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Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems. Including spatial structure and stochastic noise in predator-prey…

Statistical Mechanics · Physics 2018-01-09 Ulrich Dobramysl , Mauro Mobilia , Michel Pleimling , Uwe C. Täuber

Recent research has generated hope that inference scaling, such as resampling solutions until they pass verifiers like unit tests, could allow weaker models to match stronger ones. Beyond inference, this approach also enables training…

Machine Learning · Computer Science 2026-03-27 Benedikt Stroebl , Sayash Kapoor , Arvind Narayanan

By framing reinforcement learning as a sequence modeling problem, recent work has enabled the use of generative models, such as diffusion models, for planning. While these models are effective in predicting long-horizon state trajectories…

The analysis of the evolutionary dynamics of a population with many polymorphic loci is challenging since a large number of possible genotypes needs to be tracked. In the absence of analytical solutions, forward computer simulations are an…

Populations and Evolution · Quantitative Biology 2012-07-31 Fabio Zanini , Richard A. Neher

A generative recurrent neural network is quickly trained in an unsupervised manner to model popular reinforcement learning environments through compressed spatio-temporal representations. The world model's extracted features are fed into…

Machine Learning · Computer Science 2018-09-07 David Ha , Jürgen Schmidhuber

Meta-population networks are effective tools for capturing population movement across distinct regions, but the assumption of well-mixed regions fails to capture the reality of population higher-order interactions. As a multidimensional…

Physics and Society · Physics 2024-06-18 Yanyi Nie , Yanbing Liu , Qixuan Cao , Tao Lin , Wei Wang

Genetic fitness optimization using small populations or small population updates across generations generally suffers from randomly diverging evolutions. We propose a notion of highly probable fitness optimization through feasible…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Paul Vitanyi

This paper examines the use of a hierarchical coevolutionary genetic algorithm under different partnering strategies. Cascading clusters of sub-populations are built from the bottom up, with higher-level sub-populations optimising larger…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin , Larry Bull

Given an unknown dynamical system, what is the minimum number of samples needed for effective learning of its governing laws and accurate prediction of its future evolution behavior, and how to select these critical samples? In this work,…

Machine Learning · Computer Science 2024-01-15 Ce Zhang , Kailiang Wu , Zhihai He

We study the problem of high-dimensional regression when there may be interacting variables. Approaches using sparsity-inducing penalty functions such as the Lasso can be useful for producing interpretable models. However, when the number…

Methodology · Statistics 2016-12-30 Rajen D. Shah

Lexicase selection is a successful parent selection method in genetic programming that has outperformed other methods across multiple benchmark suites. Unlike other selection methods that require explicit parameters to function, such as…

Neural and Evolutionary Computing · Computer Science 2024-07-23 Jose Guadalupe Hernandez , Anil Kumar Saini , Jason H. Moore

We study the evolution of recombination using a microscopic model developed within the frame of the theory of quantitative traits. Two components of fitness are considered: a static one that describes adaptation to environmental factors not…

Populations and Evolution · Quantitative Biology 2007-05-23 Franco Bagnoli , Carlo Guardiani

Many biological systems exhibit multiscale dynamics, where some species occur in high copy numbers while others remain rare. This heterogeneity necessitates hybrid modelling approaches: deterministic models are computationally efficient but…

Populations and Evolution · Quantitative Biology 2026-01-21 Tom Kimpson , Domenic P. J. Germano , Jennifer A. Flegg , Mark B. Flegg

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…

The dynamics of a population exhibiting exponential growth can be modelled as a birth-death process, which naturally captures the stochastic variation in population size over time. In this article, we consider a supercritical birth-death…

Populations and Evolution · Quantitative Biology 2020-05-07 Anastasia Ignatieva , Jotun Hein , Paul A. Jenkins

The persistence of populations depends on the minimum habitat area required for survival, known as the critical patch size. While most studies assume purely diffusive movement, additional movement components can significantly alter habitat…

Statistical Mechanics · Physics 2025-07-11 Luiz Menon , Pablo de Castro , Celia Anteneodo

Phylogenetic comparative methods (PCMs) are widely used to study trait evolution. However, many evolutionary histories involve reticulate evolutionary scenarios, such as hybridization, that violate core assumptions of these methods. In this…

Populations and Evolution · Quantitative Biology 2026-03-30 Lydia Morley , Emma Lehmberg , Sungsik Kong

Capture-recapture studies are widely used to obtain information about abundance (population size or density) of animal populations. A common design is that in which multiple distinct populations are sampled, and the research objective is…

Methodology · Statistics 2012-11-27 J. Andrew Royle , Sarah J. Converse , William A. Link

Modern biotechnologies often result in high-dimensional data sets with much more variables than observations (n $\ll$ p). These data sets pose new challenges to statistical analysis: Variable selection becomes one of the most important…

Machine Learning · Statistics 2014-11-06 Benjamin Hofner , Luigi Boccuto , Markus Göker

Diffusion Models represent a significant advancement in generative modeling, employing a dual-phase process that first degrades domain-specific information via Gaussian noise and restores it through a trainable model. This framework enables…

Neural and Evolutionary Computing · Computer Science 2024-11-21 Benedikt Hartl , Yanbo Zhang , Hananel Hazan , Michael Levin