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We describe techniques for the robust detection of community structure in some classes of time-dependent networks. Specifically, we consider the use of statistical null models for facilitating the principled identification of structural…

数据分析、统计与概率 · 物理学 2013-04-16 Danielle S. Bassett , Mason A. Porter , Nicholas F. Wymbs , Scott T. Grafton , Jean M. Carlson , Peter J. Mucha

The paper proposes the combination of stochastic blockmodels with smooth graphon models. The first allow for partitioning the set of individuals in a network into blocks which represent groups of nodes that presumably connect stochastically…

统计方法学 · 统计学 2022-03-28 Benjamin Sischka , Göran Kauermann

The stochastic block model and its variants have been a popular tool in analyzing large network data with community structures. In this paper we develop an efficient network cross-validation (NCV) approach to determine the number of…

统计方法学 · 统计学 2015-03-30 Kehui Chen , Jing Lei

Observations consisting of measurements on relationships for pairs of objects arise in many settings, such as protein interaction and gene regulatory networks, collections of author-recipient email, and social networks. Analyzing such data…

统计方法学 · 统计学 2010-02-22 Edoardo M Airoldi , David M Blei , Stephen E Fienberg , Eric P Xing

We consider functional linear regression models where functional outcomes are associated with scalar predictors by coefficient functions with shape constraints, such as monotonicity and convexity, that apply to sub-domains of interest. To…

统计方法学 · 统计学 2025-05-09 Kyunghee Han , Yeonjoo Park , Soo-Young Kim

Network-topology inference from (vertex) signal observations is a prominent problem across data-science and engineering disciplines. Most existing schemes assume that observations from all nodes are available, but in many practical…

统计方法学 · 统计学 2021-11-11 Andrei Buciulea , Samuel Rey , Antonio G. Marques

Models of networks play a major role in explaining and reproducing empirically observed patterns. Suitable models can be used to randomize an observed network while preserving some of its features, or to generate synthetic graphs whose…

Community detection is the task of clustering objects based on their pairwise relationships. Most of the model-based community detection methods, such as the stochastic block model and its variants, are designed for networks with binary…

机器学习 · 统计学 2024-12-06 Xiang Li , Yunpeng Zhao , Qing Pan , Ning Hao

The stochastic block model (SBM) is a random graph model with different group of vertices connecting differently. It is widely employed as a canonical model to study clustering and community detection, and provides a fertile ground to study…

概率论 · 数学 2023-10-26 Emmanuel Abbe

We develop an information-theoretic view of the stochastic block model, a popular statistical model for the large-scale structure of complex networks. A graph $G$ from such a model is generated by first assigning vertex labels at random…

信息论 · 计算机科学 2015-08-03 Yash Deshpande , Emmanuel Abbe , Andrea Montanari

Quantile regression is useful for characterizing the conditional distribution of a response variable and understanding heterogeneity in the covariate effects at different quantiles. The rise of high-dimensional physiological data in…

统计方法学 · 统计学 2026-03-25 Yuanzhen Yue , Stella Self , Yichao Wu , Jiajia Zhang , Rahul Ghosal

Many financial and economic variables, including financial returns, exhibit nonlinear dependence, heterogeneity and heavy-tailedness. These properties may make problematic the analysis of (non-)efficiency and volatility clustering in…

计量经济学 · 经济学 2023-12-01 Rustam Ibragimov , Rasmus Pedersen , Anton Skrobotov

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

Functional data often arise from measurements on fine time grids and are obtained by separating an almost continuous time record into natural consecutive intervals, for example, days. The functions thus obtained form a functional time…

统计理论 · 数学 2016-08-14 Siegfried Hörmann , Piotr Kokoszka

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

社会与信息网络 · 计算机科学 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

This paper proposes a statistical verification framework using Gaussian processes (GPs) for simulation-based verification of stochastic nonlinear systems with parametric uncertainties. Given a small number of stochastic simulations, the…

系统与控制 · 计算机科学 2017-10-03 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

In many applications of network analysis, it is important to distinguish between observed and unobserved factors affecting network structure. To this end, we develop spectral estimators for both unobserved blocks and the effect of…

统计方法学 · 统计学 2021-03-15 Angelo Mele , Lingxin Hao , Joshua Cape , Carey E. Priebe

In this paper, we consider data consisting of multiple networks, each comprised of a different edge set on a common set of nodes. Many models have been proposed for the analysis of such multi-view network data under the assumption that the…

统计方法学 · 统计学 2021-03-24 Lucy L. Gao , Daniela Witten , Jacob Bien

Community detection is an important task in network analysis, in which we aim to learn a network partition that groups together vertices with similar community-level connectivity patterns. By finding such groups of vertices with similar…

机器学习 · 统计学 2015-05-25 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

The stochastic block model (SBM) is a fundamental tool for community detection in networks, yet the finite-sample performance of inference methods remains underexplored. We evaluate key algorithms-spectral methods, variational inference,…

社会与信息网络 · 计算机科学 2024-12-06 Tianjun Ke , Zhiyu Xu