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Probability models on graphs are becoming increasingly important in many applications, but statistical tools for fitting such models are not yet well developed. Here we propose a general method of moments approach that can be used to fit a…

Statistics Theory · Mathematics 2012-02-24 Peter J. Bickel , Aiyou Chen , Elizaveta Levina

Random-effects meta-analyses are very commonly used in medical statistics. Recent methodological developments include multivariate (multiple outcomes) and network (multiple treatments) meta-analysis. Here we provide a new model and…

Methodology · Statistics 2017-08-16 Dan Jackson , Sylwia Bujkiewicz , Martin Law , Richard D Riley , Ian White

An important problem in network analysis is predicting a node attribute using both network covariates, such as graph embedding coordinates or local subgraph counts, and conventional node covariates, such as demographic characteristics.…

Methodology · Statistics 2023-02-24 Robert Lunde , Elizaveta Levina , Ji Zhu

Network structures underlie the dynamics of many complex phenomena, from gene regulation and foodwebs to power grids and social media. Yet, as they often cannot be observed directly, their connectivities must be inferred from observations…

Machine Learning · Computer Science 2023-11-02 Thomas Gaskin , Grigorios A. Pavliotis , Mark Girolami

Characterizing motif (i.e., locally connected subgraph patterns) statistics is important for understanding complex networks such as online social networks and communication networks. Previous work made the strong assumption that the graph…

Social and Information Networks · Computer Science 2015-02-25 Pinghui Wang , John C. S. Lui , Don Towsley

The increasing availability of time --and space-- resolved data describing human activities and interactions gives insights into both static and dynamic properties of human behavior. In practice, nevertheless, real-world datasets can often…

Physics and Society · Physics 2013-11-27 Nicolas Tremblay , Alain Barrat , Cary Forest , Mark Nornberg , Jean-François Pinton , Pierre Borgnat

We propose a novel way of modelling time-varying networks, by inducing two-way sparsity on local models of node connectivity. This two-way sparsity separately promotes sparsity across time and sparsity across variables (within time).…

Methodology · Statistics 2020-11-19 Thomas E. Bartlett , Ioannis Kosmidis , Ricardo Silva

Instance segmentation with neural networks is an essential task in environment perception. In many works, it has been observed that neural networks can predict false positive instances with high confidence values and true positives with low…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Kira Maag , Matthias Rottmann , Serin Varghese , Fabian Hueger , Peter Schlicht , Hanno Gottschalk

Graph Convolutional Networks (GCNs) have achieved impressive empirical advancement across a wide variety of semi-supervised node classification tasks. Despite their great success, training GCNs on large graphs suffers from computational and…

Machine Learning · Computer Science 2021-11-02 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

Network data are increasingly collected along with other variables of interest. Our motivation is drawn from neurophysiology studies measuring brain connectivity networks for a sample of individuals along with their membership to a low or…

Methodology · Statistics 2018-09-11 Daniele Durante , David B. Dunson

The network data has attracted considerable attention in modern statistics. In research on complex network data, one key issue is finding its underlying connection structure given a network sample. The methods that have been proposed in…

Methodology · Statistics 2024-08-09 Kang Fu , Jianwei Hu , Seydou Keita

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

Computation · Statistics 2017-01-17 Jack Davis , Steven K. Thompson

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

Social and Information Networks · Computer Science 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physical interactions unknown to us. To infer these interactions,…

Quantitative Methods · Quantitative Biology 2015-05-13 Mark A. Kramer , Uri T. Eden , Sydney S. Cash , Eric D. Kolaczyk

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

This paper revisits the classical concept of network modularity and its spectral relaxations used throughout graph data analysis. We formulate and study several modularity statistic variants for which we establish asymptotic distributional…

Methodology · Statistics 2024-02-26 Anirban Mitra , Konasale Prasad , Joshua Cape

Transcription networks, and other directed networks can be characterized by some topological observables such as for example subgraph occurrence (network motifs). In order to perform such kind of analysis, it is necessary to be able to…

Quantitative Methods · Quantitative Biology 2007-06-04 D. Fusco , B. Bassetti , P. Jona , M. Cosentino Lagomarsino

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

Machine Learning · Computer Science 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

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

We consider a two-sample hypothesis testing problem, where the distributions are defined on the space of undirected graphs, and one has access to only one observation from each model. A motivating example for this problem is comparing the…