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Evolving systems, be it an antibody repertoire in the face of mutating pathogens or a microbial population exposed to varied antibiotics, constantly search for adaptive solutions in time-varying fitness landscapes. Generalists correspond to…

Biological Physics · Physics 2020-07-01 Shenshen Wang , Lei Dai

We investigate a model of evolutionary dynamics on a smooth landscape which features a ``mutator'' allele whose effect is to increase the mutation rate. We show that the expected proportion of mutators far from equilibrium, when the fitness…

patt-sol · Physics 2009-10-30 David A. Kessler , Herbert Levine

Development and growth are complex and tumultuous processes. Modern economic growth theories identify some key determinants of economic growth. However, the relative importance of the determinants remains unknown, and additional variables…

General Economics · Economics 2018-12-05 Angelica Sbardella , Emanuele Pugliese , Andrea Zaccaria , Pasquale Scaramozzino

We investigate the exploration of rugged fitness landscapes by spatially structured populations with demes on the nodes of a graph, connected by migrations. In the rare migration regime, we find that finite structures can adapt more…

Populations and Evolution · Quantitative Biology 2025-02-07 Richard Servajean , Arthur Alexandre , Anne-Florence Bitbol

Molecular evolution is often conceptualised as adaptive walks on rugged fitness landscapes, driven by mutations and constrained by incremental fitness selection. It is well known that epistasis shapes the ruggedness of the landscape's…

Populations and Evolution · Quantitative Biology 2022-11-03 Leonardo Trujillo , Paul Banse , Guillaume Beslon

We explore how physical scale and population size shape the emergence of complex behaviors in open-ended ecological environments. In our setting, agents are unsupervised and have no explicit rewards or learning objectives but instead evolve…

Evolutionary and ecosystem dynamics are often treated as different processes --operating at separate timescales-- even if evidence reveals that rapid evolutionary changes can feed back into ecological interactions. A recent long-term field…

Populations and Evolution · Quantitative Biology 2018-10-04 Paula Villa Martín , Jorge Hidalgo , Rafael Rubio de Casas , Miguel A. Muñoz

Complex networks serve as abstract models for understanding real-world complex systems and provide frameworks for studying structured dynamical systems. This article addresses limitations in current studies on the exploration of individual…

Social and Information Networks · Computer Science 2025-10-14 Bin Pi , Liang-Jian Deng , Minyu Feng , Matjaž Perc , Jürgen Kurths

The word "valley" is a popular term used in intuitively describing fitness landscapes. What is a valley on a fitness landscape? How to identify the direction and location of a valley if it exists? However, such questions are seldom…

Neural and Evolutionary Computing · Computer Science 2018-05-02 Jun He , Tao Xu

The $NK$ model, introduced by Kauffman, Levin, and Weinberger, is a random field used to describe the fitness landscape of certain species with $N$ genetic loci, each interacting with $K$ others. The model has wide applications in…

Probability · Mathematics 2025-08-19 Wei-Kuo Chen , Si Tang

Evolution gave rise to human and animal intelligence here on Earth. We argue that the path to developing artificial human-like-intelligence will pass through mimicking the evolutionary process in a nature-like simulation. In Nature, there…

Artificial Intelligence · Computer Science 2020-05-07 João P. Abrantes , Arnaldo J. Abrantes , Frans A. Oliehoek

We study biological evolution on a random fitness landscape where correlations are introduced through a linear fitness gradient of strength $c$. When selection is strong and mutations rare the dynamics is a directed uphill walk that…

Populations and Evolution · Quantitative Biology 2015-04-16 Su-Chan Park , Ivan G. Szendro , Johannes Neidhart , Joachim Krug

Existing theories for the evolution of aging and death treat senescence as a side-effect of strong selection for fertility. These theories are well-developed mathematically, but fit poorly with emerging experimental data. The data suggest…

Populations and Evolution · Quantitative Biology 2007-05-23 Josh Mitteldorf

Epochal dynamics, in which long periods of stasis in an evolving population are punctuated by a sudden burst of change, is a common behavior in both natural and artificial evolutionary processes. We analyze the population dynamics for a…

adap-org · Physics 2007-05-23 Erik van Nimwegen , James P. Crutchfield

The adaptive evolution of a population under the influence of mutation and selection is strongly influenced by the structure of the underlying fitness landscape, which encodes the interactions between mutations at different genetic loci.…

Populations and Evolution · Quantitative Biology 2015-06-04 Jasper Franke , Joachim Krug

Much of the current theory of adaptation is based on Gillespie's mutational landscape model (MLM), which assumes that the fitness values of genotypes linked by single mutational steps are independent random variables. On the other hand, a…

Populations and Evolution · Quantitative Biology 2014-11-11 Johannes Neidhart , Ivan G. Szendro , Joachim Krug

The adaptation process of a species to a new environment is a significant area of study in biology. As part of natural selection, adaptation is a mutation process which improves survival skills and reproductive functions of species. Here,…

Populations and Evolution · Quantitative Biology 2017-10-27 Maria Kleshnina , Jerzy A. Filar , Vladimir Ejov , Jody C. McKerral

Deep neural networks proved to be a very useful and powerful tool with many practical applications. They especially excel at learning from large data sets with labeled samples. However, in order to achieve good learning results, the network…

Neural and Evolutionary Computing · Computer Science 2018-01-03 Włodzimierz Funika , Paweł Koperek

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

Populations and Evolution · Quantitative Biology 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

Meta-learning models, or models that learn to learn, have been a long-desired target for their ability to quickly solve new tasks. Traditional meta-learning methods can require expensive inner and outer loops, thus there is demand for…

Neural and Evolutionary Computing · Computer Science 2021-03-12 Kevin Frans , Olaf Witkowski