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This work initiates a general study of learning and generalization without the i.i.d. assumption, starting from first principles. While the traditional approach to statistical learning theory typically relies on standard assumptions from…

Machine Learning · Statistics 2020-10-21 Steve Hanneke

We consider a population structured by a space variable and a phenotypical trait, submitted to dispersion, mutations, growth and nonlocal competition. This population is facing an environmental gradient: the optimal trait for survival…

Analysis of PDEs · Mathematics 2019-10-14 Gwenaël Peltier

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

This paper focuses on managing the cost of deliberation before action. In many problems, the overall quality of the solution reflects costs incurred and resources consumed in deliberation as well as the cost and benefit of execution, when…

Artificial Intelligence · Computer Science 2013-04-05 David Einav , Michael R. Fehling

The Drake equation has been used many times to estimate the number of observable civilizations in the Galaxy. However, the uncertainty of the outcome is so great that any individual result is of limited use, as predictions can range from a…

Popular Physics · Physics 2023-07-19 Alex De Visscher

A new method called SurvLIME for explaining machine learning survival models is proposed. It can be viewed as an extension or modification of the well-known method LIME. The main idea behind the proposed method is to apply the Cox…

Machine Learning · Computer Science 2020-03-19 Maxim S. Kovalev , Lev V. Utkin , Ernest M. Kasimov

Continual learning is an emerging paradigm in machine learning, wherein a model is exposed in an online fashion to data from multiple different distributions (i.e. environments), and is expected to adapt to the distribution change.…

Machine Learning · Computer Science 2022-03-29 Binghui Peng , Andrej Risteski

This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

Computer Science and Game Theory · Computer Science 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

SETI is not a usual point of departure for environmental humanities. However, this paper argues that theories originating in this field have direct implications for how we think about viable inhabitation of the Earth. To demonstrate SETI's…

Physics and Society · Physics 2025-01-14 Lukáš Likavčan

Darwin's theory of evolution is considered to be one of the greatest scientific gems in modern science. It not only gives us a description of how living things evolve, but also shows how a population evolves through time and also, why only…

Machine Learning · Computer Science 2013-12-18 Arka Bhattacharya

We consider a population of identical individuals preying on an exhaustible resource. The individuals in the population choose a strategy that defines how they use their available time over the course of their life for feeding, for…

Optimization and Control · Mathematics 2010-06-21 Pierre Bernhard , Frederic Grognard , Ludovic Mailleret , Andrei Akhmetzhanov

Selection shapes all kinds of behaviors, including how we make decisions under uncertainty. The risk attitude reflected from it should be simple, flexible, yet consistent. In this paper we engaged evolutionary dynamics to find the decision…

Theoretical Economics · Economics 2022-06-22 Songjia Fan , Yi Tao , Cong Li

Random walks are powerful tools to analyze spatial-temporal patterns produced by living organisms ranging from cells to humans. At the same time, it is evident that these patterns are not completely random but are results of a convolution…

Statistical Mechanics · Physics 2021-12-08 M. I. Krivonosov , S. N. Tikhomirov , S. Denisov

The literature on evolutionary game theory suggests that pure strategies that are strictly dominated by other pure strategies always become extinct under imitative game dynamics, but they can survive under innovative dynamics. As we…

Computer Science and Game Theory · Computer Science 2022-09-20 Panayotis Mertikopoulos , Yannick Viossat

Decision theories offer principled methods for making choices under various types of uncertainty. Algorithms that implement these theories have been successfully applied to a wide range of real-world problems, including materials and drug…

Machine Learning · Computer Science 2026-05-26 Agustinus Kristiadi

In this letter we study the full semi-conservative treatment of a model for the co-evolution of a virus and an adaptive immune system. Regions of viability are calculated for both conservatively and semi-conservatively replicating viruses…

Populations and Evolution · Quantitative Biology 2009-11-10 Yisroel Brumer , Eugene I. Shakhnovich

Consider concurrent, infinite duration, two-player win/lose games played on graphs. If the winning condition satisfies some simple requirement, the existence of Player 1 winning (finite-memory) strategies is equivalent to the existence of…

Logic in Computer Science · Computer Science 2018-05-01 Stephane Le Roux

Evolution by natural selection can be seen an algorithm for generating creative solutions to difficult problems. More precisely, evolution by natural selection is a class of algorithms that share a set of properties. The question we address…

Neural and Evolutionary Computing · Computer Science 2018-06-22 Peter D. Turney

A hallmark of human intelligence is the ability to construct self-contained chunks of knowledge and adequately reuse them in novel combinations for solving different yet structurally related problems. Learning such compositional structures…

Machine Learning · Computer Science 2021-03-18 Jorge A. Mendez , Eric Eaton

Capability planning problems are pervasive throughout many areas of human interest with prominent examples found in defense and security. Planning provides a unique context for optimization that has not been explored in great detail and…

Neural and Evolutionary Computing · Computer Science 2009-07-03 James M. Whitacre , Hussein A. Abbass , Ruhul Sarker , Axel Bender , Stephen Baker
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