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Traditional works on community detection from observations of information cascade assume that a single adjacency matrix parametrizes all the observed cascades. However, in reality the connection structure usually does not stay the same…

Machine Learning · Statistics 2019-04-11 Ming Yu , Varun Gupta , Mladen Kolar

In this paper we introduce a statistical inference framework for estimating the contagion source from a partially observed contagion spreading process on an arbitrary network structure. The framework is based on a maximum likelihood…

Social and Information Networks · Computer Science 2015-03-12 Nino Antulov-Fantulin , Alen Lancic , Hrvoje Stefancic , Mile Sikic , Tomislav Smuc

We study the problem of estimating the source of a network cascade given a time series of noisy information about the spread. Initially, there is a single vertex affected by the cascade (the source) and the cascade spreads in discrete time…

Statistics Theory · Mathematics 2022-11-15 Anirudh Sridhar , H. Vincent Poor

Modeling information spread through a network is one of the key problems of network analysis, with applications in a wide array of areas such as marketing and public health. Most approaches assume that the spread is governed by some…

Social and Information Networks · Computer Science 2025-11-03 Alexander Kagan , Elizaveta Levina , Ji Zhu

Large scale networks delineating collective dynamics often exhibit cascading failures across nodes leading to a system-wide collapse. Prominent examples of such phenomena would include collapse on financial and economic networks.…

Statistical Finance · Quantitative Finance 2020-01-07 Sudarshan Kumar , Tiziana Di Matteo , Anindya S. Chakrabarti

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

Community detection is one of the most important problems in network analysis. Among many algorithms proposed for this task, methods based on statistical inference are of particular interest: they are mathematically sound and were shown to…

Social and Information Networks · Computer Science 2019-02-25 Liudmila Prokhorenkova , Alexey Tikhonov

Network embedding which encodes all vertices in a network as a set of numerical vectors in accordance with it's local and global structures, has drawn widespread attention. Network embedding not only learns significant features of a…

Physics and Society · Physics 2017-04-20 Weiwei Gu , Li Gong , Xiandao Lou , Jiang Zhang

Inference of the network structure (e.g., routing topology) and dynamics (e.g., link performance) is an essential component in many network design and management tasks. In this paper we propose a new, general framework for analyzing and…

Networking and Internet Architecture · Computer Science 2019-11-13 Jian Ni , Sekhar Tatikonda

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

Provenance embedding algorithms are well known for tracking the footprints of information flow in wireless networks. Recently, low-latency provenance embedding algorithms have received traction in vehicular networks owing to strict…

Information Theory · Computer Science 2022-04-04 Suraj Sajeev , Manish Bansal , Sriraam S , J. Harshan , Huzur Saran , Yih-Chun Hu

With the increasing relevance of large networks in important areas such as the study of contact networks for spread of disease, or social networks for their impact on geopolitics, it has become necessary to study machine learning tools that…

Social and Information Networks · Computer Science 2021-11-10 Aman Barot , Shankar Bhamidi , Souvik Dhara

Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

Machine Learning · Statistics 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

Information spread through social networks is ubiquitous. Influence maximiza- tion (IM) algorithms aim to identify individuals who will generate the greatest spread through the social network if provided with information, and have been…

Machine Learning · Statistics 2023-05-16 Octavio Mesner , Elizaveta Levina , Ji Zhu

This paper studies network resilience against structured additive perturbations to its topology. We consider dynamic networks modeled as linear time-invariant systems subject to perturbations of bounded energy satisfying specific sparsity…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Shenyu Liu , Sonia Martinez , Jorge Cortes

With network data becoming ubiquitous in many applications, many models and algorithms for network analysis have been proposed. Yet methods for providing uncertainty estimates in addition to point estimates of network parameters are much…

Methodology · Statistics 2022-06-28 Qianhua Shan , Elizaveta Levina

Complex network theory has shown success in understanding the emergent and collective behavior of complex systems [1]. Many real-world complex systems were recently discovered to be more accurately modeled as multiplex networks [2-6]---in…

Physics and Society · Physics 2021-06-14 Vito M. Leli , Saeed Osat , Timur Tlyachev , Dmitry V. Dylov , Jacob D. Biamonte

A characteristic property of networks is their ability to propagate influences, such as infectious diseases, behavioral changes, and failures. An especially important class of such contagious dynamics is that of cascading processes. These…

Physics and Society · Physics 2017-01-26 Adilson E. Motter , Yang Yang

Diffusion models achieve state-of-the-art performance in various generation tasks. However, their theoretical foundations fall far behind. This paper studies score approximation, estimation, and distribution recovery of diffusion models,…

Machine Learning · Computer Science 2023-02-15 Minshuo Chen , Kaixuan Huang , Tuo Zhao , Mengdi Wang

In this paper, we investigate community detection in networks in the presence of node covariates. In many instances, covariates and networks individually only give a partial view of the cluster structure. One needs to jointly infer the full…

Methodology · Statistics 2018-04-26 Bowei Yan , Purnamrita Sarkar