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In diffusion social learning over weakly-connected graphs, it has been shown recently that influential agents shape the beliefs of non-influential agents. This paper analyzes this mechanism more closely and addresses two main questions.…

Multiagent Systems · Computer Science 2018-11-07 Hawraa Salami , Bicheng Ying , Ali H. Sayed

We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

Machine Learning · Computer Science 2023-09-21 Song Mei , Yuchen Wu

We identify influential early adopters that achieve a target behavior distribution for a resource constrained social network with multiple costly behaviors. This problem is important for applications ranging from collective behavior change…

Social and Information Networks · Computer Science 2013-03-26 Kaushik Sarkar , Hari Sundaram

Given a network and a set of vertices called seeds to initially inject information, influence spread is the expected number of vertices that eventually receive the information under a certain stochastic model of information propagation.…

Data Structures and Algorithms · Computer Science 2026-04-16 Kengo Nakamura , Masaaki Nishino

In this study we present an extension of the replicator equation with diffusion to multiplex graphs. We derive an exact formula for the diffusion term, which shows that, while diffusion is linear for numbers of agents, it is necessary to…

Physics and Society · Physics 2016-08-10 Rubén J. Requejo , Albert Díaz Guilera

Network models are used to study interconnected systems across many physical, biological, and social disciplines. Such models often assume a particular network-generating mechanism, which when fit to data produces estimates of…

Social and Information Networks · Computer Science 2022-01-17 Ryan E. Langendorf , Matthew G. Burgess

Estimating influence on social media networks is an important practical and theoretical problem, especially because this new medium is widely exploited as a platform for disinformation and propaganda. This paper introduces a novel approach…

Social and Information Networks · Computer Science 2018-09-06 Steven T. Smith , Edward K. Kao , Danelle C. Shah , Olga Simek , Donald B. Rubin

The experiments at the Large Hadron Collider at CERN generate vast amounts of complex data from high-energy particle collisions. This data presents significant challenges due to its volume and complex reconstruction, necessitating the use…

Machine Learning · Computer Science 2024-07-23 A. Verdone , A. Devoto , C. Sebastiani , J. Carmignani , M. D'Onofrio , S. Giagu , S. Scardapane , M. Panella

Deep Neural Networks (DNNs) have performed admirably in classification tasks. However, the characterization of their classification uncertainties, required for certain applications, has been lacking. In this work, we investigate the issue…

Machine Learning · Computer Science 2023-11-28 Yu Pan , Kwo-Sen Kuo , Michael L. Rilee , Hongfeng Yu

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

Machine Learning · Computer Science 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

This paper demonstrates a method for using belief-network algorithms to solve influence diagram problems. In particular, both exact and approximation belief-network algorithms may be applied to solve influence-diagram problems. More…

Artificial Intelligence · Computer Science 2013-04-10 Gregory F. Cooper

Many real-world networks are so large that we must simplify their structure before we can extract useful information about the systems they represent. As the tools for doing these simplifications proliferate within the network literature,…

Physics and Society · Physics 2015-05-13 M. Rosvall , D. Axelsson , C. T. Bergstrom

We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

Social and Information Networks · Computer Science 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

A major task in particle physics is the measurement of rare signal processes. Even modest improvements in background rejection, at a fixed signal efficiency, can significantly enhance the measurement sensitivity. Building on prior research…

High Energy Physics - Phenomenology · Physics 2025-07-30 Luc Builtjes , Sascha Caron , Polina Moskvitina , Clara Nellist , Roberto Ruiz de Austri , Rob Verheyen , Zhongyi Zhang

Deep Learning using the eponymous deep neural networks (DNNs) has become an attractive approach towards various data-based problems of theoretical physics in the past decade. There has been a clear trend to deeper architectures containing…

Machine Learning · Computer Science 2021-06-30 Bastian Kaspschak , Ulf-G. Meißner

Images become an important and prevalent way to express users' activities, opinions and emotions. In a social network, individual emotions may be influenced by others, in particular by close friends. We focus on understanding how users…

Social and Information Networks · Computer Science 2014-01-20 Xiaohui Wang , Jia Jia , Lianhong Cai , Jie Tang

Information diffusion mechanisms based on social influence models are mainly studied using likelihood of adoption when active neighbors expose a user to a message. The problem arises primarily from the fact that for the most part, this…

Social and Information Networks · Computer Science 2020-03-24 Soumajyoti Sarkar , Hamidreza Alvari , Paulo Shakarian

We address some computational issues that may hinder the use of AMP chain graphs in practice. Specifically, we show how a discrete probability distribution that satisfies all the independencies represented by an AMP chain graph factorizes…

Machine Learning · Statistics 2015-11-19 Jose M. Peña

Daily internet communication relies heavily on tree-structured graphs, embodied by popular data formats such as XML and JSON. However, many recent generative (probabilistic) models utilize neural networks to learn a probability distribution…

Machine Learning · Computer Science 2024-08-20 Milan Papež , Martin Rektoris , Tomáš Pevný , Václav Šmídl

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…

Data Structures and Algorithms · Computer Science 2013-11-21 Luisa Gargano , Pavol Hell , Joseph G. Peters , Ugo Vaccaro
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