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We study a combinatorial model of the spread of influence in networks that generalizes existing schemata recently proposed in the literature. In our model, agents change behaviors/opinions on the basis of information collected from their…

数据结构与算法 · 计算机科学 2013-11-21 Luisa Gargano , Pavol Hell , Joseph G. Peters , Ugo Vaccaro

Scale-free networks constitute a fast-developing field that has already provided us with important tools to understand natural and social phenomena. From biological systems to environmental modifications, from quantum fields to high energy…

综合物理 · 物理学 2021-06-17 Airton Deppman , Evandro Oliveira Andrade Segundo

We investigate how very large populations are able to reach a global consensus, out of local "microscopic" interaction rules, in the framework of a recently introduced class of models of semiotic dynamics, the so-called Naming Game. We…

物理与社会 · 物理学 2007-05-23 A. Baronchelli , L. Dall'Asta , A. Barrat , V. Loreto

Epidemic modeling has been extensively used in the last years in the field of telecommunications and computer networks. We consider the popular Susceptible-Infected-Susceptible spreading model as the metric for information spreading. In…

社会与信息网络 · 计算机科学 2013-12-31 Antonia Maria Masucci , Alonso Silva

Axelrod's model of cultural dissemination, despite its apparent simplicity, demonstrates complex behavior that has been of much interest in statistical physics. Despite the many variations and extensions of the model that have been…

物理与社会 · 物理学 2016-12-09 Alex Stivala , Paul Keeler

Information propagation characterizes how input correlations evolve across layers in deep neural networks. This framework has been well studied using mean-field theory, which assumes infinitely wide networks. However, these assumptions…

机器学习 · 计算机科学 2026-01-21 Giuseppe Alessio D'Inverno , Zhiyuan Hu , Leo Davy , Michael Unser , Gianluigi Rozza , Jonathan Dong

We propose communication-efficient distributed estimation and inference methods for the transelliptical graphical model, a semiparametric extension of the elliptical distribution in the high dimensional regime. In detail, the proposed…

机器学习 · 统计学 2016-12-30 Pan Xu , Lu Tian , Quanquan Gu

We present an extensive, systematic study of the Prisoner's Dilemma and Snowdrift games on a square lattice under a synchronous, noiseless imitation dynamics. We show that for both the occupancy of the network and the (random) mobility of…

种群与进化 · 定量生物学 2015-11-25 Mendeli H. Vainstein , Jeferson J. Arenzon

Understanding geometric properties of natural language processing models' latent spaces allows the manipulation of these properties for improved performance on downstream tasks. One such property is the amount of data spread in a model's…

机器学习 · 计算机科学 2023-08-02 Anna C. Marbut , Katy McKinney-Bock , Travis J. Wheeler

This paper is concerned with a natural variant of the contact process modeling the spread of knowledge on the integer lattice. Each site is characterized by its knowledge, measured by a real number ranging from 0 = ignorant to 1 =…

概率论 · 数学 2025-03-24 Nicolas Lanchier , Max Mercer , Hyunsik Yun

We consider a population of $n$ agents which communicate with each other in a decentralized manner, through random pairwise interactions. One or more agents in the population may act as authoritative sources of information, and the…

数据结构与算法 · 计算机科学 2017-11-30 Bartlomiej Dudek , Adrian Kosowski

We investigate the temporal patterns of human communication and its influence on the spreading of information in social networks. The analysis of mobile phone calls of 20 million people in one country shows that human communication is…

物理与社会 · 物理学 2015-05-20 Giovanna Miritello , Esteban Moro , Rubén Lara

We study the problem of distributed coverage control in a network of mobile agents arranged on a line. The goal is to design distributed dynamics for the agents to achieve optimal coverage positions with respect to a scalar density field…

最优化与控制 · 数学 2014-11-25 P. Davison , N. E. Leonard , A. Olshevsky , M. Schwemmer

We consider the propagation of acoustic time-harmonic waves in a homogeneous media containing periodic lattices of spherical or cylindrical inclusions. It is assumed that the wavelength has the order of the periods of the lattice while the…

偏微分方程分析 · 数学 2019-07-04 Yuri A. Godin , Boris Vainberg

We study the asymptotic behavior of the simple random walk on oriented versions of $\mathbb{Z}^2$. The considered lattices are not directed on the vertical axis but unidirectional on the horizontal one, with random orientations whose…

概率论 · 数学 2007-05-23 Nadine Guillotin-Plantard , Arnaud Le Ny

This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here the initial data stand for the spatial concentrations of infectious agent and…

偏微分方程分析 · 数学 2020-07-31 Wen-Bing Xu , Wan-Tong Li , Shigui Ruan

We consider a nonlocal Fisher-KPP equation that models a population structured in space and in phenotype. The population lives in a heterogeneous periodic environment: the diffusion coefficient, the mutation coefficient and the fitness of…

偏微分方程分析 · 数学 2024-10-28 Nathanaël Boutillon

The network-based model of social contagion has revolved around information on local interactions; its central focus has been on network topological properties shaping the local interactions and, ultimately, social contagion outcomes. We…

物理与社会 · 物理学 2021-05-20 Kyuho Jin , Unjong Yu

Face-to-face interaction networks describe social interactions in human gatherings, and are the substrate for processes such as epidemic spreading and gossip propagation. The bursty nature of human behavior characterizes many aspects of…

物理与社会 · 物理学 2013-04-24 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

We observe the propagation of information in a system of self-replicating strings of code (``Artificial Life'') as a function of fitness and mutation rate. Comparison with theoretical predictions based on the reaction-diffusion equation…

adap-org · 物理学 2008-02-03 Johan Chu , Chris Adami