diff --git a/Aufgabe 2/aufgabe02.ipynb b/Aufgabe 2/aufgabe02.ipynb index 826c819..bf4dab7 100644 --- a/Aufgabe 2/aufgabe02.ipynb +++ b/Aufgabe 2/aufgabe02.ipynb @@ -1,15 +1,47 @@ { "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Aufgabenblatt 2" + ] + }, { "cell_type": "code", - "execution_count": 318, + "execution_count": 138, + "metadata": {}, + "outputs": [], + "source": [ + "# Imports\n", + "\n", + "import networkx as nx\n", + "from random import randint, sample\n", + "import numpy as np" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Aufgabe 1\n", + "\n", + "Schreiben Sie eine Funktion, die zufällig einen Graphen mit einer ubergebenen Anzahl an\n", + "Kanten und Knoten erstellt. Verwenden sie hierfür die `networkx`-Bibliothek." + ] + }, + { + "cell_type": "code", + "execution_count": 139, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] }, "metadata": {}, @@ -17,13 +49,6 @@ } ], "source": [ - "# Exercise 2\n", - "import networkx as nx\n", - "from random import randint, sample\n", - "import time\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# Aufgabe 1\n", "def generate_graph(nodes: int, edges: int) -> nx.Graph:\n", " G = nx.Graph()\n", " G.add_nodes_from(range(nodes))\n", @@ -34,104 +59,133 @@ "nx.draw(G, with_labels=True)" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Aufgabe 2\n", + "\n", + "Nun soll eine Funktion implementiert werden, die die Fitness für eine Lösung berechnet,\n", + "machen Sie sich an dieser Stelle Gedanken, wie die Lösungen repräsentiert werden sollen und\n", + "ob ungültige Lösungen berücksichtigt werden müssen." + ] + }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 140, "metadata": {}, "outputs": [], "source": [ - "# Aufgabe 2\n", - "\n", - "def fitness(G: nx.Graph, solution : list) -> float:\n", + "def fitness(G: nx.Graph, solution : list) -> int:\n", " for a in solution:\n", " for b in solution:\n", " if a == b:\n", " continue\n", - " if (a,b) not in G.edges:\n", + " if not G.has_edge(a, b):\n", " return 0\n", " \n", " return len(solution) " ] }, { - "cell_type": "code", - "execution_count": 358, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# Aufgabe 3\n", - "def solve(G: nx.Graph, pop_size: int, generations: int) -> list:\n", - " #initialize random\n", - " pop = [sample(list(G.nodes), 2) for _ in range(pop_size)]\n", + "## Aufgabe 3\n", "\n", - "\n", - " for _ in range(generations):\n", - "\n", - " # termination condition\n", - " if max(pop, key=len) == len(G.nodes):\n", - " return max(pop, key=len)\n", - "\n", - " #selection\n", - " best_indi = [0]\n", - " for indi in pop:\n", - " if fitness(G, indi) == 0: #individual of pop is no clique --> remove individual from pop\n", - " pop.remove(indi)\n", - " elif fitness(G, indi) > fitness(G, best_indi):\n", - " best_indi = indi\n", - " #pop = sorted(pop, key=len)[-30:] # only take the best 10 individuals\n", - "\n", - " #recombination\n", - " new_pop = pop\n", - " for _ in range(pop_size - len(pop)):\n", - " #child = parent_a + parent_b\n", - " parent_a = pop[randint(0, len(pop)-1)]\n", - " parent_b = pop[randint(0, len(pop)-1)]\n", - " child = list(set(parent_a + parent_b))\n", - " new_pop.append(child)\n", - " pop = new_pop\n", - " \n", - " \n", - " #mutation\n", - " for indi in pop:\n", - " #add random node to individual\n", - " if fitness(G, indi) >= fitness(G, best_indi): #no not mutate best individual \n", - " continue\n", - " rand = randint(0,10)\n", - " if rand % 3 == 0: #mutation only for approx 1/3 of the pop\n", - " nodes_not_in_indi = []\n", - " for node in G.nodes:\n", - " if node not in indi:\n", - " nodes_not_in_indi.append(node)\n", - " if len(nodes_not_in_indi) > 0:\n", - " indi.append(sample(nodes_not_in_indi, 1)[0])\n", - "\n", - " #print(len(best_indi))\n", - "\n", - " best_indi = [0]\n", - " for indi in pop:\n", - " if fitness(G, indi) > fitness(G, best_indi):\n", - " best_indi = indi\n", - " return best_indi\n" + "Implementieren Sie einen evolutionären Algorithmus, der den Lösungsraum nach optimalen\n", + "Lösungen durchsucht. Verwenden Sie bei der Reproduktion Mutation sowie auch Crossover.\n", + "Uberprüfen Sie außerdem, ob ihr Algorithmus wirklich eine maximale Clique findet. Dazu\n", + "kann die `find_clique()`-Funktion von `networkx` verwendet werden." ] }, { "cell_type": "code", - "execution_count": 401, + "execution_count": 141, + "metadata": {}, + "outputs": [], + "source": [ + "rng = np.random.default_rng()\n", + "\n", + "def clique(G: nx.Graph, generations: int = 50, population_size: int = 10, selection_size: int = 3) -> list:\n", + "\n", + " # Initial population\n", + " population = [sample(list(G.nodes), randint(1, G.number_of_nodes())) for _ in range(population_size)]\n", + "\n", + " # Evolution\n", + " for _ in range(generations):\n", + "\n", + " # Death penalty (regenerate solution until valid)\n", + " for i, individual in enumerate(population):\n", + " while fitness(G, individual) == 0:\n", + " individual = sample(list(G.nodes), randint(1, G.number_of_nodes()))\n", + " population[i] = individual\n", + "\n", + " # Select individuals with highest fitness for reproduction\n", + " population = sorted(population, key=lambda p: fitness(G, p), reverse=True)\n", + " selection = population[:selection_size]\n", + "\n", + " # Reproduce\n", + " offsprings = []\n", + " for _ in range(population_size - selection_size):\n", + "\n", + " mother, father = sample(selection, 2)\n", + "\n", + " # Each offspring consists of nodes contained in the parent.\n", + " # The number of nodes is randomly chosen as a value between len(mother) and len(father).\n", + " num_nodes = randint(*sorted((len(mother), len(father))))\n", + " offspring = sample(list(set(mother + father)), num_nodes)\n", + "\n", + " # Mutate offspring by randomly removing or adding nodes\n", + " m = int(rng.normal())\n", + " if m < 0: # Remove m nodes\n", + " offspring = sample(offspring, max(1, num_nodes + m))\n", + " elif m > 0: # Add m nodes if possible\n", + " available_nodes = list(set(G.nodes) - set(offspring))\n", + " offspring += sample(available_nodes, min(len(available_nodes), m))\n", + "\n", + " offsprings.append(offspring)\n", + "\n", + " # Create new population\n", + " population = selection + offsprings\n", + "\n", + " # Return best individual of final population\n", + " return max(population, key=lambda p: fitness(G, p))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Aufgabe 4\n", + "\n", + "Plotten Sie den in Aufgabe 1 generierten Graphen. Knoten, die zu der maximalen Clique\n", + "gehören, die der EA bestimmt hat, sollen dabei farblich hervorgehoben werden." + ] + }, + { + "cell_type": "code", + "execution_count": 142, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Solution: 4\n", - "Right solution: 4\n" + "Fitness of solution: 4\n", + "Number of nodes in solution: 4\n", + "Correct solution found: True\n", + "Correct number of nodes in maximum clique: 4\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] }, "metadata": {}, @@ -139,48 +193,73 @@ } ], "source": [ - "# Aufgabe 4\n", "def draw_solution(G: nx.Graph, solution: list):\n", " pos = nx.spring_layout(G)\n", "\n", + " # Filter largest cliques from nx.find_cliques\n", + " clique_number = max(len(c) for c in nx.find_cliques(G))\n", + " cliques = [set(clique) for clique in nx.find_cliques(G) if len(clique) == clique_number]\n", + "\n", + " # Draw nodes\n", " nx.draw_networkx_nodes(G, pos, nodelist=[n for n in G.nodes if n not in solution], node_color=\"tab:blue\")\n", " nx.draw_networkx_nodes(G, pos, nodelist=solution, node_color=\"tab:red\")\n", "\n", + " # Draw edges\n", " nx.draw_networkx_edges(G, pos)\n", " nx.draw_networkx_labels(G, pos, {n:n for n in G.nodes})\n", - " \n", "\n", - "G = generate_graph(12,50)\n", - "solution = solve(G, 50, 50)\n", + " # Information\n", + " print(f\"Fitness of solution: {fitness(G, solution)}\")\n", + " print(f\"Number of nodes in solution: {len(solution)}\")\n", + " print(f\"Correct solution found: {set(solution) in cliques}\")\n", + " print(f\"Correct number of nodes in maximum clique: {clique_number}\")\n", "\n", - "draw_solution(G, solution)\n", - "print(\"Solution: \" + str(len(solution)))\n", "\n", - "max_cliques = nx.find_cliques(G)\n", - "print(\"Right solution: \" + str(len(max(max_cliques, key=len))))\n", - "\n" + "\n", + "G = generate_graph(10,40)\n", + "solution = clique(G, generations=200, population_size=20, selection_size=3)\n", + "\n", + "draw_solution(G, solution)" ] }, { "cell_type": "code", - "execution_count": 402, + "execution_count": 143, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stdout", + "output_type": "stream", + "text": [ + "Test run: iteration=(1000/1000), success=960, failure=40, rate=0.96\r" + ] } ], "source": [ - "# drawing biggest clique of find_cliques\n", - "max_cliques = nx.find_cliques(G)\n", - "draw_solution(G, max(max_cliques, key=len))" + "# Test evolutional algorithm\n", + "\n", + "iterations = 1000\n", + "success = 0\n", + "failure = 0\n", + "\n", + "for i in range(iterations):\n", + " \n", + " # Generate graph and solve\n", + " G = generate_graph(10,40)\n", + " solution = clique(G, generations=50, population_size=20, selection_size=5)\n", + " #solution = solve(G, 30, 50)\n", + "\n", + " # Check if solution correct\n", + " clique_number = max(len(c) for c in nx.find_cliques(G))\n", + " cliques = [set(clique) for clique in nx.find_cliques(G) if len(clique) == clique_number]\n", + "\n", + " if set(solution) in cliques:\n", + " success += 1\n", + " else:\n", + " failure += 1\n", + "\n", + " # Print results\n", + " print(f\"Test run: iteration=({i+1}/{iterations}), {success=}, {failure=}, rate={success/(i+1):.2f}\", end=\"\\r\")" ] } ], @@ -200,7 +279,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.10.1" }, "orig_nbformat": 4, "vscode": {