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A new Bayesian approach to linear system identification has been proposed in a series of recent papers. The main idea is to frame linear system identification as predictor estimation in an infinite dimensional space, with the aid of…

Machine Learning · Statistics 2015-07-03 Diego Romeres , Gianluigi Pillonetto , Alessandro Chiuso

Evolutionary systems must learn to generalize, often extrapolating from a limited set of selective conditions to anticipate future environmental changes. The mechanisms enabling such generalization remain poorly understood, despite their…

Populations and Evolution · Quantitative Biology 2025-10-29 Federica Ferretti , Mehran Kardar , Arvind Murugan

Many safety-critical scientific and engineering systems evolve according to differential-algebraic equations (DAEs), where dynamical behavior is constrained by physical laws and admissibility conditions. In practice, these systems operate…

Machine Learning · Computer Science 2026-04-14 Minxing Zheng , Zewei Deng , Liyan Xie , Shixiang Zhu

In environments that vary frequently and unpredictably, bet-hedgers can overtake the population. Diversifying bet-hedgers have a diverse set of offspring so that, no matter the conditions they find themselves in, at least some offspring…

Populations and Evolution · Quantitative Biology 2023-07-06 Csenge Petak , Lapo Frati , Melissa H. Pespeni , Nick Cheney

Cells can often choose among several stably heritable phenotypes. Examples are the expression of genes in eukaryotic cells where long chromosomal regions can adopt persistent and heritable silenced or active states, that may be associated…

Molecular Networks · Quantitative Biology 2015-05-18 Mille A. Micheelsen , Namiko Mitarai , Kim Sneppen , Ian. B. Dodd

Uncertainty, characterised by randomness and stochasticity, is ubiquitous in applications of evolutionary game theory across various fields, including biology, economics and social sciences. The uncertainty may arise from various sources…

Populations and Evolution · Quantitative Biology 2024-11-04 Manh Hong Duong , The Anh Han

The symbiotic relationship between the frameworks of classical game theory and evolutionary game theory is well-established. However, evolutionary game theorists have mostly tapped into the classical game of complete information where…

Populations and Evolution · Quantitative Biology 2025-04-04 Arunava Patra , Joy Das Bairagya , Sagar Chakraborty

In the realm of evolutionary game theory, standard frameworks typically presuppose that every player possesses comprehensive knowledge and unrestricted access to the entire strategy space. However, real-world human society inherently…

Computer Science and Game Theory · Computer Science 2025-09-30 Feipeng Zhang , Te Wu , Guofeng Zhang , Long Wang

Knowing the strategy of an opponent in a competitive environment conveys obvious evolutionary advantages. But this information is costly, and the benefit of being informed may not necessarily offset the additional cost. Here we introduce…

Physics and Society · Physics 2015-05-19 Attila Szolnoki , Matjaz Perc

We present a general framework for evolutionary learning to emergent unbiased state representation without any supervision. Evolutionary frameworks such as self-play converge to bad local optima in case of multi-agent reinforcement learning…

Machine Learning · Statistics 2023-02-03 Shohei Ohsawa

We study how to allocate resources to participants who can strategically misrepresent their deservingness at a cost. A principal assigns item(s) (or money) among multiple agents on the basis of their costly signals. Each agent's signal…

Theoretical Economics · Economics 2026-03-05 Yingkai Li , Xiaoyun Qiu

Biological synaptic transmission is unreliable, and this unreliability likely degrades neural circuit performance. While there are biophysical mechanisms that can increase reliability, for instance by increasing vesicle release probability,…

Neurons and Cognition · Quantitative Biology 2024-07-02 James Malkin , Cian O'Donnell , Conor Houghton , Laurence Aitchison

Bayesian inference has theoretical attractions as a principled framework for reasoning about beliefs. However, the motivations of Bayesian inference which claim it to be the only 'rational' kind of reasoning do not apply in practice. They…

Machine Learning · Statistics 2022-11-14 Sebastian Farquhar

We consider a model where an agent is must choose between alternatives that each provide only an imprecise description of the world (e.g. linguistic expressions). The set of alternatives is closed under logical conjunction and disjunction,…

Theoretical Economics · Economics 2024-09-11 Evan Piermont , Marcus Pivato

Collective phenomena in systems of interacting agents have helped us understand diverse social, ecological and biological observations. The corresponding explanations are challenged by incorrect information processing. In particular, the…

Physics and Society · Physics 2022-04-08 Johannes Falk , Edwin Eichler , Katja Windt , Marc-Thorsten Hütt

We develop an theoretical approach for predicting biodiversity in multi-dimensional niche spaces, arising due to ecological drivers such as competitive exclusion. The novelty of our approach relies on the fact that ecological niches are…

Populations and Evolution · Quantitative Biology 2015-06-11 Tommaso Biancalani , Lee DeVille , Nigel Goldenfeld

Any organism is embedded in an environment that changes over time. The timescale for and statistics of environmental change, the precision with which the organism can detect its environment, and the costs and benefits of particular protein…

Quantitative Methods · Quantitative Biology 2023-07-19 David A. Sivak , Matt Thomson

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

Statistics Theory · Mathematics 2019-09-04 Toby Kenney

Generative adversarial networks, or GANs, commonly display unstable behavior during training. In this work, we develop a principled theoretical framework for understanding the stability of various types of GANs. In particular, we derive…

Machine Learning · Computer Science 2020-02-12 Casey Chu , Kentaro Minami , Kenji Fukumizu

Realistically -- and equitably -- modeling the dynamics of group-level disparities in machine learning remains an open problem. In particular, we desire models that do not suppose inherent differences between artificial groups of people --…

Machine Learning · Computer Science 2022-01-03 Reilly Raab , Yang Liu