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This paper introduces a Bayesian framework designed to measure the degree of association between categorical random variables. The method is grounded in the formal definition of variable independence and is implemented using Markov Chain…

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…

Social and Information Networks · Computer Science 2018-05-01 Arijit Khan , Francesco Bonchi , Francesco Gullo , Andreas Nufer

We study nonparametric methods for the setting where multiple distinct networks are observed on the same set of nodes. Such samples may arise in the form of replicated networks drawn from a common distribution, or in the form of…

Methodology · Statistics 2020-01-15 Swati Chandna , Pierre-Andre Maugis

Network data, characterized by interconnected nodes and edges, is pervasive in various domains and has gained significant popularity in recent years. In network data analysis, testing the presence of community structure in a network is one…

Methodology · Statistics 2023-07-27 Mingao Yuan , Sharmin Hossain , Zuofeng Shang

This paper addresses the problem of detecting anomalous activity in traffic networks where the network is not directly observed. Given knowledge of what the node-to-node traffic in a network should be, any activity that differs…

Methodology · Statistics 2019-02-20 Elizabeth Hou , Yasin Yilmaz , Alfred Hero

Heterogeneous network data with rich nodal information become increasingly prevalent across multidisciplinary research, yet accurately modeling complex nodal heterogeneity and simultaneously selecting influential nodal attributes remains an…

Methodology · Statistics 2026-04-14 Zhaoyu Xing , Xiufan Yu

To enjoy more social network services, users nowadays are usually involved in multiple online sites at the same time. Aligned social networks provide more information to alleviate the problem of data insufficiency. In this paper, we target…

Social and Information Networks · Computer Science 2019-10-15 Yizhu Jiao , Yun Xiong , Jiawei Zhang , Yangyong Zhu

We consider the problem of decentralized hypothesis testing under communication constraints in a topology where several peripheral nodes are arranged in tandem. Each node receives an observation and transmits a message to its successor, and…

Information Theory · Computer Science 2015-06-19 Alla Tarighati , Joakim Jalden

Genetic association studies for brain connectivity phenotypes have gained prominence due to advances in non-invasive imaging techniques and quantitative genetics. Brain connectivity traits, characterized by network configurations and unique…

Methodology · Statistics 2023-05-17 Xinyuan Tian , Yiting Wang , Selena Wang , Yi Zhao , Yize Zhao

Functional brain networks exhibit topological structures that reflect neural organization; however, statistical comparison of these networks is challenging for several reasons. This paper introduces a topologically invariant permutation…

Neurons and Cognition · Quantitative Biology 2025-12-30 Sixtus Dakurah

We study a social network consisting of agents organized as a hierarchical M-ary rooted tree, common in enterprise and military organizational structures. The goal is to aggregate information to solve a binary hypothesis testing problem.…

Social and Information Networks · Computer Science 2015-06-05 Zhenliang Zhang , Edwin K. P. Chong , Ali Pezeshki , William Moran , Stephen D. Howard

This paper proposes a multilayer graph model for the community detection from multiple observations. This is a very frequent situation, when different estimators are applied to infer graph edges from signals at its nodes, or when different…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Gaetano Scarano , Marie-Constance Corsi , Fabrizio De Vico Fallani , Stefania Colonnese

This work explores hypernetworks: an approach of using a one network, also known as a hypernetwork, to generate the weights for another network. Hypernetworks provide an abstraction that is similar to what is found in nature: the…

Machine Learning · Computer Science 2016-12-02 David Ha , Andrew Dai , Quoc V. Le

How can researchers test for heterogeneity in the local structure of a network? In this paper, we present a framework that utilizes random sampling to give subgraphs which are then used in a goodness of fit test to test for heterogeneity.…

Methodology · Statistics 2015-12-04 Jonathan Tuke , Matthew Roughan

We study the effects of animal social networks with a weighted pattern of interactions on the flocking transition exhibited by models of self-organized collective motion. Considering a model representing dynamics on a one-dimensional…

Physics and Society · Physics 2022-10-19 Jaume Ojer , Romualdo Pastor-Satorras

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

Community detection in networks refers to the process of seeking strongly internally connected groups of nodes which are weakly externally connected. In this work, we introduce and study a community definition based on internal edge…

Physics and Society · Physics 2013-01-15 Richard K. Darst David R. Reichman Peter Ronhovde , Zohar Nussinov

Society is experimenting changes in information consumption, as new information channels such as social networks let people share news that do not necessarily be trust worthy. Sometimes, these sources of information produce fake news…

Artificial Intelligence · Computer Science 2020-04-03 Eduardo C. Garrido-Merchán , Cristina Puente , Rafael Palacios

This paper presents a statistically sound method for using likelihood to assess potential models of network evolution. The method is tested on data from five real networks. Data from the internet autonomous system network, from two photo…

Social and Information Networks · Computer Science 2013-03-28 R. G. Clegg , R. Landa , U. Harder , M. Rio

Motivated by gene set enrichment analysis, we investigate the problem of combined hypothesis testing on a graph. We introduce a general framework to effectively use the structural information of the underlying graph when testing…

Methodology · Statistics 2016-10-26 Shulei Wang , Ming Yuan