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There are a number of existing studies analysing the convergence behaviour of graph neural networks on large random graphs. Unfortunately, the majority of these studies do not model correlations between node features, which would naturally…

Machine Learning · Computer Science 2026-02-19 Mohammed Zain Ali Ahmed

Inferring the connectivity structure of networked systems from data is an extremely important task in many areas of science. Most of real-world networks exhibit sparsely connected topologies, with links between nodes that in some cases may…

Physics and Society · Physics 2022-06-02 Lei Shi , Chen Shen , Libin Jin , Qi Shi , Zhen Wang , Marko Jusup , Stefano Boccaletti

Graph theory has drawn a lot of attention in the field of Neuroscience during the last decade, mainly due to the abundance of tools that it provides to explore the interactions of elements in a complex network like the brain. The local and…

Neurons and Cognition · Quantitative Biology 2016-11-16 Sofia Ira Ktena , Sarah Parisot , Jonathan Passerat-Palmbach , Daniel Rueckert

The purpose of this article is to introduce a new iterative algorithm with properties resembling real life bipartite graphs. The algorithm enables us to generate wide range of random bigraphs, which features are determined by a set of…

Artificial Intelligence · Computer Science 2010-11-03 Szymon Chojnacki , Mieczysław Kłopotek

Bayesian methods for learning Gaussian graphical models offer a principled framework for quantifying model uncertainty and incorporating prior knowledge. However, their scalability is constrained by the computational cost of jointly…

Methodology · Statistics 2025-08-28 Reza Mohammadi , Marit Schoonhoven , Lucas Vogels , S. Ilker Birbil

Reconstructing gene regulatory networks from large-scale heterogeneous data is a key challenge in biology. In multi-omics data analysis, networks based on pairwise statistical association measures remain popular, as they are easy to build…

Methodology · Statistics 2025-06-11 Ekaterina Tomilina , Florence Jaffrézic , Gildas Mazo

Bayesian graphical models are powerful tools to infer complex relationships in high dimension, yet are often fraught with computational and statistical challenges. If exploited in a principled way, the increasing information collected…

Methodology · Statistics 2024-03-15 Xiaoyue Xi , Hélène Ruffieux

We use mathematical methods from the theory of tailored random graphs to study systematically the effects of sampling on topological features of large biological signalling networks. Our aim in doing so is to increase our quantitative…

Quantitative Methods · Quantitative Biology 2011-06-02 A. Annibale , A. C. C. Coolen

Network detection is an important capability in many areas of applied research in which data can be represented as a graph of entities and relationships. Oftentimes the object of interest is a relatively small subgraph in an enormous,…

Social and Information Networks · Computer Science 2018-04-12 Steven T. Smith , Kenneth D. Senne , Scott Philips , Edward K. Kao , Garrett Bernstein

This paper develops a framework for testing for associations in a possibly high-dimensional linear model where the number of features/variables may far exceed the number of observational units. In this framework, the observations are split…

Methodology · Statistics 2018-05-04 Rina Foygel Barber , Emmanuel J. Candes

While it is common practice in applied network analysis to report various standard network summary statistics, these numbers are rarely accompanied by uncertainty quantification. Yet any error inherent in the measurements underlying the…

Methodology · Statistics 2022-05-06 Jinyuan Chang , Eric D. Kolaczyk , Qiwei Yao

This article proposes a novel Bayesian classification framework for networks with labeled nodes. While literature on statistical modeling of network data typically involves analysis of a single network, the recent emergence of complex data…

Methodology · Statistics 2020-09-25 Sharmistha Guha , Abel Rodriguez

Designing plausible network models typically requires scholars to form a priori intuitions on the key drivers of network formation. Oftentimes, these intuitions are supported by the statistical estimation of a selection of network evolution…

Social and Information Networks · Computer Science 2019-07-01 Telmo Menezes , Camille Roth

We introduce local conditional hypotheses that express how the relation between explanatory variables and outcomes changes across different contexts, described by covariates. By expanding upon the model-X knockoff filter, we show how to…

Methodology · Statistics 2026-01-12 Paula Gablenz , Matteo Sesia , Tianshu Sun , Chiara Sabatti

Knockoffs is a new framework for controlling the false discovery rate (FDR) in multiple hypothesis testing problems involving complex statistical models. While there has been great emphasis on Type-I error control, Type-II errors have been…

Methodology · Statistics 2017-12-19 Asaf Weinstein , Rina Barber , Emmanuel Candes

Bayesian networks can represent directed gene regulations and therefore are favored over co-expression networks. However, hardly any Bayesian network study concerns the false discovery control (FDC) of network edges, leading to low…

Methodology · Statistics 2018-03-29 Lingfei Wang , Tom Michoel

Many real world networks contain a statistically surprising number of certain subgraphs, called network motifs. In the prevalent approach to motif analysis, network motifs are detected by comparing subgraph frequencies in the original…

Social and Information Networks · Computer Science 2014-11-25 Anatol E. Wegner

We propose a graph neural network (GNN)-based method to predict the distribution of penalties induced by outages in communication networks, where connections are protected by resources shared between working and backup paths. The GNN-based…

Networking and Internet Architecture · Computer Science 2023-06-22 Krzysztof Rusek , Piotr Boryło , Piotr Jaglarz , Fabien Geyer , Albert Cabellos , Piotr Chołda

An important question in statistical network analysis is how to estimate models of discrete and dependent network data with intractable likelihood functions, without sacrificing computational scalability and statistical guarantees. We…

Statistics Theory · Mathematics 2026-03-06 Jonathan R. Stewart , Michael Schweinberger

Reconstructing weighted networks from partial information is necessary in many important circumstances, e.g. for a correct estimation of systemic risk. It has been shown that, in order to achieve an accurate reconstruction, it is crucial to…

Physics and Society · Physics 2017-03-07 Tiziano Squartini , Giulio Cimini , Andrea Gabrielli , Diego Garlaschelli