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Master's Thesis Mathematics - Evolutionary Game Theory

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Minimizing highly nonconvex functions using Evolutionary Game Theory

This repository provides the code corresponding to my Master's Thesis "Evolutionary Games for Global Function Minimization".

Two notable ressources are the papers "Spatially Inhomogeneous Evolutionary Games" by Luigi Ambrosio, Massimo Fornasier, Marco Morandotti and Giuseppe Savaré, which developed the underlying theory on which my thesis built on, as well as "An analytical framework for a consensus-based global optimization method"https://arxiv.org/abs/1602.00220) from José A. Carrillo, Young-Pil Choi, Claudia Titzeck and Oliver Tse, which provided a well-performing comparison and inspiration.

Usage

In order to provide multiple examples which were also used in the thesis, I provide the scripts contained in bin/ which start the algorithm with specific parameters. For example:

./bin/small_demo