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We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Diversity measurement underpins the study of biological systems, but measures used vary across disciplines. Despite their common use and broad utility, no unified framework has emerged for measuring, comparing and partitioning diversity.…

Quantitative Methods · Quantitative Biology 2016-12-09 Richard Reeve , Tom Leinster , Christina A. Cobbold , Jill Thompson , Neil Brummitt , Sonia N. Mitchell , Louise Matthews

Explaining how competing species coexist remains a central question in ecology. The well-known competitive exclusion principle (CEP) states that two species competing for the same resource cannot stably coexist, and more generally, that the…

Biological Physics · Physics 2026-01-01 Wei Tao , Ju Kang , Wenxiu Yang , Yiyuan Niu , Xin Wang

This paper demonstrates the potential of statistical disclosure control for protecting the data used to train recommender systems. Specifically, we use a synthetic data generation approach to hide specific information in the user-item…

Information Retrieval · Computer Science 2020-08-11 Manel Slokom , Martha Larson , Alan Hanjalic

Insects play such a crucial role in ecosystems that a shift in demography of just a few species can have devastating consequences at environmental, social and economic levels. Despite this, evaluation of insect demography is strongly…

Computer Vision and Pattern Recognition · Computer Science 2022-11-04 Léonard Boussioux , Tomás Giro-Larraz , Charles Guille-Escuret , Mehdi Cherti , Balázs Kégl

Information theory is a powerful framework to capture aspects of dynamical systems with multiple degrees of freedom. Mathematically, the dynamics can be represented as a continuous curve $\mathcal{C}$ on a suitable hyperplane in flat space…

Information Theory · Computer Science 2026-04-28 Mattia Carrino , Stefan Hohenegger

Summarizing data samples by quantitative measures has a long history, with descriptive statistics being a case in point. However, as natural language processing methods flourish, there are still insufficient characteristic metrics to…

Computation and Language · Computer Science 2020-03-20 Yi-An Lai , Xuan Zhu , Yi Zhang , Mona Diab

When mutation rates are low, natural selection remains effective, and increasing the mutation rate can give rise to an increase in adaptation rate. When mutation rates are high to begin with, however, increasing the mutation rate may have a…

Populations and Evolution · Quantitative Biology 2012-11-06 Philip Gerrish , Alexandre Colato , Paul Sniegowski

The unprecedented size of the human population, along with its associated economic activities, have an ever increasing impact on global environments. Across the world, countries are concerned about the growing resource consumption and the…

We define a general class of models representing natural selection between two alleles. The population size and spatial structure are arbitrary, but fixed. Genetics can be haploid, diploid, or otherwise; reproduction can be asexual or…

Populations and Evolution · Quantitative Biology 2021-02-05 Benjamin Allen , Alex McAvoy

The work is devoted to study of the following problem: can we use any qualitative criteria for realization of such universal phenomenon as self-organization in open systems? We have defined values of information at fixed points of…

Adaptation and Self-Organizing Systems · Physics 2016-10-04 Zeinulla Zh. Zhanabaev , Yeldos T. Kozhagulov , Serik A. Khokhlov

Molecular traits, such as gene expression levels or protein binding affinities, are increasingly accessible to quantitative measurement by modern high-throughput techniques. Such traits measure molecular functions and, from an evolutionary…

Populations and Evolution · Quantitative Biology 2013-11-15 Armita Nourmohammad , Torsten Held , Michael Lässig

Prediction polling is an increasingly popular form of crowdsourcing in which multiple participants estimate the probability or magnitude of some future event. These estimates are then aggregated into a single forecast. Historically,…

Methodology · Statistics 2016-04-25 Ville A. Satopää , Shane T. Jensen , Robin Pemantle , Lyle H. Ungar

With improved measurement and modelling technology, variability has emerged as an essential feature in non-equilibrium processes. While traditionally, mean values and variance have been heavily used, they are not appropriate in describing…

Atmospheric and Oceanic Physics · Physics 2020-02-12 Eun-jin Kim , James Heseltine , Hanli Liu

We address the practical problems of estimating the information relations that characterize large networks. Building on methods developed for analysis of the neural code, we show that reliable estimates of mutual information can be obtained…

Information Theory · Computer Science 2007-07-13 Noam Slonim , Gurinder S. Atwal , Gasper Tkacik , William Bialek

We study the performance of different methods for processing information, incorporating narrative selection within an evolutionary model. All agents update their beliefs according to Bayes' Rule, but some strategically choose the narrative…

Theoretical Economics · Economics 2025-08-06 Federico Innocenti , Roberto Rozzi

Collective action and group formation are fundamental behaviors among both organisms cooperating to maximize their fitness, and people forming socioeconomic organizations. Researchers have extensively explored social interaction structures…

Physics and Society · Physics 2023-11-09 Jordan T Kemp , Adam G Kline , Luís MA Bettencourt

In computer science, we can theoretically neatly separate transmission and processing of information, hardware and software, and programs and their inputs. This is much more intricate in biology, Nevertheless, I argue that Shannon's concept…

Populations and Evolution · Quantitative Biology 2020-11-02 Jürgen Jost

Imitation is an important learning heuristic in animal and human societies. Previous explorations report that the fate of individuals with cooperative strategies is sensitive to the protocol of imitation, leading to a conundrum about how…

Physics and Society · Physics 2023-11-22 Xiaochen Wang , Lei Zhou , Alex McAvoy , Aming Li

This thesis investigates the quality of randomly collected data by employing a framework built on information-based complexity, a field related to the numerical analysis of abstract problems. The quality or power of gathered information is…

Numerical Analysis · Mathematics 2022-09-16 Mathias Sonnleitner