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Many tools from the field of graph signal processing exploit knowledge of the underlying graph's structure (e.g., as encoded in the Laplacian matrix) to process signals on the graph. Therefore, in the case when no graph is available, graph…

Data Structures and Algorithms · Computer Science 2017-06-07 Bastien Pasdeloup , Vincent Gripon , Grégoire Mercier , Dominique Pastor , Michael G. Rabbat

Neural networks are powerful predictive models, but they provide little insight into the nature of relationships between predictors and outcomes. Although numerous methods have been proposed to quantify the relative contributions of input…

Methodology · Statistics 2023-01-30 Francesca Mandel , Ian Barnett

The study of sampling signals on graphs, with the goal of building an analog of sampling for standard signals in the time and spatial domains, has attracted considerable attention recently. Beyond adding to the growing theory on graph…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Yuichi Tanaka , Yonina C. Eldar , Antonio Ortega , Gene Cheung

In this paper, we introduce a novel, general purpose, technique for faster sampling of nodes over an online social network. Specifically, unlike traditional random walk which wait for the convergence of sampling distribution to a…

Social and Information Networks · Computer Science 2014-11-04 Azade Nazi , Zhuojie Zhou , Saravanan Thirumuruganathan , Nan Zhang , Gautam Das

In recent years, there has been a growing effort to develop effective and efficient algorithms for fake account detection in online social networks. This survey comprehensively reviews existing methods, with a focus on graph-based…

Social and Information Networks · Computer Science 2025-07-10 Ali Safarpoor Dehkordi , Ahad N. Zehmakan

Recent work has introduced sparse exchangeable graphs and the associated graphex framework, as a generalization of dense exchangeable graphs and the associated graphon framework. The development of this subject involves the interplay…

Probability · Mathematics 2020-02-12 Christian Borgs , Jennifer T. Chayes , Henry Cohn , Victor Veitch

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

In this paper, we propose Continuous Graph Flow, a generative continuous flow based method that aims to model complex distributions of graph-structured data. Once learned, the model can be applied to an arbitrary graph, defining a…

Machine Learning · Computer Science 2019-10-01 Zhiwei Deng , Megha Nawhal , Lili Meng , Greg Mori

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

Methodology · Statistics 2021-03-05 Lizhen Nie , Dan L. Nicolae

In large-scale hypothesis testing, computing exact $p$-values or $e$-values is often resource-intensive, creating a need for budget-aware inferential methods. We propose a general framework for active hypothesis testing that leverages…

Methodology · Statistics 2026-04-09 Qi Kuang , Bowen Gang , Yin Xia

Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga

A graph theoretic perspective is taken for a range of phenomena in continuum physics in order to develop representations for analysis of large scale, high-fidelity solutions to these problems. Of interest are phenomena described by partial…

Computational Physics · Physics 2019-05-22 R. Banerjee , K. Sagiyama , G. H. Teichert , K. Garikipati

The study of networks leads to a wide range of high dimensional inference problems. In many practical applications, one needs to draw inference from one or few large sparse networks. The present paper studies hypothesis testing of graphs in…

Sampling random graphs with given properties is a key step in the analysis of networks, as random ensembles represent basic null models required to identify patterns such as communities and motifs. An important requirement is that the…

Methodology · Statistics 2015-02-23 Tiziano Squartini , Rossana Mastrandrea , Diego Garlaschelli

We report our ongoing work about a new deep architecture working in tandem with a statistical test procedure for jointly training texts and their label descriptions for multi-label and multi-class classification tasks. A statistical…

Computation and Language · Computer Science 2019-06-18 Ahmad Aghaebrahimian , Mark Cieliebak

We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statistical pattern recognition in recent years. Our goal is to test…

Methodology · Statistics 2008-02-06 E. Ceyhan , C. E. Priebe , D. J. Marchette

Eigenvalues of a graph are of high interest in graph analytics for Big Data due to their relevance to many important properties of the graph including network resilience, community detection and the speed of viral propagation. Accurate…

Social and Information Networks · Computer Science 2018-05-22 Guyue Han , Harish Sethu

In this paper, we study a hypothesis test to determine the underlying directed graph structure of nodes in a network, where the nodes represent random processes and the direction of the links indicate a causal relationship between said…

Information Theory · Computer Science 2021-08-26 Sina Molavipour , Germán Bassi , Mikael Skoglund

In this paper we propose a Bayesian answer to testing problems when the hypotheses are not well separated. The idea of the method is to study the posterior distribution of a discrepancy measure between the parameter and the model we want to…

Statistics Theory · Mathematics 2017-06-28 Jean-Bernard Salomond

Sample overlap is a common issue in evidence synthesis in the field of medical research, particularly when integrating findings from observational studies utilizing existing databases such as registries. Due to the general inaccessibility…

Methodology · Statistics 2026-02-26 Zhentian Zhang , Tim Friede , Tim Mathes