlrZrS9BmDlBIjIyPo7OxU7RroempqanD8+PGMTZ6SjuW/z3A4jF/+8pdxrzkcjrQ6GlmtVrS3t6O8vHwjTdwI7fyg05eVmpJSwuufh33MueJ1l8uFR/d/heC89uZqZk1lnf4uJblcLpw4cULTIzRWV1ejvb0dFotFtTYEg8HY0x1+vx+nTp2Ke1+Ja8gFBQX44IMPUFCw9vSPWaCdvxbpy1pNSSkx65vHyPh07I+Wz+dDd/ddyIAPQqp7b2EtrKms0telJCklJiYmNB0KwFcddlpbW2GzJf+o4EYs74w0PDyMnp6ejG2vvLwcbW1tau/AlCIhBEpshaiuKIbD6YlN0RkOzsOg0VAAWFNaoNkzht7eXty4cUOtzaesqakJLS0tGdmRh4eH4XR+dUlgdHQUT548UXw7q6mursahQ4dQVVWVle0lwDOGNHh98xibdGFwaDgyDlI4AENoLtvNSBlrKiv0c8Zw79493L17V+1mpMRut2NhYQFvvvkmTKaN/1ivXLkSG1PG4XCoMoRAWVmZlnZgSpPNWoDJMTsGBwfVbkpKWFPq0VwwSCkxPj6uyx6RY2Nj+MUvfpFyhx0pJT7++OO4SVE8Ho+qI1FaLBa0t7dn7VSeMkdKCffMNMKhEAAJEdLP8NesKXVoqrvhwsICbt68mdERHjNtamoKp0+fTukpKo/Hg5mZGbjd7tg/NXdgm82GDz74QBc7MK1vaU2J4CwgwxDa6Z6UFNZU9mkmGILBILq7u/HrX/9a7aZs2MTEBK5cuZL0qeqnn36qmXHqKysr0dbWprtnyWml5TUlABhC2nvsOxmsqezSTDAEAoFVu4nrld1ux/Xr1zE3t/5Nvv7+/oTLZIsWO9pQ+lhT6tNrTWkiGKSU+Pzzz9VuhuLsdjvOnTu37oTqw8PDmpjy0Gaz4ejRo6ipqUm8MGkea4o1tRGaCIYzZ85gbGxM7WZkxMTEBE6ePLlqh5j79+/j8ePHKrQqXkFBAd577z01e1+SwlhT6tJ7TakeDG63O+cn7JiamsL58+fh9X41BEEgEIDL5Vr3yCcbysrK8P777+vq+ietjzXFmtooVYNhenoaly5dwszMjJrNyIonT57g+vXrsR3Z6XSit7dX1TZVVVXh6NGjunlSghJjTbGmlKBaPwaPx4POzk44HA61mpB1Q0NDWFhYwJEjR1TvwFdeXq6LjjaUPNYUa0opqgyJIaXE1NQUfv7zn2di9ZpXUlICt9ut2giSi5OB6HDsew6JsdZKWVOsqfRoZ3TVmZmZFb0S88kXX3yBwsJC7NmzB2azOWvbLSgoQFtbG6qrqzU1rHEKdNnoZVhTGcCaStuqjc76PYbx8XGcOnUqb3fgmZkZhMNheDwePHz4MGuP1dlsNhw+fBg1NTV63YFpDawp1pTSsh4Md+/e1cQzxmoZHByMDSXudDrR398fG9grUwoLC9Hc3IympqaMbofUwZpiTSktq8Hw8OHDvLoxttzY2Fjc43VAZEe+f/9+xo72hBA4duwYtm7dmpH1k7pYU6ypTMhKMEgpMTQ0hOvXr+ftkU04HIbP51t14iG3243u7m7FJyUyGo149913UVtbq+h6SX2sKdZUJmUlGLxeL86fP6/LobSVMjU1te5EIF6vF729vYoVudVqRVtbGyorK3Pu+iexpgDWVCZlPBiklBgYGMj0ZnLCzMwM+vv7N7wj22w2tLS0oL6+Pud34HzEmkoeayo9GQ+Grq4u3LlzJ9Ob0bRAIJD0uDVOpxMPHz5M+0jQbDbj0KFDOX39M9+xplhTmZbRYLhz5w56eno0My66GqSUCAaDKQ1R4HK50v65fec738GWLVtS/hzpA2uKNZUNGQuGhYUFzMzMKH7zR2+klGl11Z+dnUV3d/eqI0iuxmKxoKOjIye649PqWFMRrKnMy1gwjI2NIRgMorGxEZs3b87UZjRvsfNNOmZnZ/HgwYOE10dtNhuOHDmSkx1t6CusqQjWVOZlZUiMQCAQN2VnT09P0qmtd7dv397wbFKVlZXYuXMnLBbLiveKiopw8ODBfLn+mQsVypraINaUorQzVtKTJ09ip8O9vb0YGRnJxGZUZ7fbMTw8rEhHm9LSUuzduxcGw1cneQaDAe3t7di0adOG168TDIY1sKZSx5oCoKVgWGp+fj72tMDTp0/R2dkZe0/P11LD4TB+85vfYGpqSrF1FhcXY9++fTAYDDAYDDh+/Diqqqry6VQ3F75R1lSaWFMZoc1giNvYkraEw2GcOnUKQKSjilYm907WyMhIRqYYLC0txTe+8Q289dZbqKury6cdGGAwpL4x1lRCrKmVVJuoZzVLfyFGoxHvvfceAGBgYACjo6MAAL/fj+HhYVXal6z5+Xl4PJ6MrXtx3Pc824EpDayp5NbNmoqnqTOGZHi93thOHA6Hcf36dZVbtNLiM9NKM5lMeO6551BZWYktW7bgyJEjKCgoUHw7GpYLVcuaSgNrKmO0fykpVYuzVi26cuWKotcf0xEMBtHd3Q2/36/4ul966SWUlJTEvq6urkZHR0c+HeXkwjfKmkoRayqjci8YlgsGg7Frqo8ePYp1gpFSZuV6qpQSfr8fXV1diq7XaDRi7969q57qVldXo729fdXH7nJQLlQrayoFrKmMy/1gWIvP58Ply5djX4+NjWVkrHYpJW7cuKHokx8FBQXYuXMnKioq1lymoaEBhw4d0uN8s6liMGgEaypn5G8wLNfd3R17nM9ut8PpdCqy3vHxcTx69EixcWwsFgt27NiRVJf8rVu3oqWlBVarVZFtaxSDQaNYU7rFYFjN5ORkbAYoh8OB7u7utNfV3d2t2JMTBoMBe/bsQXl5edKf2bRpE9ra2mAyaephMyUxGHSANaUrDIZEgsFg7AZXKBTCiRMnYkcqiU6Th4aGMDw8rMiRjRACL730Emw2W8o3waqqqtDR0RHXmzOHMBh0hjWleQyGVCz/uVy8eBHT09MAgLm5uRU33gYGBtadTSpZZrMZu3fvRklJSdpPRtTV1eGNN95AUVHRhtujMQwGHWNNaRKDQSlDQ0N4/PhxbCYtv9+P/v5+uFyuDa23oKAA27dvV2SY36amJjQ3N+fazTMGQ45iTalG+z2f9WLr1q3YunUrwuEw6urqMDQ0hOnpafj9/rSnEDSZTNixYwcqKysVaaPdboeUEocPH0ZhYaEi6yTKFNaUtvCMYYPcbjc++eQTuN1ueL3e2GN1ExMTSU89CKzsaKOUmpoaHD9+PFc67OTCN8GaSoA1lVW8lKQ0KSXGx8dx+vTpFe+Fw+HYzbW5ubm47vxL5541Go148cUX07oplqwc6rCTC5XImloHayrrGAxKC4VC+PDDD1P+XG9vL0KhEGw2GxoaGrJyWtrQ0IDW1lbYbLaMbyuDGAw5jjWVdQwGpfX29uLGjRtpfdZqtaKlpQXBYDA2Fs3MzAyGhoaUbGKcpqYmtLS06HlHZjDkONZU1vHms9LSHe3RZDLhtddei83bu337dgCRUS4X/x8KheKGHFCC3W7HwsIC3nzzzVzusEM6xprSBp4xpOnq1at48OBByp1vhBDo6OhAdXX1ustJKeF2u2Nfnz9/HjMzM7H3NkLHHXZ4xpDDWFOq4KUkpczNzeHixYspd74pLCzEsWPHUFtbm/JNsaW9RPv6+tDX1xd7fXZ2NqV1AUBtbS2OHTumtw47DIYcxZpSDYNBKXfv3k15GGCbzYaWlhY0NTUp2haPx4Pbt28DiEx9GAgEkv6sDjvsMBhyFGtKNQwGJbhcLly5cgXj4+NJf6awsBCtra2K78DL9ff3x8alGR0dxcjISMLPNDU1obW1VS8ddhgMOYg1pSoGgxJGRkbwySefJL28EALvvPMOamtrM9iqlWZnZ2OjUs7Ozq570622thZvv/22Hq6PMhhyEGtKVQyGjfL7/fjJT36ChYWFhMsaDAaYTCa0t7ejqqpK1V6S4XA47nT4xIkTse8hGAwiHA6jqqoKb7/9Nsxms1rNTAaDIcewplTHYNgIKSWGh4dx7ty5hMuazWa88sor2LVrlya7zS/9nXd1dcWGGaisrIwNTaxR2vthpo41FcWa0gQGw0ZIKfHRRx/Fdb1fjdFoxIEDB7Bnz54stUw5k5OTCAQCsWfBNUh7fxFSx5qKYk1pAju4ZcPBgwexc+dOtZuRlkTPgROpgTWVfQyGJF24cCHhkc2RI0fwzDPPZKlFRPrGmtIuBkMS5ubmYj0kV2MymfCtb30LzzzzjCavfxJpDWtK2xgMSbh9+3ZsCsLlzGYzXn75ZTz33HNZbhWRfrGmtI3BkIDD4YDD4Vj1PSEEXn31VTz//PNZbhWRfrGmtI/BkIDT6YTT6Vz1vddee43XP4lSxJrSPgbDOpxOJ7744osVrxsMBrS2tmLbtm28/kmUAtaUPjAY1iClhNPpXNEj02w248CBA9i+fTt3YKIUsKb0g8GwhlAohEuXLsW9ZjQasX//fuzatUudRhHpGGtKPxgMa7h169aK1/Tc0YZIbawp/WAwrEJKicHBwbjX2NGGKH2sKX1hMKzi/Pnz8Pl8ACIdbZqbm9nRhmgDWFP6wmBYZmZmJrYDL3a0efbZZ1VuFZF+sab0h8GwTH9/PyYnJyGEwIEDB3hTjGiDWFP6w2BYYmJiAgMDAwCAw4cPY/v27Sq3iEjfWFP6pPl557JFSgmv1wuPxxPrfcnrn0TpY03pF88YorxeLzo7O9Hc3MyONkQKYE3pF2dwi5qfn0d/f78uZ4nKI7nwl4U1RVrCqT1J9xgMRMpataZ4j4GIiOIwGIiIKA6DgYiI4jAYiIgoDoOBiIjiMBiIiCgOg4GIiOIwGIiIKA6DgYiI4jAYiIgoDoOBiIjiMBiIiCgOg4GIiOIwGIiIKA6DgYiI4iSawS0Xxr8n0hLWFGkezxiIiCgOg4GIiOIwGIiIKA6DgYiI4jAYiIgoDoOBiIji/H+ceCdyfjVWgwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import copy\n", "import matplotlib.pyplot as plt\n", "\n", "def mutation(original, size, mtype=\"hard\"):\n", " \"\"\"\n", " Produces a mutation within a collection.\n", " \n", " The mutation can be \"Soft\", \"Medium\", \"Hard\" or as described in this page\n", " (https://alteredqualia.com/visualization/evolve/)\n", " \"\"\"\n", " # Produce a deep copy instead of modifying the original\n", " mutant = copy.deepcopy(original)\n", " \n", " # Randomly selecting the index of polygon to mutate\n", " polidx = np.random.randint(len(mutant))\n", " \n", " if mtype == \"soft\":\n", " # Implementing soft mutation is part of the exercise 2\n", " pass\n", " elif mtype == \"medium\":\n", " # Implementing medium mutation is part of the exercise 2\n", " pass\n", " elif mtype == \"hard\":\n", " # Randomly change the color and transparency\n", " mutant[polidx][\"RGBA\"] = (np.random.randint(0, 256), np.random.randint(0, 256), np.random.randint(0, 256), np.random.randint(0, 256))\n", " \n", " # Replace one of the vertex or random values\n", " vtidx = np.random.randint(len(mutant[polidx][\"vertices\"]))\n", " mutant[polidx][\"vertices\"][vtidx] = (np.random.randint(0, size[0]), np.random.randint(0, size[1]))\n", " \n", " else:\n", " # Raise an error if non of the above\n", " raise ValueError(\"Wrong value for mtype\")\n", " \n", " return(mutant)\n", "\n", "# Create a collection of black semi-transparent triangles\n", "collection = random_triangles(N=3, size=(200,200), colour=\"black\", alpha=100)\n", "# Render the initial collection\n", "original_img = draw(collection, size=(200,200))\n", "# Mutate the original collection\n", "new_collection = mutation(collection, size=(200,200), mtype=\"hard\")\n", "# Render the new mutant image\n", "mutated_img = draw(new_collection, size=(200,200))\n", "\n", "# Plot the original and mutated images side by side\n", "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(7,3))\n", "ax[0].imshow(original_img);\n", "ax[0].set_title(\"Original\")\n", "ax[0].axis('off')\n", "ax[1].imshow(mutated_img);\n", "ax[1].set_title(\"Mutated\")\n", "ax[1].axis('off')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The effect of the \"hard mutation\" is pretty clear if we use a small initial set of black triangles. Only one triangle changes colour and one vertex from it moves somewhere else, the rest stays the same.\n", "\n", "Let's now design the function `triangle_painting_hill_climbing()` that will run the whole process. The main arguments are the target image, the number of triangles of the collection, the maximum number of iterations we want to run the code for and the type of mutation, which is set to \"hard\" by default. As for the general structure, is rather simple. We start generating a random collection of triangles, whose initial configuration is controlled by the `colour_init` and `alpha_init` parameters. That is going to be our first best candidate. Then we compute the fitness of our initial candidate to set our initial fitness. Everything else happens within a `for` loop. Every certain number of iterations, defined by the parameter `every`, we will save the best candidate within the `outdir` directory and store some information in a list that will be converted to a data frame at the end. This information is the round number (or mutations inflicted), the number of improvements (mutations that produced an increase of fitness) and the corresponding image path. If the parameter `logs` is set to `TRUE` the program will also print some of this information while running. In each of the iteration we perform a mutation of our best candidate `best` and save it into a new collection. Then we generate the new image and calculate its pixel difference `newdiff`. If that difference with respect to the target image is lower than our best candidate, then we replace the best candidate and update the pixel difference and fitness. After `maxit` iterations we stop, create the data frame and return it. This data frame contains all the information of the evolution of our best candidates. The images will be stored within the selected folder. Make sure this folder exists in your working directory before running the function, otherwise you'll get an error." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mutations: 0 Improvements: 0 Fitness: 37.59%\n", "Mutations: 100 Improvements: 59 Fitness: 57.46%\n", "Mutations: 200 Improvements: 100 Fitness: 60.87%\n", "Mutations: 300 Improvements: 129 Fitness: 63.23%\n", "Mutations: 400 Improvements: 157 Fitness: 65.21%\n", "Mutations: 500 Improvements: 178 Fitness: 66.77%\n", "Mutations: 600 Improvements: 194 Fitness: 67.47%\n", "Mutations: 700 Improvements: 221 Fitness: 68.9%\n", "Mutations: 800 Improvements: 241 Fitness: 69.44%\n", "Mutations: 900 Improvements: 254 Fitness: 69.85%\n", "Mutations: 1000 Improvements: 266 Fitness: 70.54%\n", "Mutations: 1100 Improvements: 283 Fitness: 70.91%\n", "Mutations: 1200 Improvements: 295 Fitness: 71.25%\n", "Mutations: 1300 Improvements: 314 Fitness: 71.75%\n", "Mutations: 1400 Improvements: 322 Fitness: 72.22%\n", "Mutations: 1500 Improvements: 335 Fitness: 73.08%\n", "Mutations: 1600 Improvements: 345 Fitness: 73.51%\n", "Mutations: 1700 Improvements: 354 Fitness: 73.64%\n", "Mutations: 1800 Improvements: 360 Fitness: 73.68%\n", "Mutations: 1900 Improvements: 369 Fitness: 74.04%\n", "Mutations: 2000 Improvements: 382 Fitness: 74.63%\n" ] } ], "source": [ "import pandas as pd\n", "\n", "def triangle_painting_hill_climbing(target, Ntri=100, maxit=10001, mtype=\"hard\", colour_init=\"black\", alpha_init=100, logs=True, every=500, outdir=\"output_images\"):\n", " \"\"\"\n", " Runs the Hill Climbing algorithm to reproduce the target picture using triangles.\n", " \"\"\"\n", " \n", " size = target.size\n", " # Compute maximum pixel difference for this target \n", " maxdiff = max_pixel_difference(target)\n", " \n", " # Generate an initial candidate \n", " best = random_triangles(Ntri, size=size, colour=colour_init, alpha=alpha_init)\n", " best_img = draw(best, size=size)\n", " # Pixel difference between candidate and target\n", " diff = pixel_difference(best_img,target)\n", " fitness = (1 - diff / maxdiff) * 100\n", " \n", " improvements = 0\n", " \n", " info = []\n", " \n", " for i in range(maxit):\n", " # store information every x rounds\n", " if i%every == 0:\n", " # Print in screen\n", " if logs==True:\n", " print(\"Mutations: \" + str(i) + \" Improvements: \" + str(improvements) + \" Fitness: \" + str(np.round(fitness,2)) + \"%\")\n", " # Save image\n", " best_img = draw(best, size=size)\n", " outpath = outdir + \"/hillclimb_\" + str(i) + \".png\"\n", " best_img.save(outpath)\n", " # output variables\n", " info.append([i, improvements, fitness, outpath])\n", " \n", " # Mutate the best candidate\n", " new = mutation(best, size=size, mtype=mtype)\n", " # Generate a new image\n", " new_img = draw(new, size=size)\n", " # Compute the difference\n", " newdiff = pixel_difference(new_img,target)\n", " \n", " if newdiff < diff:\n", " # If the new is better update the candidate features\n", " diff = newdiff\n", " best = copy.deepcopy(new)\n", " improvements += 1\n", " fitness = (1 - diff / maxdiff) * 100\n", "\n", " dfout = pd.DataFrame(info, columns=[\"mutations\",\"improvements\",\"fitness\",\"image path\"])\n", " \n", " return(dfout)\n", "\n", "df = triangle_painting_hill_climbing(target, Ntri=100, maxit=2001, every=100, mtype=\"hard\", outdir=\"output_images\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, we get some feedback during the execution of the program. This is useful information to estimate how long is going to take and control whether we should tune the `maxit` value.\n", "\n", "It is also interesting to have a look to the output images." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot some organisms\n", "fig, ax = plt.subplots(1,5, figsize=(10,3))\n", "\n", "for i,it in enumerate([0,100,500,1000,2000]):\n", " image_path = \"output_images/hillclimb_\" + str(it) + \".png\"\n", " img = Image.open(image_path).convert(\"RGB\")\n", " ax[i].imshow(img)\n", " ax[i].set_title(\"Iteration: \" + str(it))\n", " ax[i].imshow(img)\n", " ax[i].axis('off')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the last images we can recognise how some areas such as the hair and face start to appear. We are still quite far away from the target but the evolution goes in the clear direction. Using the information returned as a data frame we can plot a nice line chart with the fitness increasing over time, which provides a much more detailed sense of the evolution path." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.xlabel(\"mutations\")\n", "plt.ylabel(\"fitness (%)\")\n", "plt.plot(df[\"mutations\"], df[\"fitness\"], '-', linewidth=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe how different is the impact of the initial mutations with respect to the latest ones. At the beginning the fitness increases very quickly, but as we approach to the end of the probability to encounter beneficial mutations reduces dramatically and the curve starts saturating. This also highlights one of the issues of Hill Climbing algorithm; the importance of initial mutations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Exercise 2:
Implement the two other mutation types, \"soft\" and \"medium\", as explained below:

Soft mutation: This mutation consist in modifying by a small delta (small amount) either one coordinate of one polygon's vertex or one of the RGBA channels from one polygon's colour.
Medium mutation: Changing the colour and one of the vertices as in the hard mutation, but picking only one of the two options at a time.

Finally, run three difference instances of the Hill Climbing algorithm starting from the same random collection but using a different mutation type. Compare the performance curves.

Hint: The soft mutation is not as easy to implement as it seems. For the delta value consider a random integer from -10 to 10, making sure the resulting value does not fall outside the size of the of the canvas when changing vertices or is always within 0 and 255 when changing RGBA channels. Additionally, remember that the tuples are immutable, so you cannot modify the coordinates of a vector or change the value of an RGBA channel. Instead, you need to convert the value into a list, modify it, then convert it back to tuple and replace it with the original.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Genetic Algorithms\n", "---\n", "\n", "We have seen above how the hill climbing algorithm can well be a good way to reproduce a painting using polygons if we give it enough time. However, one of the problems of this that is too dependant on the path history and tends to find [local optimum solutions](https://en.wikipedia.org/wiki/Local_optimum) but can struggle a lot to find a global solution. For example, having several big polygons at the bottom will help to quickly increase the fitness at the beginning. But, as the algorithm approaches late stages, where big changes are likely to reduce the fitness and fine tuning becomes more important, those big initial polygons might suppose a burden. Especially considering that all the rest have been built on top of those. Some changes on them might be necessary to reach high scores for fitness scores, but at the same time any small change in them would immediately reduce the score. Assuming that we perform only one mutation at a time, the situation could be stuck.\n", "\n", "Genetic algorithms, inspired by the Darwinian ideas of [natural selection](https://en.wikipedia.org/wiki/Natural_selection), overcome this problem by making a whole population \"evolve\" rather than just one single organism. This way, a diverse initial population ensures the best candidate would not be constrained to one single evolution path and the parameter exploration can take place from multiple fronts reducing the likelihood to fall into a local maxima trap. The different organisms of the population \"mate\" combining their information and generating new children. The organisms with highest fitness scores are more likely to reproduce, which promotes the combinations that are closer to the target." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In our case, a collection of polygons is considered an organism and all their values for the polygons' vertices and colours represent the genes of its DNA. Thus, a population of organisms would be a list of `Npop` organisms. We can easily create a function `create_pop()` that generates a population of those with random values." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.5, 199.5, 199.5, -0.5)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def create_pop(Npop, N, size, colour_init=\"black\", alpha_init=100):\n", " \"\"\"\n", " Creates a population of organisms.\n", " \n", " Each organism has N triangles randomly initialised.\n", " \"\"\"\n", " \n", " pop=[]\n", " for i in range(Npop):\n", " pop.append(random_triangles(N,size, colour=colour_init, alpha=alpha_init))\n", " \n", " return(pop)\n", "\n", "pop = create_pop(Npop=20,N=100,size=(200,200), colour_init=\"random\", alpha_init=\"random\")\n", "\n", "# Plot some organisms\n", "fig, ax = plt.subplots(1,4, figsize=(10,3))\n", "ax[0].imshow(draw(pop[0],size=(200,200)));\n", "ax[0].axis('off')\n", "ax[1].imshow(draw(pop[1],size=(200,200)));\n", "ax[1].axis('off')\n", "ax[2].imshow(draw(pop[2],size=(200,200)));\n", "ax[2].axis('off')\n", "ax[3].imshow(draw(pop[3],size=(200,200)));\n", "ax[3].axis('off')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see above a sample of different organisms in our population. Each of them has a fitness value associated to it. We have already seen above how we can calculate it, but it's much more convenient to create a function that computes the fitness of each organism of the population. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[47.47725154723963, 42.00752491374051, 45.4370361047005, 41.85237134210771]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def pop_fitness(pop, target):\n", " \"\"\"\n", " Calculates the fitness of each member of a population.\n", " \"\"\"\n", " \n", " size = target.size\n", " # Compute maximum pixel difference for this target \n", " maxdiff = max_pixel_difference(target)\n", " \n", " # Initialise an empty vector\n", " fitvec = []\n", " \n", " for org in pop:\n", " img = draw(org,size)\n", " diff = pixel_difference(img,target)\n", " fitness = (1 - diff / maxdiff) * 100\n", " fitvec.append(fitness)\n", " \n", " return(fitvec)\n", "\n", "popfit = pop_fitness(pop,target)\n", "popfit[:4]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key step of the evolutionary algorithm is the reproduction of their organisms. In this step two organisms combine their gene sequences, represented their coloured polygons, and generate a new organism with part of both parents. The technical term for this in genetic algorithms jargon is called [crossover](https://en.wikipedia.org/wiki/Crossover_(genetic_algorithm)). We can create a function that performs this given two organisms selected from the population. The output will be two children organisms with some genes of each parent. The function randomly defines a crossover point cutting each parent's genes in two parts. The first children's DNA will correspond to first part of the first parent's DNA and the second part of the second parent's DNA, while the second's children DNA will be the opposite.\n", "\n", "![title](crossover_point.png)\n", "\n", "Also, during this process a mutation can occur with a certain probability `pmut`. If this happens we will use the `mutation()` function already implemented over the children's DNA. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.5, 199.5, 199.5, -0.5)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def crossover(parent1, parent2, size, pmut=0.1, mtype=\"hard\"):\n", " \"\"\"\n", " Generates 2 children from 2 parent's DNA.\n", " \"\"\"\n", " # define crossover point (excluding both ends)\n", " cp = np.random.randint(1,len(parent1) - 1)\n", " \n", " # Cut parent1 DNA in halves \n", " dna_11 = parent1[:cp]\n", " dna_12 = parent1[cp:]\n", " \n", " dna_21 = parent2[:cp]\n", " dna_22 = parent2[cp:]\n", " \n", " # merge the pieces of dna\n", " child1 = dna_11 + dna_22\n", " child2 = dna_21 + dna_12\n", " \n", " # mutate childrens' dna with certain probability\n", " if np.random.uniform(0, 1) < pmut:\n", " child1 = mutation(child1,size,mtype)\n", "\n", " if np.random.uniform(0, 1) < pmut:\n", " child2 = mutation(child2,size,mtype)\n", " \n", " return(child1,child2)\n", "\n", "# Create populatio of 4 organisms with 4 triangles\n", "pop = create_pop(Npop=2,N=4,size=(200,200), colour_init=\"random\", alpha_init=\"random\")\n", "child1,child2 = crossover(pop[0], pop[1], (200,200), pmut=0, mtype=\"hard\")\n", "\n", "# Plot 2 parents and 2 childs\n", "fig, ax = plt.subplots(nrows=2, ncols=2)\n", "ax[0,0].imshow(draw(pop[0],size=(200,200)));\n", "ax[0,0].set_title(\"Parent 1\")\n", "ax[0,0].axis('off')\n", "ax[0,1].imshow(draw(pop[1],size=(200,200)));\n", "ax[0,1].set_title(\"Parent 2\")\n", "ax[0,1].axis('off')\n", "ax[1,0].imshow(draw(child1,size=(200,200)));\n", "ax[1,0].set_title(\"Child 1\")\n", "ax[1,0].axis('off')\n", "ax[1,1].imshow(draw(child2,size=(200,200)));\n", "ax[1,1].set_title(\"Child 2\")\n", "ax[1,1].axis('off')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we create a population with just a few triangles and set the mutation probability to 0 (no mutations), we can clearly see which childrens' triangles come from which parents' triangles. If you slightly increase the value for the mutation probability, then you'll see new triangles appearing. Check it out!\n", "\n", "One important issue to resolve now is the way we select the two parents, who gets the chance to reproduce. Although there are many ways to select two individuals from the population we want to make the fittest more likely to be selected. One trick to implement that is by using its fitness as a probability weight. Imagine that we have four organisms A,B,C and D with fitness values of 20%, 40%, 60% and 80%. The idea is to choose one of these letters at random but with different probabilities. Thus, D would be four times more likely two be selected than A and two times more likely than B. The function `choice()` from the `random` library allows to do that:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(['C', 'C', 'D', 'C', 'C', 'C', 'C', 'D', 'D', 'C', 'B', 'B', 'C',\n", " 'D', 'D', 'B', 'C', 'D', 'D', 'D', 'D', 'C', 'D', 'D', 'A', 'C',\n", " 'B', 'D', 'D', 'D', 'A', 'A', 'B', 'D', 'B', 'A', 'B', 'B', 'D',\n", " 'C', 'C', 'B', 'D', 'B', 'B', 'B', 'D', 'C', 'C', 'A'], dtype='" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def new_generation(pop, fitness, size, pmut=0.1, mtype=\"hard\"):\n", " \"\"\"\n", " Creates a new generation.\n", " \"\"\"\n", " \n", " newpop = []\n", " Npop = len(pop)\n", " \n", " # Compute the weights from fitness vector\n", " weights = np.array(fitness) / np.array(fitness).sum()\n", " \n", " for i in range(int(Npop/2)):\n", " # Select the indexes for the parents according to their weights\n", " p1ix,p2ix = np.random.choice(np.arange(len(weights)), size=2, p=weights, replace=False)\n", " # Perform the crossover\n", " child1,child2 = crossover(pop[p1ix], pop[p2ix], size=size, pmut=pmut, mtype=mtype)\n", " # Append the two children to the newpop\n", " newpop.append(child1)\n", " newpop.append(child2)\n", " \n", " return(newpop)\n", "\n", "gen0 = create_pop(Npop=4,N=4,size=(200,200), colour_init=\"random\", alpha_init=\"random\")\n", "# Fake fitness vector\n", "fitness = [91, 65, 37, 5]\n", "\n", "gen1 = new_generation(gen0, fitness, size=(200,200), pmut=0, mtype=\"hard\")\n", "gen2 = new_generation(gen1, fitness, size=(200,200), pmut=0, mtype=\"hard\")\n", "# Plot 3 generations\n", "fig, ax = plt.subplots(nrows=3, ncols=4, figsize=(12,6))\n", "# Plot Gen 0\n", "for i,pop in enumerate([gen0,gen1,gen2]):\n", " for j in range(4):\n", " ax[i,j].imshow(draw(pop[j],size=(200,200)));\n", " ax[i,j].axis('off')\n", " ax[i,j].set_title('G' + str(i) + '-' + str(j))\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above, you have an example of three generations of a population of four organisms with four genes (triangles) in its DNA. Notice how there are genes that disappear while others survive and reproduce. This is governed by a combination of chance and the fitness vector, which in this case is does not depend on a target pictures but instead on arbitrary values that happen to favour organisms with lower index. Thus, the probability to see the triangles of the top left organisms in the bottom row are higher.\n", "\n", "The whole process can be coded into a function `genetic_triangle_painting()` that uses all functions shown above, therefore it requires all their parameters to be input as well. The general structure is quite simple and similar to the `triangle_painting_hill_climbing()` function. It starts by computing the maximum pixel difference and generatinc an initial random population. Immediately after we calculate the fitness of this population. Then, all the evolution will happen inside a `for` loop for `maxgen` iterations. In each iteration we create a new population from the old one using the `new_generation()` function, then we compute the fitness for that new generation. Every certain number of rounds we compile information and save the best candidate image into the indicated directory. Finally, we create a data frame with all the information, wich is the object we return outside the function. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generation: 0 Max. Fitness: 44.97% Avg. Fitness: 38.03%\n", "Generation: 50 Max. Fitness: 48.78% Avg. Fitness: 44.27%\n", "Generation: 100 Max. Fitness: 53.54% Avg. Fitness: 50.43%\n", "Generation: 150 Max. Fitness: 56.79% Avg. Fitness: 53.4%\n", "Generation: 200 Max. Fitness: 56.71% Avg. Fitness: 54.29%\n", "Generation: 250 Max. Fitness: 59.36% Avg. Fitness: 54.53%\n", "Generation: 300 Max. Fitness: 57.57% Avg. Fitness: 56.44%\n", "Generation: 350 Max. Fitness: 56.55% Avg. Fitness: 55.4%\n", "Generation: 400 Max. Fitness: 57.4% Avg. Fitness: 55.16%\n", "Generation: 450 Max. Fitness: 57.41% Avg. Fitness: 55.22%\n", "Generation: 500 Max. Fitness: 56.16% Avg. Fitness: 53.82%\n", "Generation: 550 Max. Fitness: 56.39% Avg. Fitness: 53.84%\n", "Generation: 600 Max. Fitness: 57.25% Avg. Fitness: 54.51%\n", "Generation: 650 Max. Fitness: 56.35% Avg. Fitness: 53.94%\n", "Generation: 700 Max. Fitness: 56.18% Avg. Fitness: 54.91%\n", "Generation: 750 Max. Fitness: 57.2% Avg. Fitness: 54.69%\n", "Generation: 800 Max. Fitness: 59.01% Avg. Fitness: 55.48%\n", "Generation: 850 Max. Fitness: 58.98% Avg. Fitness: 57.6%\n", "Generation: 900 Max. Fitness: 58.54% Avg. Fitness: 57.69%\n", "Generation: 950 Max. Fitness: 58.07% Avg. Fitness: 56.54%\n", "Generation: 1000 Max. Fitness: 57.82% Avg. Fitness: 54.88%\n" ] } ], "source": [ "import pandas as pd\n", "\n", "def genetic_triangle_painting(target, Npop, Ntri=100, maxgen=10, every=20, pmut=0.1, mtype=\"hard\", colour_init=\"random\", alpha_init=\"random\", logs=True, outdir=\"output_images\"):\n", " \"\"\"\n", " Runs the genetic algorithm to reproduce the target picture using triangles.\n", " \"\"\"\n", " \n", " size = target.size\n", " # Compute maximum pixel difference for this target \n", " maxdiff = max_pixel_difference(target)\n", " \n", " # Create initial population (Generation 0)\n", " pop = create_pop(Npop=Npop, N=Ntri, size=size, colour_init=colour_init, alpha_init=alpha_init)\n", " # Compute the fitness\n", " fitness = pop_fitness(pop,target)\n", " \n", " info = []\n", " \n", " for i in range(maxgen):\n", " # store information every x rounds\n", " if i%every == 0:\n", " maxfit = max(fitness)\n", " avgfit = np.mean(fitness)\n", " best_idx = np.argmax(fitness)\n", " best = pop[best_idx]\n", " best_img = draw(best, size=size)\n", " outpath = outdir + \"/generation_\" + str(i) + \".png\"\n", " best_img.save(outpath)\n", " info.append([i, maxfit, avgfit, outpath])\n", " if logs==True:\n", " # Print on screen\n", " print(\"Generation: \" + str(i) + \" Max. Fitness: \" + str(np.round(maxfit,2)) + \"% Avg. Fitness: \" + str(np.round(avgfit,2)) + \"%\")\n", " \n", " # Create next generation\n", " newpop = new_generation(pop, fitness, size=size, pmut=pmut, mtype=mtype)\n", " # Compute the fitness\n", " fitness = pop_fitness(newpop,target)\n", " \n", " pop = newpop\n", " \n", " dfout = pd.DataFrame(info, columns=[\"generation\", \"max_fitness\", \"avg_fitness\", \"outpath\"])\n", " return(dfout)\n", " \n", "df = genetic_triangle_painting(target, 50, Ntri=100, maxgen=1001, every=50, pmut=0.1, mtype=\"hard\", colour_init=\"black\", alpha_init=100, logs=True, outdir=\"output_images\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The execution of this program can take very long, especially as we increase the population and the number of generations. Let's have a look to the performance by plotting the line chart of both best candidate fitness and population average fitness." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.set_xlabel(\"generation\")\n", "ax.set_ylabel(\"fitness (%)\")\n", "ax.plot(df[\"generation\"], df[\"max_fitness\"], '-', linewidth=2, color=\"blue\", label=\"Maximum\")\n", "ax.plot(df[\"generation\"], df[\"avg_fitness\"], '-', linewidth=2, color=\"green\", label=\"Average\")\n", "ax.legend(loc=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The performance for this particular case is not as good as hill climbing algorithm. First of all, one stark difference is the final fitness reached. Even if more mutations are performed in total (total mutations = `Npop` x `pmut` x `maxgen`), the result is well below the hill climbing algorithm. Another important difference is the fitness not increasing in a monotonic fashion. This is partially good, since we avoid the local maxima trap, but it also makes the convergence very slow.\n", "\n", "Genetic algorithms are indeed slow, mainly because make evolve a whole population rather than once single organism. This also makes them computationally expensive. There is also the challenge of coming up with a right set of parameters. For example, if the mutation rate is very high the population cannot keep up with so many changes. Similarly, the size of the population is also a key parameter that controls the initial variety of possible solutions. Correct setting of the parameters depends on the specific problem we are trying to solve. Finding it, it's not usally easy and requires much exploration. [Metaheuristics](https://en.wikipedia.org/wiki/Metaheuristic) is one of the possible procedures that one can try." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Exercise 3:
In the current example, the entire next generation is created by the crossover process. However, one common feature in genetic algorithms is to define a crossover probability \"pcross\" that controls the probability to perform a crossover process between two partners and generate two new offspring for the next generation. The rest of the population of the new generation would be organisms that have survived, hence with copies the exact DNA. Modify the next_generation() function to implement this feature.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "
Notebook by Mario GutiƩrrez-Roig, Lecturer in Data Science and Statistics at the University of Essex \"Licencia
" ] } ], "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", "version": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 4 }