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This paper focuses on the comparison of networks on the basis of statistical inference. For that purpose, we rely on smooth graphon models as a nonparametric modeling strategy that is able to capture complex structural patterns. The graphon…

统计方法学 · 统计学 2025-05-21 Benjamin Sischka , Göran Kauermann

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

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

机器学习 · 统计学 2022-12-21 Madeline Navarro , Santiago Segarra

Markov networks are frequently used in sciences to represent conditional independence relationships underlying observed variables arising from a complex system. It is often of interest to understand how an underlying network differs between…

统计方法学 · 统计学 2021-04-26 Byol Kim , Song Liu , Mladen Kolar

The identification of similar patient pathways is a crucial task in healthcare analytics. A flexible tool to address this issue are parametric competing risks models, where transition intensities may be specified by a variety of parametric…

统计方法学 · 统计学 2024-01-10 Kathrin Möllenhoff , Nadine Binder , Holger Dette

Suppose two networks are observed for the same set of nodes, where each network is assumed to be generated from a weighted stochastic block model. This paper considers the problem of testing whether the community memberships of the two…

统计理论 · 数学 2018-12-03 Yezheng Li , Hongzhe Li

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

社会与信息网络 · 计算机科学 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

Network moments--rescaled counts of motifs such as stars and triangles--are fundamental summaries of network structure, widely used in goodness-of-fit testing, model selection, and network comparison. While the univariate distribution of a…

统计方法学 · 统计学 2026-04-14 Mingyu Qi , Chen-Wei Hua , Tianxi Li , Wen Zhou

We adopt the statistical framework on robustness proposed by Watson and Holmes in 2016 and then tackle the practical challenges that hinder its applicability to network models. The goal is to evaluate how the quality of an inference for a…

统计方法学 · 统计学 2020-12-08 Marios Papamichalis , Simon Lunagomez , Patrick J. Wolfe

An overarching objective in contemporary statistical network analysis is extracting salient information from datasets consisting of multiple networks. To date, considerable attention has been devoted to node and network clustering, while…

统计方法学 · 统计学 2025-08-19 Wenlong Jiang , Chris McKennan , Jesús Arroyo , Joshua Cape

With the emergence of dynamic multiplex networks, corresponding to graphs where multiple types of edges evolve over time, a key inferential task is to determine whether the layers associated with different edge types differ in their…

统计方法学 · 统计学 2025-12-04 Maximilian Baum , Francesco Sanna Passino , Axel Gandy

The stochastic block model (SBM) has been widely used to analyze network data. Various goodness-of-fit tests have been proposed to assess the adequacy of model structures. To the best of our knowledge, however, none of the existing…

统计方法学 · 统计学 2025-07-23 Yujia Wu , Wei Lan , Long Feng , Chih-Ling Tsai

The usage of psychological networks that conceptualize psychological behavior as a complex interplay of psychological and other components has gained increasing popularity in various fields of psychology. While prior publications have…

应用统计 · 统计学 2017-01-23 Sacha Epskamp , Denny Borsboom , Eiko I. Fried

A wide range of tasks in network analysis, such as clustering network populations or identifying anomalies in temporal graph streams, require a measure of the similarity between two graphs. To provide a meaningful data summary for…

物理与社会 · 物理学 2024-10-15 Helcio Felippe , Federico Battiston , Alec Kirkley

A novel Gromov-Wasserstein learning framework is proposed to jointly match (align) graphs and learn embedding vectors for the associated graph nodes. Using Gromov-Wasserstein discrepancy, we measure the dissimilarity between two graphs and…

机器学习 · 计算机科学 2019-05-08 Hongteng Xu , Dixin Luo , Hongyuan Zha , Lawrence Carin

Assessing whether two patient populations exhibit comparable event dynamics is essential for evaluating treatment equivalence, pooling data across cohorts, or comparing clinical pathways across hospitals or strategies. We introduce a…

统计方法学 · 统计学 2026-04-10 Zoe Kristin Lange , Maryam Farhadizadeh , Holger Dette , Nadine Binder

The widespread relevance of complex networks is a valuable tool in the analysis of a broad range of systems. There is a demand for tools which enable the extraction of meaningful information and allow the comparison between different…

物理与社会 · 物理学 2011-03-30 Kathryn Cooper , Mauricio Barahona

Similar to community detection, partitioning the nodes of a network according to their structural roles aims to identify fundamental building blocks of a network. The found partitions can be used, e.g., to simplify descriptions of the…

社会与信息网络 · 计算机科学 2023-05-31 Michael Scholkemper , Michael T. Schaub

Comparing two population means of network data is of paramount importance in a wide range of scientific applications. Many existing network inference solutions focus on global testing of entire networks, without comparing individual network…

统计方法学 · 统计学 2019-10-10 Yin Xia , Lexin Li

Comparative analyses of graph structured datasets underly diverse problems. Examples of these problems include identification of conserved functional components (biochemical interactions) across species, structural similarity of large…

量子物理 · 物理学 2014-09-25 Anmer Daskin , Ananth Grama , Sabre Kais