From eaf2e7e111b03e31ebef84258b25818d3efa2a3b Mon Sep 17 00:00:00 2001 From: Kai Koellemann Date: Sun, 16 Jul 2023 19:16:43 +0200 Subject: [PATCH] Am Konzept weitergearbeitet --- Abschlussprojekt/genome.py | 22 ++++++- Abschlussprojekt/neat.ipynb | 126 +++++++++++++++++++++++++++++++----- 2 files changed, 129 insertions(+), 19 deletions(-) diff --git a/Abschlussprojekt/genome.py b/Abschlussprojekt/genome.py index f59c64d..22ca903 100644 --- a/Abschlussprojekt/genome.py +++ b/Abschlussprojekt/genome.py @@ -2,7 +2,8 @@ from __future__ import annotations from dataclasses import dataclass from enum import Enum -from random import choice +from random import choice, random +import networkx as nx class NodeType(Enum): @@ -89,7 +90,7 @@ class Genome: def mutate(genome: Genome) -> None: - mutation = choice([MutationType.ADD_NODE]) + mutation = choice([MutationType.ADD_CONNECTION]) if mutation is MutationType.ADD_CONNECTION: _mutate_add_connection(genome) @@ -103,7 +104,22 @@ def _mutate_add_connection(genome: Genome) -> None: is added connecting two previously unconnected nodes. """ - ... + from_node = choice([node for node in genome.nodes if not node.type != NodeType.OUTPUT]) + + inputs = [node.id for node in genome.nodes.values() if node.type == NodeType.INPUT] + distance_to_input = _distance_to_input(genome, from_node, inputs) + to_node = choice([node for node in genome.nodes if _distance_to_input(genome, node, inputs) < distance_to_input and tuple[from_node, node] not in genome.connections]) + + genome.add_connection(from_node, to_node, weight=random.uniform(0,1)) + + +def _distance_to_input(g: Genome, node, inputs) -> int: + paths = [] + for input_node in inputs: + paths += list(nx.all_simple_paths(g, input_node, node)) + + path_lengths = [len(path) for path in paths] + return max(path_lengths) def _mutate_add_node(genome: Genome) -> None: diff --git a/Abschlussprojekt/neat.ipynb b/Abschlussprojekt/neat.ipynb index 09215d3..3a2c355 100644 --- a/Abschlussprojekt/neat.ipynb +++ b/Abschlussprojekt/neat.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -10,16 +10,41 @@ "import visualization" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Agenda\n", + "\n", + "1. Ausgangssituation NEAT\n", + "2. Mutation\n", + "3. Reproduktion\n", + "4. Selektion\n", + "5. Rekombination" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ausgangssituation zum Start\n", + "NEAT startet ohne hidden nodes, fully connected mit zufälligen Gewichten\n", + "\n", + "\n" + ] + }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 64, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" + "
" ] }, "metadata": {}, @@ -32,23 +57,30 @@ "visualization.genome(g1)\n" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Mutation\n", + "\n", + "Neben der normalen Mutation von Gewichten, gibt es zwei Arten von struktureller Mutationen beim Neat-Algorithmus:\n", + "- Einen Knoten hinzufügen (Kante zum Knoten erhält Gewicht 1, Kante vom neuen Knoten weg erhält das vorige Gewicht)\n", + "- Eine Kante hinzufügen (mit einem zufälligen Gewicht)\n", + "\n", + "Neue Kanten erhalten eine 'Innovation number' um den Ursprung der Gene über die Evolution hinweg zu erhalten." + ] + }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 90, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "ConnectionGene(nodes=(0, 4), weight=1, innovation_no=1, disabled=False)\n" - ] - }, { "data": { - "image/png": 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", + "image/png": 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" ] }, "metadata": {}, @@ -60,6 +92,63 @@ "\n", "visualization.genome(g1)" ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Reproduktion\n", + "\n", + "Dank der 'Innovation number' kann nachvollzogen werden, welche Gene zusammenpassen. Alle anderen Gene sind entweder disjoint oder excess. Anhand dessen kann man mit unterschiedlich strukturierten Eltern einen Offspring generieren.\n", + "\n", + "TODO: An einem Beispiel zeigen, wie Gene zugeordet werden und 2 Eltern einen Offspring erzeugen" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "'module' object is not callable", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[91], line 10\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m \u001b[39mrange\u001b[39m(\u001b[39m4\u001b[39m):\n\u001b[1;32m 8\u001b[0m mutate(parent2)\n\u001b[0;32m---> 10\u001b[0m visualization(parent1)\n\u001b[1;32m 11\u001b[0m visualization(parent2)\n", + "\u001b[0;31mTypeError\u001b[0m: 'module' object is not callable" + ] + } + ], + "source": [ + "parent1 = Genome.new(3, 2)\n", + "for i in range(10):\n", + " mutate(parent1)\n", + "\n", + "parent2 = parent1\n", + "\n", + "for i in range(4):\n", + " mutate(parent2)\n", + "\n", + "visualization.genome(parent1)\n", + "visualization.genome(parent2)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Selektion\n", + "\n", + "Für die Selektion treten nur Genome gegeneinander an, die eine vergleichbare Topologie haben => Species.\n", + "TODO: Mehrere Genome in Spezien einteilen, ggf. mehrere Durchläufe mit verschiedenen c-Werten\n", + "\n", + "Die Fitness wird immer relativ zur Spezies berechnet, sodass Spezien erhalten bleiben und die stärkste Spezies nicht alle anderen Spezien verdrängt.\n", + "TODO: Zwei Spezien - eine große, eine kleine - mitsamt Fitnesswerten. Zeigen wer rausfliegt und wer nicht" + ] } ], "metadata": { @@ -78,9 +167,14 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.1" + "version": "3.10.12" }, - "orig_nbformat": 4 + "orig_nbformat": 4, + "vscode": { + "interpreter": { + "hash": "bd385fe162c5ca0c84973b7dd5c518456272446b2b64e67c2a69f949ca7a1754" + } + } }, "nbformat": 4, "nbformat_minor": 2