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In many real-world scenarios, it is nearly impossible to collect explicit social network data. In such cases, whole networks must be inferred from underlying observations. Here, we formulate the problem of inferring latent social networks…

Social and Information Networks · Computer Science 2010-10-28 Seth A. Myers , Jure Leskovec

Motivated by the problem of inferring the graph structure of functional connectivity networks from multi-level functional magnetic resonance imaging data, we develop a valid inference framework for high-dimensional graphical models that…

Methodology · Statistics 2024-03-18 Kun Yue , Eardi Lila , Ali Shojaie

Not all nodes in a network are created equal. Differences and similarities exist at both individual node and group levels. Disentangling single node from group properties is crucial for network modeling and structural inference. Based on…

Statistical Mechanics · Physics 2015-05-20 Joerg Reichardt , Roberto Alamino , David Saad

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

Methodology · Statistics 2019-02-06 Eli Sherman , Ilya Shpitser

Understanding how emotions diffuse through social networks is central to computational social science. Recently, large language models (LLMs) have been increasingly used to simulate social media interactions, raising the question of whether…

Social and Information Networks · Computer Science 2025-12-25 Qiqi Qiang

The focus of this paper is modeling what we call a Social Radar, i.e. a method to estimate the relative influence between social agents, by sampling their opinions and as they evolve, after injecting in the network stubborn agents. The…

Social and Information Networks · Computer Science 2016-11-17 Hoi-To Wai , Anna Scaglione , Amir Leshem

An edge-colored directed graph is \emph{observable} if an agent that moves along its edges is able to determine his position in the graph after a sufficiently long observation of the edge colors. When the agent is able to determine his…

Multiagent Systems · Computer Science 2007-05-23 Raphael M. Jungers , Vincent D. Blondel

Much work in Social Network Analysis has focused on the identification of the most important actors in a social network. This has resulted in several measures of influence and authority. While most of such sociometrics (e.g., PageRank) are…

Social and Information Networks · Computer Science 2011-08-25 Karthik Subbian , Prem Melville

In recent years networks have gained unprecedented attention in studying a broad range of topics, among them in complex systems research. In particular, multi-agent systems have seen an increased recognition of the importance of the…

Physics and Society · Physics 2007-05-23 László Gulyás , Elenna R. Dugundji

Social networks have become ubiquitous in our daily life, as such it has attracted great research interests recently. A key challenge is that it is of extremely large-scale with tremendous information flow, creating the phenomenon of "Big…

Computer Science and Game Theory · Computer Science 2015-06-17 Chunxiao Jiang , Yan Chen , K. J. Ray Liu

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

Machine Learning · Statistics 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

Various kinds of spread of influence occur in real world social and virtual networks. These phenomena are formulated by activation processes and irreversible dynamic monopolies in combinatorial graphs representing the topology of the…

Discrete Mathematics · Computer Science 2024-03-05 Manouchehr Zaker

This work considers the distributed computation of the one-to-one vertex correspondences between two undirected and connected graphs, which is called \textit{graph matching}, over multi-agent networks. Given two \textit{isomorphic} and…

Optimization and Control · Mathematics 2020-02-21 Quoc Van Tran , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

A time-invariant, linear, distributed observer is described for estimating the state of an $m>0$ channel, $n$-dimensional continuous-time linear system of the form $ \dot{x} = Ax,\ y_i = C_i x,\ i \in \{1,2,\cdots, m\}$. The state $x$ is…

Systems and Control · Computer Science 2020-03-16 L. Wang , A. S. Morse

The proliferation of social media such as real time microblogging and online reputation systems facilitate real time sensing of social patterns and behavior. In the last decade, sensing and decision making in social networks have witnessed…

Social and Information Networks · Computer Science 2014-05-07 Vikram Krishnamurthy , Omid Namvar Gharehshiran , Maziyar Hamdi

Dynamical systems in which local interactions among agents give rise to complex emerging phenomena are ubiquitous in nature and society. This work explores the problem of inferring the unknown interaction structure (represented as a graph)…

Machine Learning · Computer Science 2021-06-01 Gerrit Großmann , Julian Zimmerlin , Michael Backenköhler , Verena Wolf

Network cascade refers to diffusion processes in which outcome changes within part of an interconnected population trigger a sequence of changes across the entire network. These cascades are governed by underlying diffusion networks, which…

Social and Information Networks · Computer Science 2025-06-25 Yubai Yuan , Siyu Huang , Abdul Basit Adeel

Basic principles of statistical inference are commonly violated in network data analysis. Under the current approach, it is often impossible to identify a model that accommodates known empirical behaviors, possesses crucial inferential…

Statistics Theory · Mathematics 2017-01-02 Harry Crane , Walter Dempsey

A protocol for distributed estimation of discrete distributions is proposed. Each agent begins with a single sample from the distribution, and the goal is to learn the empirical distribution of the samples. The protocol is based on a simple…

Optimization and Control · Mathematics 2014-06-06 Anand D. Sarwate , Tara Javidi

The behaviour of many real-world phenomena can be modelled by nonlinear dynamical systems whereby a latent system state is observed through a filter. We are interested in interacting subsystems of this form, which we model by a set of…

Machine Learning · Computer Science 2017-02-20 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch