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The evolution of cooperation often depends upon population structure, yet nearly all models of cooperation implicitly assume that this structure remains static. This is a simplifying assumption, because most organisms possess genetic traits…

Populations and Evolution · Quantitative Biology 2012-08-03 Simon T. Powers , Alexandra S. Penn , Richard A. Watson

The simultaneous evolution of two or more species with coupled fitness -- coevolution -- has been put to good use in the field of evolutionary computation. Herein, we present two new forms of coevolutionary algorithms, which we have…

Neural and Evolutionary Computing · Computer Science 2024-01-22 Moshe Sipper , Jason H. Moore , Ryan J. Urbanowicz

We study the probabilities of evolution based on random mutations and natural selection. We conclude that evolution to multicellular eukaryots, or even prokaryots, is unlikely to be the result of only random mutations. Complex organisms…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Hoeneisen , G. Trueba

Mathematical modeling is a powerful tool for describing, predicting, and understanding complex phenomena exhibited by real-world systems. However, identifying the equations that govern a system's dynamics from experimental data remains a…

Neural and Evolutionary Computing · Computer Science 2024-12-05 Omar Rodríguez-Abreo , José Luis Aragón , Mario Alan Quiroz-Juárez

The main power of artificial intelligence is not in modeling what we already know, but in creating solutions that are new. Such solutions exist in extremely large, high-dimensional, and complex search spaces. Population-based search…

Neural and Evolutionary Computing · Computer Science 2021-02-16 Risto Miikkulainen

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

Populations and Evolution · Quantitative Biology 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

In a convergence of machine learning and biology, we reveal that diffusion models are evolutionary algorithms. By considering evolution as a denoising process and reversed evolution as diffusion, we mathematically demonstrate that diffusion…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Yanbo Zhang , Benedikt Hartl , Hananel Hazan , Michael Levin

The theory of natural selection has two forms. Deductive theory describes how populations change over time. One starts with an initial population and some rules for change. From those assumptions, one calculates the future state of the…

Populations and Evolution · Quantitative Biology 2016-11-15 Steven A. Frank

In this paper, we inspect well-known population genetics and social dynamics models. In these models, interacting individuals, while participating in a self-organizing process, give rise to the emergence of complex behaviors and patterns.…

Populations and Evolution · Quantitative Biology 2012-07-11 Sven Banisch , Tanya Araújo

Maintaining genetic diversity as a means to avoid premature convergence is critical in Genetic Programming. Several approaches have been proposed to achieve this, with some focusing on the mating phase from coupling dissimilar solutions to…

Neural and Evolutionary Computing · Computer Science 2023-03-31 José Maria Simões , Nuno Lourenço , Penousal Machado

Co-evolution is a powerful problem-solving approach. However, fitness evaluation in co-evolutionary algorithms can be computationally expensive, as the quality of an individual in one population is defined by its interactions with many (or…

Neural and Evolutionary Computing · Computer Science 2024-04-11 Jack Garbus , Thomas Willkens , Alexander Lalejini , Jordan Pollack

The grand challenges in biology today are being shaped by powerful high-throughput technologies that have revealed the genomes of many organisms, global expression patterns of genes and detailed information about variation within…

Statistics Theory · Mathematics 2007-06-13 Lior Pachter , Bernd Sturmfels

Darwinian evolution requires (i) heritable records, (ii) repeatable copying with variation, and (iii) routine irreversibility. Categorical quantum mechanics (CQM) makes precise why ``copy'' and ``delete'' are not generic quantum operations:…

Quantum Physics · Physics 2026-02-19 Partha Ghose

Social evolutionary theory seeks to explain increases in the scale and complexity of human societies, from origins to present. Over the course of the twentieth century, social evolutionary theory largely fell out of favor as a way of…

Multiagent Systems · Computer Science 2025-02-27 David H. Wolpert , Kyle Harper

To investigate the origin of cooperative behaviors, we developed an evolutionary model of sequential strategies and tested our model with computer simulations. The sequential strategies represented by stochastic machines were evaluated…

Computer Science and Game Theory · Computer Science 2021-01-12 Jin Hong Kuan , Aadesh Salecha

In social situations with which evolutionary game is concerned, individuals are considered to be heterogeneous in various aspects. In particular, they may differently perceive the same outcome of the game owing to heterogeneity in…

Populations and Evolution · Quantitative Biology 2014-03-07 Naoki Masuda

Traditionally, frequency dependent evolutionary dynamics is described by deterministic replicator dynamics assuming implicitly infinite population sizes. Only recently have stochastic processes been introduced to study evolutionary dynamics…

Statistical Mechanics · Physics 2007-05-23 Arne Traulsen , Jens Christian Claussen , Christoph Hauert

The genetic blueprint for the essential functions of life is encoded in DNA, which is translated into proteins -- the engines driving most of our metabolic processes. Recent advancements in genome sequencing have unveiled a vast diversity…

Neural and Evolutionary Computing · Computer Science 2024-06-12 James S. L. Browning , Daniel R. Tauritz , John Beckmann

This paper introduces a variational formulation of natural selection, paying special attention to the nature of "things" and the way that different "kinds" of "things" are individuated from - and influence - each other. We use the Bayesian…

Populations and Evolution · Quantitative Biology 2023-07-05 Karl Friston , Daniel Ari Friedman , Axel Constant , V. Bleu Knight , Thomas Parr , John O. Campbell

In a recent series of papers a surprisingly strong connection was discovered between standard models of evolution in mathematical biology and Multiplicative Weights Updates Algorithm, a ubiquitous model of online learning and optimization.…

Dynamical Systems · Mathematics 2014-10-09 Ruta Mehta , Ioannis Panageas , Georgios Piliouras