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We analyze the dynamics of random walks in which the jumping probabilities are periodic {\it time-dependent} functions. In particular, we determine the survival probability of biased walkers who are drifted towards an absorbing boundary.…

统计力学 · 物理学 2009-11-10 Ehud Nakar , Shahar Hod

In Bayesian classification, it is important to establish a probabilistic model for each class for likelihood estimation. Most of the previous methods modeled the probability distribution in the whole sample space. However, real-world…

机器学习 · 计算机科学 2018-12-14 Chengsheng Mao , Lijuan Lu , Bin Hu

Every interaction of a living organism with its environment involves the placement of a bet. Armed with partial knowledge about a stochastic world, the organism must decide its next step or near-term strategy, an act that implicitly or…

种群与进化 · 定量生物学 2023-05-30 Philipp Fleig , Vijay Balasubramanian

Niching enables a genetic algorithm (GA) to maintain diversity in a population. It is particularly useful when the problem has multiple optima where the aim is to find all or as many as possible of these optima. When the fitness landscape…

神经与进化计算 · 计算机科学 2007-05-23 K. Sastry , H. A. Abbass , D. E. Goldberg

Two density-dependent branching processes are considered to model predator-prey populations. For both models, preys are considered to be the main food supply of predators. Moreover, in each generation the number of individuals of each…

概率论 · 数学 2024-07-01 Cristina Gutiérrez , Carmen Minuesa

The theory of learning in games has extensively studied situations where agents respond dynamically to each other by optimizing a fixed utility function. However, in many settings of interest, agent utility functions themselves vary as a…

多智能体系统 · 计算机科学 2021-10-01 Brandon C. Collins , Lisa Hines , Gia Barboza , Philip N. Brown

We consider a stochastic game-theoretic model of an investment market in continuous time with short-lived assets and study strategies, called survival, which guarantee that the relative wealth of an investor who uses such a strategy remains…

数理金融 · 定量金融 2019-09-06 Mikhail Zhitlukhin

Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a…

种群与进化 · 定量生物学 2025-07-02 Alexander P Browning , Sara Hamis

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

物理与社会 · 物理学 2018-02-23 Attila Szolnoki , Xiaojie Chen

This paper deals with branching processes in varying environment, namely, whose offspring distributions depend on the generations. We provide sufficient conditions for survival or extinction which rely only on the first and second moments…

概率论 · 数学 2017-09-29 Daniela Bertacchi , Pablo M. Rodriguez , Fabio Zucca

Predicting species persistence within ecological communities is a fundamental challenge for both empirical and theoretical ecology. Existing methods span from mechanistic models, whose parameters are difficult to estimate from data, to…

We describe a unified framework within which we can build survival models. The motivation for this work comes from a study on the prediction of relapse among breast cancer patients treated at the Curie Institute in Paris, France. Our focus…

统计方法学 · 统计学 2014-05-28 Cécile Chauvel , John O'Quigley

We show that there may exist an inherent tension between the goal of adversarial robustness and that of standard generalization. Specifically, training robust models may not only be more resource-consuming, but also lead to a reduction of…

Conservation science depends on an accurate understanding of what's happening in a given ecosystem. How many species live there? What is the makeup of the population? How is that changing over time? Species Distribution Modeling (SDM) seeks…

机器学习 · 计算机科学 2021-07-23 Sara Beery , Elijah Cole , Joseph Parker , Pietro Perona , Kevin Winner

In principle, all the natural systems such as biological, ecological and economical systems are structure-variable systems (in which some environment parameters are not fixed). In this Letter we show that data sequences from many…

comp-gas · 物理学 2008-02-03 H. P. Fangi , L. Y. Cao

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…

种群与进化 · 定量生物学 2023-07-06 Csenge Petak , Lapo Frati , Melissa H. Pespeni , Nick Cheney

We investigate a cyclic game system where organisms face an epidemic beyond being threatened by natural enemies. As a survival strategy, individuals of one out of the species usually safeguard themselves by approaching the enemies of their…

种群与进化 · 定量生物学 2023-01-09 J. Menezes , B. Ferreira , E. Rangel , B. Moura

We consider branching process evolving in i.i.d. random environment. It is assumed that the process is intermediately subcritical. We investigate the initial stage of the evolution of the process given its survival for a long time.

概率论 · 数学 2022-08-08 E. E. Dyakonova

Conventional machine learning studies generally assume close-environment scenarios where important factors of the learning process hold invariant. With the great success of machine learning, nowadays, more and more practical tasks,…

机器学习 · 计算机科学 2022-08-10 Zhi-Hua Zhou

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

概率论 · 数学 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi
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