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Although recent model-free reinforcement learning algorithms have been shown to be capable of mastering complicated decision-making tasks, the sample complexity of these methods has remained a hurdle to utilizing them in many real-world…

Machine Learning · Computer Science 2020-04-21 Saeed Moazami , Peggy Doerschuk

When a neural network can learn multiple distinct algorithms to solve a task, how does it "choose" between them during training? To approach this question, we take inspiration from ecology: when multiple species coexist, they eventually…

Machine Learning · Computer Science 2024-05-28 Xiaoman Delores Ding , Zifan Carl Guo , Eric J. Michaud , Ziming Liu , Max Tegmark

We are concerned with the persistence of both predator and prey in a diffusive predator-prey system with a climate change effect, which is modeled by a spatial-temporal heterogeneity depending on a moving variable. Moreover, we consider…

Analysis of PDEs · Mathematics 2021-05-10 Wonhyung Choi , Thomas Giletti , Jong-Shenq Guo

What determines whether an organism or collective will survive under particular conditions? This question is asked across the life sciences when determining adaptive fit, developing efficacious treatments for diseases, and assessing the…

Quantitative Methods · Quantitative Biology 2026-05-19 Connor McShaffrey , Randall D. Beer

How should dispersal strategies be chosen to increase the likelihood of survival of a species? We obtain the answer for the spatially extended versions of three well-known models of two competing species with unequal diffusivities. Though…

Populations and Evolution · Quantitative Biology 2020-07-08 Tapas Singha , Prasad Perlekar , Mustansir Barma

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

Populations and Evolution · Quantitative Biology 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

We propose two models of the evolution of a pair of competing populations. Both are lattice based. The first is a compromise between fully spatial models, which do not appear amenable to analytic results, and interacting particle system…

Probability · Mathematics 2009-09-29 Jochen Blath , Alison Etheridge , Mark Meredith

We calculate survival probability of a special state which couples randomly to a regular or chaotic environment. The environment is modelled by a suitably chosen random matrix ensemble. The exact results exhibit non--perturbative features…

Quantum Physics · Physics 2015-05-14 Heiner Kohler , Hans Juergen Sommers , Sven Aberg

In biology and ecology, individuals or communities of individuals living in unpredictable environments often alternate between different evolutionary strategies to spread and reduce risks. Such behavior is commonly referred to as…

Populations and Evolution · Quantitative Biology 2015-03-11 Jorge Hidalgo , Simone Pigolotti , Miguel A. Munoz

We extend the study of a model of competitive cluster growth in an active medium to a basis of networks; this is done by adding nonlocal connections with probability $p$ to sites on a regular lattice, thus enabling one to interpolate…

Statistical Mechanics · Physics 2010-12-10 N. Nirmal Thyagu , Anita Mehta

We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significant differences with classical results on fixed domains. After…

Analysis of PDEs · Mathematics 2025-06-05 Matthieu Alfaro , Adel Blouza , Nessim Dhaouadi

The capability of predicting environmental dynamics underpins both biological neural systems and general embodied AI in adapting to their surroundings. Yet prevailing approaches rest on static world models that falter when confronted with…

Machine Learning · Computer Science 2026-03-02 Fan Wang , Zhiyuan Chen , Yuxuan Zhong , Sunjian Zheng , Pengtao Shao , Bo Yu , Shaoshan Liu , Jianan Wang , Ning Ding , Yang Cao , Yu Kang

Humankind has spread worldwide supported by cultural and technological knowledge, but the environmental sustainability on the human niche evolution depends on a new human beings relationship with the biosphere. Human lifestyles nowadays are…

Populations and Evolution · Quantitative Biology 2022-01-03 Miguel da Silva Pinheiro , Pablo José Francisco Pena Rodrigues

We propose a simple model for genetic adaptation to a changing environment, describing a fitness landscape characterized by two maxima. One is associated with "specialist" individuals that are adapted to the environment; this maximum moves…

Populations and Evolution · Quantitative Biology 2013-04-24 Andrea Baronchelli , Nick Chater , Morten H. Christiansen , Romualdo Pastor-Satorras

We investigate the competition dynamics of two microbial or viral strains that live in an environment that switches periodically between two states. One of the strains is adapted to the long-term environment, but pays a short-term cost,…

Populations and Evolution · Quantitative Biology 2013-05-29 Robert Forster , Claus O. Wilke

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

In both natural and artificial studies, evolution is often seen as synonymous to natural selection. Individuals evolve under pressures set by environments that are either reset or do not carry over significant changes from previous…

Populations and Evolution · Quantitative Biology 2023-05-17 Eleni Nisioti , Clément Moulin-Frier

Despite the obvious advantage of simple life forms capable of fast replication, different levels of cognitive complexity have been achieved by living systems in terms of their potential to cope with environmental uncertainty. Against the…

Populations and Evolution · Quantitative Biology 2017-10-18 Luís F Seoane , Ricard Solé

We consider a simple-model population, whose individuals react with a certain delay to temporal variations of their habitat. We investigate the impact of such a delayed-answer on the survival chances of the population, both in a…

Populations and Evolution · Quantitative Biology 2008-01-18 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

Varying environmental conditions affect relations between interacting individuals in social dilemmas, thus affecting also the evolution of cooperation. Oftentimes these environmental variations are seasonal and can therefore be…

Physics and Society · Physics 2019-09-02 Attila Szolnoki , Matjaz Perc