Lotka-Volterra Model with Mutations and Generative Adversarial Networks

Fuente: arXiv
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Main Author: Kozyrev, S. V.
Format: Preprint
Published: 2024
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author Kozyrev, S. V.
author_facet Kozyrev, S. V.
contents A model of population genetics of the Lotka-Volterra type with mutations on a statistical manifold is introduced. Mutations in the model are described by diffusion on a statistical manifold with a generator in the form of a Laplace-Beltrami operator with a Fisher-Rao metric, that is, the model combines population genetics and information geometry. This model describes a generalization of the model of machine learning theory, the model of generative adversarial network (GAN), to the case of populations of generative adversarial networks. The introduced model describes the control of overfitting for generative adversarial networks.
format Preprint
id arxiv_https___arxiv_org_abs_2402_19035
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lotka-Volterra Model with Mutations and Generative Adversarial Networks
Kozyrev, S. V.
Populations and Evolution
A model of population genetics of the Lotka-Volterra type with mutations on a statistical manifold is introduced. Mutations in the model are described by diffusion on a statistical manifold with a generator in the form of a Laplace-Beltrami operator with a Fisher-Rao metric, that is, the model combines population genetics and information geometry. This model describes a generalization of the model of machine learning theory, the model of generative adversarial network (GAN), to the case of populations of generative adversarial networks. The introduced model describes the control of overfitting for generative adversarial networks.
title Lotka-Volterra Model with Mutations and Generative Adversarial Networks
topic Populations and Evolution
url https://arxiv.org/abs/2402.19035