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In evolutionary algorithms, the fitness of a population increases with time by mutating and recombining individuals and by a biased selection of more fit individuals. The right selection pressure is critical in ensuring sufficient…

Artificial Intelligence · Computer Science 2007-05-23 Marcus Hutter

In recent years, there have been intense research efforts to develop efficient methods for probabilistic inference in probabilistic influence diagrams or belief networks. Many people have concluded that the best methods are those based on…

Artificial Intelligence · Computer Science 2013-04-05 Ross D. Shachter , Stig K. Andersen , Kim-Leng Poh

Computing over compressed data combines the space saving of data compression with efficient support for queries directly on the compressed representation. Such data structures are widely applied in text indexing and have been successfully…

Data Structures and Algorithms · Computer Science 2025-06-27 Ziad Ismaili Alaoui , Namrata , Sebastian Wild

The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the…

Data Structures and Algorithms · Computer Science 2020-01-01 Takuro Fukunaga

Graph-based classification methods are widely used for security and privacy analytics. Roughly speaking, graph-based classification methods include collective classification and graph neural network. Evading a graph-based classification…

Cryptography and Security · Computer Science 2019-08-14 Binghui Wang , Neil Zhenqiang Gong

Modern developments in population dynamics emphasize the role of the turnover of individuals. In the new approaches stable population size is a dynamic equilibrium between different mortality and fecundity factors instead of an arbitrary…

Populations and Evolution · Quantitative Biology 2014-03-05 Krzysztof Argasinski , Mark Broom

Graphs and networks are common ways of depicting biological information. In biology, many different biological processes are represented by graphs, such as regulatory networks, metabolic pathways and protein--protein interaction networks.…

Applications · Statistics 2010-11-16 Caiyan Li , Hongzhe Li

When beneficial mutations are relatively common, competition between multiple unfixed mutations can reduce the rate of fixation in well-mixed asexual populations. We introduce a one dimensional model with a steady accumulation of beneficial…

Populations and Evolution · Quantitative Biology 2013-02-19 Jakub Otwinowski , Stefan Boettcher

Evolutionary graph theory (EGT) studies the effect of population structure on evolutionary dynamics. The vertices of the graph represent the $N$ individuals. The edges denote interactions for competitive replacement. Two standard update…

Populations and Evolution · Quantitative Biology 2026-04-01 David A. Brewster , Yichen Huang , Michael Mitzenmacher , Martin A. Nowak

It is often observed that agents tend to imitate the behavior of their neighbors in a social network. This imitating behavior might lead to the strategic decision of adopting a public behavior that differs from what the agent believes is…

Computer Science and Game Theory · Computer Science 2015-10-02 Vincenzo Auletta , Ioannis Caragiannis , Diodato Ferraioli , Clemente Galdi , Giuseppe Persiano

Social choice becomes easier on restricted preference domains such as single-peaked, single-crossing, and Euclidean preferences. Many impossibility theorems disappear, the structure makes it easier to reason about preferences, and…

Computer Science and Game Theory · Computer Science 2025-03-25 Edith Elkind , Martin Lackner , Dominik Peters

The Moran process, as studied by [Lieberman, E., Hauert, C. and Nowak, M. Evolutionary dynamics on graphs. Nature 433, pp. 312-316 (2005)], is a stochastic process modeling the spread of genetic mutations in populations. In this process,…

Populations and Evolution · Quantitative Biology 2021-07-27 Themistoklis Melissourgos , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul Spirakis

In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is…

Optimization and Control · Mathematics 2020-11-18 Wouter Baar , Dario Bauso

Fix a graph $H$ and some $p\in (0,1)$, and let $X_H$ be the number of copies of $H$ in a random graph $G(n,p)$. Random variables of this form have been intensively studied since the foundational work of Erd\H{o}s and R\'{e}nyi. There has…

Combinatorics · Mathematics 2020-11-19 Jacob Fox , Matthew Kwan , Lisa Sauermann

Most papers about the evolutionary game on graph assume the statistic network structure. However, social interaction could change the relationship of people. And the changing social structure will affect the people's strategy too. We build…

Physics and Society · Physics 2009-09-30 Shao-Meng Qin , Guo-Yong Zhang , Yong Chen

Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

Optimization and Control · Mathematics 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený

We consider the edge-reinforced random walk with multiple (but finitely many) walkers which influence the edge weights together. The walker which moves at a given time step is chosen uniformly at random, or according to a fixed order.…

Probability · Mathematics 2023-11-16 Nina Gantert , Fabian Michel , Guilherme Reis

We consider a biological population in which a beneficial mutation is undergoing a selective sweep when a second beneficial mutation arises at a linked locus and we investigate the probability that both mutations will eventually fix in the…

Probability · Mathematics 2008-12-02 Feng Yu , Alison Etheridge , Charles Cuthbertson

We discuss a model for evolutionary game dynamics in a growing, network-structured population. In our model, new players can either make connections to random preexisting players or preferentially attach to those that have been successful…

Physics and Society · Physics 2015-05-13 J. Poncela , J. Gomez-Gardenes , A. Traulsen , Y. Moreno

Confounder selection, namely choosing a set of covariates to control for confounding between a treatment and an outcome, is arguably the most important step in the design of an observational study. Previous methods, such as Pearl's…

Methodology · Statistics 2026-03-24 F. Richard Guo , Qingyuan Zhao