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This paper proposes and analyzes a novel clustering algorithm that combines graph-based diffusion geometry with techniques based on density and mode estimation. The proposed method is suitable for data generated from mixtures of…

Machine Learning · Statistics 2019-01-01 Mauro Maggioni , James M. Murphy

Political misinformation, astroturfing and organised trolling are online malicious behaviours with significant real-world effects. Many previous approaches examining these phenomena have focused on broad campaigns rather than the small…

Social and Information Networks · Computer Science 2022-02-28 Derek Weber , Frank Neumann

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

Social and Information Networks · Computer Science 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

A basic problem in the analysis of social networks is missing data. When a network model does not accurately capture all the actors or relationships in the social system under study, measures computed on the network and ultimately the final…

Social and Information Networks · Computer Science 2014-09-29 Rajesh Sharma , Matteo Magnani , Danilo Montesi

Targeting to understand the underlying explainable factors behind observations and modeling the conditional generation process on these factors, we connect disentangled representation learning to Diffusion Probabilistic Models (DPMs) to…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Tao Yang , Yuwang Wang , Yan Lv , Nanning Zheng

In increasingly many settings, data sets consist of multiple samples from a population of networks, with vertices aligned across these networks. For example, brain connectivity networks in neuroscience consist of measures of interaction…

Statistics Theory · Mathematics 2021-05-11 Keith Levin , Asad Lodhia , Elizaveta Levina

Network motifs are patterns of over-represented node interactions in a network which have been previously used as building blocks to understand various aspects of the social networks. In this paper, we use motif patterns to characterize the…

Social and Information Networks · Computer Science 2019-03-05 Soumajyoti Sarkar , Ruocheng Guo , Paulo Shakarian

Diffusion-based generative models have achieved promising results recently, but raise an array of open questions in terms of conceptual understanding, theoretical analysis, algorithm improvement and extensions to discrete, structured,…

Machine Learning · Computer Science 2022-09-01 Xingchao Liu , Lemeng Wu , Mao Ye , Qiang Liu

Dynamic network analysis has found an increasing interest in the literature because of the importance of different kinds of dynamic social networks, biological networks, and economic networks. Most available probability and statistical…

Methodology · Statistics 2017-10-18 Elynn Yi Chen , Rong Chen

In this paper, we consider sparse networks consisting of a finite number of non-overlapping communities, i.e. disjoint clusters, so that there is higher density within clusters than across clusters. Both the intra- and inter-cluster edge…

Social and Information Networks · Computer Science 2014-11-06 Se-Young Yun , Marc Lelarge , Alexandre Proutiere

A method of `network filtering' has been proposed recently to detect the effects of certain external perturbations on the interacting members in a network. However, with large networks, the goal of detection seems a priori difficult to…

Methodology · Statistics 2010-01-28 Shu Yang , Eric D. Kolaczyk

Integrating structural information and metadata, such as gender, social status, or interests, enriches networks and enables a better understanding of the large-scale structure of complex systems. However, existing approaches to metadata…

Physics and Society · Physics 2022-11-16 Aleix Bassolas , Anton Eriksson , Antoine Marot , Martin Rosvall , Vincenzo Nicosia

This paper deals with the estimation of exogeneous peer effects for partially observed networks under the new inferential paradigm of design identification, which characterizes the missing data challenge arising with sampled networks with…

Econometrics · Economics 2022-08-22 Mamadou Yauck

Community detection is a fundamental task in social network analysis. In this paper, first we develop an endorsement filtered user connectivity network by utilizing Heider's structural balance theory and certain Twitter triad patterns.…

Social and Information Networks · Computer Science 2016-08-08 Mert Ozer , Nyunsu Kim , Hasan Davulcu

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

Machine Learning · Statistics 2018-07-03 Jonathan Mei , José M. F. Moura

An active line of research has used on-line data to study the ways in which discrete units of information---including messages, photos, product recommendations, group invitations---spread through social networks. There is relatively little…

Social and Information Networks · Computer Science 2017-04-10 Rahmtin Rotabi , Cristian Danescu-Niculescu-Mizil , Jon Kleinberg

Understanding the process by which a contagion disseminates throughout a network is of great importance in many real world applications. The required sophistication of the inference approach depends on the type of information we want to…

Social and Information Networks · Computer Science 2017-05-26 Shohreh Shaghaghian , Mark Coates

The focus of this work is on developing probabilistic models for user activity in social networks by incorporating the social network influence as perceived by the user. For this, we propose a coupled Hidden Markov Model, where each user's…

Physics and Society · Physics 2013-05-10 Vasanthan Raghavan , Greg Ver Steeg , Aram Galstyan , Alexander G. Tartakovsky

Community detection is one of the most important methodological fields of network science, and one which has attracted a significant amount of attention over the past decades. This area deals with the automated division of a network into…

Physics and Society · Physics 2023-07-07 Tiago P. Peixoto

In this work, we explore an untapped signal in diffusion model inference. While all previous methods generate images independently at inference, we instead ask if samples can be generated collaboratively. We propose Group Diffusion,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Sicheng Mo , Thao Nguyen , Richard Zhang , Nick Kolkin , Siddharth Srinivasan Iyer , Eli Shechtman , Krishna Kumar Singh , Yong Jae Lee , Bolei Zhou , Yuheng Li