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We consider an evolving network of a fixed number of nodes. The allocation of edges is a dynamical stochastic process inspired by biological reproduction dynamics, namely by deleting and duplicating existing nodes and their edges. The…

统计力学 · 物理学 2007-09-14 Henrik Jeldtot Jensen

We consider the problem of predicting the time evolution of influence, the expected number of activated nodes, given a set of initially active nodes on a propagation network. To address the significant computational challenges of this…

社会与信息网络 · 计算机科学 2017-01-10 Shui-Nee Chow , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

Influence maximization in networks is a central problem in machine learning and causal inference, where an intervention on a subset of individuals triggers a diffusion process through the network. Existing approaches typically optimize…

统计方法学 · 统计学 2026-03-13 Renjie Cao , Zhuoxin Yan , Xinyan Su , Zhiheng Zhang

Most studies of disease spreading consider the underlying social network as obtained without the contagion, though epidemic influences people's willingness to contact others: A "friendly" contact may be turned to "unfriendly" to avoid…

物理与社会 · 物理学 2017-03-10 M. Saeedian , N. Azimi-Tafreshi , G. R. Jafari , J. Kertesz

A social choice procedure is modeled as a repeated Nash game between the social agents, who are communicating with each other through a social communication network modeled by an undirected graph. The agents' criteria for this game are…

系统与控制 · 计算机科学 2021-03-02 Athanasios-Rafail Lagos , George P. Papavassilopoulos

This paper proposes a discrimination technique for vertices in a weighted network. We assume that the edge weights and adjacencies in the network are conditionally independent and that both sources of information encode class membership…

机器学习 · 统计学 2019-06-10 Hayden Helm , Joshua Vogelstein , Carey Priebe

Neural networks have emerged as powerful tools across various applications, yet their decision-making process often remains opaque, leading to them being perceived as "black boxes." This opacity raises concerns about their interpretability…

机器学习 · 计算机科学 2024-11-28 Pirzada Suhail , Hao Tang , Amit Sethi

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

物理与社会 · 物理学 2009-07-31 Andrea Lancichinetti , Santo Fortunato

This work considers the robustness of uncertain consensus networks. The first set of results studies the stability properties of consensus networks with negative edge weights. We show that if either the negative weight edges form a cut in…

最优化与控制 · 数学 2015-03-03 Daniel Zelazo , Mathias Bürger

We introduce a new class of lower bounds on the log partition function of a Markov random field which makes use of a reversed Jensen's inequality. In particular, our method approximates the intractable distribution using a linear…

机器学习 · 计算机科学 2012-03-19 Qiang Liu , Alexander T. Ihler

Statistical properties of binary complex networks are well understood and recently many attempts have been made to extend this knowledge to weighted ones. There is, however, a subtle difference between networks where weights are continuos…

物理与社会 · 物理学 2013-12-06 Oleguer Sagarra , Conrad J. Pérez-Vicente , Albert Dïaz-Guilera

We introduce a new, efficient, principled and backpropagation-compatible algorithm for learning a probability distribution on the weights of a neural network, called Bayes by Backprop. It regularises the weights by minimising a compression…

机器学习 · 统计学 2015-05-22 Charles Blundell , Julien Cornebise , Koray Kavukcuoglu , Daan Wierstra

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

统计力学 · 物理学 2009-11-10 Shalev Itzkovitz , Uri Alon

Are biological networks different from other large complex networks? Both large biological and non-biological networks exhibit power-law graphs (number of nodes with degree k, N(k) ~ k-b) yet the exponents, b, fall into different ranges.…

凝聚态物理 · 物理学 2007-05-23 Fan Chung , Linyuan Lu , T. Gregory Dewey , David J. Galas

Modularity is a popular metric for quantifying the degree of community structure within a network. The distribution of the largest eigenvalue of a network's edge weight or adjacency matrix is well studied and is frequently used as a…

统计方法学 · 统计学 2020-07-15 Rong Ma , Ian Barnett

We investigate critical behaviors of a social contagion model on weighted networks. An edge-weight compartmental approach is applied to analyze the weighted social contagion on strongly heterogenous networks with skewed degree and weight…

物理与社会 · 物理学 2017-07-12 Yu-Xiao Zhu , Wei Wang , Ming Tang , Yong-Yeol Ahn

Network reliability is a well-studied problem that requires to measure the probability that a target node is reachable from a source node in a probabilistic (or uncertain) graph, i.e., a graph where every edge is assigned a probability of…

社会与信息网络 · 计算机科学 2018-05-01 Arijit Khan , Francesco Bonchi , Francesco Gullo , Andreas Nufer

Understanding how cooperation evolves in structured populations remains a fundamental question across diverse disciplines. The problem of cooperation typically involves pairwise or group interactions among individuals. While prior studies…

物理与社会 · 物理学 2025-06-26 Dini Wang , Peng Yi , Gang Yan , Feng Fu

When multitudes of features can plausibly be associated with a response, both privacy considerations and model parsimony suggest grouping them to increase the predictive power of a regression model. Specifically, the identification of…

统计方法学 · 统计学 2024-05-07 Brandon Woosuk Park , Anand N. Vidyashankar , Tucker S. McElroy

Real-world systems, ranging from social and biological to infrastructural, can be modeled by multilayer networks. Promoting spreading dynamics in multilayer networks may significantly facilitate electronic advertising and predicting popular…

物理与社会 · 物理学 2019-08-28 Liming Pan , Wei Wang , Shimin Cai , Tao Zhou