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In the past two decades, significant advances have been made in understanding the structural and functional properties of biological networks, via graph-theoretic analysis. In general, most graph-theoretic studies are conducted in the…

物理与社会 · 物理学 2013-10-21 Michelle Rudolph-Lilith , Lyle E. Muller

We introduce a quantitative method to compare arbitrary pairs of graph centrality measures, based on the ordering of vertices induced by them. The proposed method is conceptually simple, mathematically elegant, and allows for a quantitative…

社会与信息网络 · 计算机科学 2026-01-26 G. Exarchakos , R. van der Hofstad , O. Nagy , M. Pandey

Graph-constrained estimation methods encourage similarities among neighboring covariates presented as nodes on a graph, which can result in more accurate estimations, especially in high dimensional settings. Variable selection approaches…

统计方法学 · 统计学 2018-05-29 Sen Zhao , Ali Shojaie

Outstanding achievements of graph neural networks for spatiotemporal time series analysis show that relational constraints introduce an effective inductive bias into neural forecasting architectures. Often, however, the relational…

机器学习 · 计算机科学 2023-08-03 Andrea Cini , Daniele Zambon , Cesare Alippi

Measuring the topological overlap of two graphs becomes important when assessing the changes between temporally adjacent graphs in a time-evolving network. Current methods depend on the fraction of nodes that have persisting edges. This…

物理与社会 · 物理学 2014-03-06 Fiona Pigott , Mauricio Rene Herrera Marin

Conformal inference is a method that provides prediction sets for machine learning models, operating independently of the underlying distributional assumptions and relying solely on the exchangeability of training and test data. Despite its…

统计方法学 · 统计学 2025-10-01 Daniela Corbetta , Livio Finos , Ludwig Geistlinger , Davide Risso

Network alignment is a problem of finding the node mapping between similar networks. It links the data from separate sources and is widely studied in bioinformation and social network fields. The critical difference between network…

社会与信息网络 · 计算机科学 2021-07-26 Hailong Li , Naiyue Chen

A neighborhood graph, which represents the instances as vertices and their relations as weighted edges, is the basis of many semi-supervised and relational models for node labeling and link prediction. Most methods employ a sequential…

社会与信息网络 · 计算机科学 2016-07-05 Shobeir Fakhraei , Dhanya Sridhar , Jay Pujara , Lise Getoor

A key question in many network studies is whether the observed correlations between units are primarily due to contagion or latent confounding. Here, we study this question using a segregated graph (Shpitser, 2015) representation of these…

机器学习 · 计算机科学 2025-03-07 Yufeng Wu , Rohit Bhattacharya

Inferring a binary connectivity graph from resting-state fMRI data for a single subject requires making several methodological choices and assumptions that can significantly affect the results. In this study, we investigate the robustness…

统计方法学 · 统计学 2025-03-20 Alice Chevaux , Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

Modeling how networks change under structural perturbations can yield foundational insights into network robustness, which is critical in many real-world applications. The largest connected component is a popular measure of network…

物理与社会 · 物理学 2025-09-30 Jessica Jiang , Allison C. Zhuang , Petter Holme , Peter J. Mucha , Alice C. Schwarze

We propose a novel measure of degree heterogeneity, for unweighted and undirected complex networks, which requires only the degree distribution of the network for its computation. We show that the proposed measure can be applied to all…

物理与社会 · 物理学 2017-10-03 Rinku Jacob , K. P. Harikrishnan , R. Misra , G. Ambika

Observability and estimation are closely tied to the system structure, which can be visualized as a system graph--a graph that captures the inter-dependencies within the state variables. For example, in social system graphs such…

系统与控制 · 电气工程与系统科学 2021-05-25 Mohammadreza Doostmohammadian , Themistoklis Charalambous , Miadreza Shafie-khah , Hamid R. Rabiee , Usman A. Khan

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…

统计方法学 · 统计学 2023-01-30 Francesca Mandel , Ian Barnett

In genomics studies, the investigation of the gene relationship often brings important biological insights. Currently, the large heterogeneous datasets impose new challenges for statisticians because gene relationships are often local. They…

统计方法学 · 统计学 2022-03-07 Jinjin Tian , Jing Lei , Kathryn Roeder

In the regime of change-point detection, a nonparametric framework based on scan statistics utilizing graphs representing similarities among observations is gaining attention due to its flexibility and good performances for high-dimensional…

统计方法学 · 统计学 2021-09-16 Hoseung Song , Hao Chen

Ordinal measures provide a valuable collection of tools for analyzing correlated data series. However, using these methods to understand the information interchange in networks of dynamical systems, and uncover the interplay between…

物理与社会 · 物理学 2023-08-02 Juan A. Almendral , I. Leyva , Irene Sendiña-Nadal

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

计量经济学 · 经济学 2025-12-30 Michael P. Leung , Pantelis Loupos

Classical graph matching aims to find a node correspondence between two unlabeled graphs of known topologies. This problem has a wide range of applications, from matching identities in social networks to identifying similar biological…

信号处理 · 电气工程与系统科学 2024-10-28 Hang Liu , Anna Scaglione , Hoi-To Wai

Exchangeable random graphs, which include some of the most widely studied network models, have emerged as the mainstay of statistical network analysis in recent years. Graphons, which are the central objects in graph limit theory, provide a…

统计理论 · 数学 2024-09-17 Anirban Chatterjee , Soham Dan , Bhaswar B. Bhattacharya