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Federated Learning (FL) is a distributed machine learning protocol that allows a set of agents to collaboratively train a model without sharing their datasets. This makes FL particularly suitable for settings where data privacy is desired.…

机器学习 · 计算机科学 2021-12-03 Mustafa Safa Ozdayi , Murat Kantarcioglu

Dispersal is an important strategy that allows organisms to locate and exploit favorable habitats. The question arises: given competition in a spatially heterogeneous landscape, what is the optimal rate of dispersal? Continuous population…

种群与进化 · 定量生物学 2010-02-05 Jack N. Waddell , Leonard M. Sander , Charles R. Doering

The problem of analyzing the performance of networked agents exchanging evidence in a dynamic network has recently grown in importance. This problem has relevance in signal and data fusion network applications and in studying opinion and…

社会与信息网络 · 计算机科学 2016-05-26 Ranga Dabarera , Kamal Premaratne , Manohar N. Murthi , Dilip Sarkar

Federated Learning (FL) is a collaborative method for training models while preserving data privacy in decentralized settings. However, FL encounters challenges related to data heterogeneity, which can result in performance degradation. In…

机器学习 · 计算机科学 2023-11-23 Seongyoon Kim , Gihun Lee , Jaehoon Oh , Se-Young Yun

This paper investigates a reaction-advection-diffusion system modeling interspecific competition between two species over bounded domains. The kinetic terms are assumed to satisfy the Beddington-DeAngelis functional responses. We consider…

偏微分方程分析 · 数学 2016-03-29 Ling Jin , Qi Wang , Zengyan Zhang

Two long-lived senders play a dynamic game of competitive persuasion. Each period, each provides information to a single short-lived receiver. When the senders also set prices, we unearth a folk theorem: if they are sufficiently patient,…

概率论 · 数学 2023-12-27 Mark Whitmeyer

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

最优化与控制 · 数学 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

This is part two of our study on the spreading properties of the Lotka-Volterra competition-diffusion systems with a stable coexistence state. We focus on the case when the initial data are exponential decaying. By establishing a comparison…

偏微分方程分析 · 数学 2020-05-05 Qian Liu , Shuang Liu , King-Yeung Lam

A basic assumption of traditional reinforcement learning is that the value of a reward does not change once it is received by an agent. The present work forgoes this assumption and considers the situation where the value of a reward decays…

人工智能 · 计算机科学 2023-03-01 Taylor Dohmen , Ashutosh Trivedi

This paper proposes a theoretical framework to evaluate and compare the performance of stochastic gradient algorithms for distributed learning in relation to their behavior around local minima in nonconvex environments. Previous works have…

机器学习 · 计算机科学 2025-07-03 Ying Cao , Zhaoxian Wu , Kun Yuan , Ali H. Sayed

The dynamic behavior of a multiagent system in which the agent size $s_{i}$ is variable it is studied along a Lotka-Volterra approach. The agent size has hereby for meaning the fraction of a given market that an agent is able to capture…

混沌动力学 · 物理学 2012-09-04 L. F. Caram , C. F. Caiafa , A. N. Proto , M. Ausloos

Competition between times series often arises in sales prediction, when similar products are on sale on a marketplace. This article provides a model of the presence of cannibalization between times series. This model creates a…

机器学习 · 统计学 2021-06-21 Rémy Garnier

This work considers the problem of resilient consensus where stochastic values of trust between agents are available. Specifically, we derive a unified mathematical framework to characterize convergence, deviation of the consensus from the…

最优化与控制 · 数学 2025-05-07 Michal Yemini , Angelia Nedić , Andrea Goldsmith , Stephanie Gil

This paper examines resilient dynamic leader-follower consensus within multi-agent systems, where agents share first-order or second-order dynamics. The aim is to develop distributed protocols enabling nonfaulty/normal followers to…

多智能体系统 · 计算机科学 2025-11-25 Liwei Yuan , Hideaki Ishii

With the ever increasing data deluge and the success of deep neural networks, the research of distributed deep learning has become pronounced. Two common approaches to achieve this distributed learning is synchronous and asynchronous weight…

机器学习 · 计算机科学 2022-04-29 Debasrita Chakraborty , Ashish Ghosh

In this paper, we study an ordinary differential equation with a degenerate global attractor at the origin, to which we add a white noise with a small parameter that regulates its intensity. Under general conditions, for any fixed…

概率论 · 数学 2025-05-27 Gerardo Barrera , Conrado da Costa , Milton Jara

The vulnerability of machine learning models to adversarial attacks has been attracting considerable attention in recent years. Most existing studies focus on the behavior of stand-alone single-agent learners. In comparison, this work…

机器学习 · 计算机科学 2025-05-13 Ying Cao , Elsa Rizk , Stefan Vlaski , Ali H. Sayed

We investigate the super-linear spreading in a reaction-diffusion model analogous to the Fisher-KPP equation, but in which the population is heterogeneous with respect to the dispersal ability of individuals, and the saturation factor is…

偏微分方程分析 · 数学 2019-10-15 Vincent Calvez , Christopher Henderson , Sepideh Mirrahimi , Olga Turanova , Thierry Dumont

As an important factor governing opinion dynamics, stubbornness strongly affects various aspects of opinion formation. However, a systematically theoretical study about the influences of heterogeneous stubbornness on opinion dynamics is…

社会与信息网络 · 计算机科学 2022-08-09 Wanyue Xu , Liwang Zhu , Jiale Guan , Zuobai Zhang , Zhongzhi Zhang

Finding conditions ensuring consensus, i.e. convergence to a common value, for a networked system is of crucial interest, both for theoretical reasons and applications. This goal is harder to achieve when connections between agents are…

最优化与控制 · 数学 2025-10-14 Fabio Ancona , Mohamed Bentaibi , Francesco Rossi