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This paper introduces the Gaussian multi-Graphical Model, a model to construct sparse graph representations of matrix- and tensor-variate data. We generalize prior work in this area by simultaneously learning this representation across…

机器学习 · 统计学 2024-02-28 Bailey Andrew , David Westhead , Luisa Cutillo

Network models are powerful tools for gaining new insights from complex biological data. Most lines of investigation in biology involve comparing datasets in the setting where the same predictors are measured across multiple studies or…

We propose a new method to learn the structure of a Gaussian graphical model with finite sample false discovery rate control. Our method builds on the knockoff framework of Barber and Cand\`{e}s for linear models. We extend their approach…

统计方法学 · 统计学 2021-04-20 Jinzhou Li , Marloes H. Maathuis

Gaussian graphical model is a graphical representation of the dependence structure for a Gaussian random vector. It is recognized as a powerful tool in different applied fields such as bioinformatics, error-control codes, speech language,…

机器学习 · 统计学 2017-01-10 Valery A. Kalyagin , Alexander P. Koldanov , Petr A. Koldanov , Panos M. Pardalos

We study simultaneous inference for multiple matrix-variate Gaussian graphical models in high-dimensional settings. Such models arise when spatiotemporal data are collected across multiple sample groups or experimental sessions, where each…

统计方法学 · 统计学 2026-01-21 Zongge Liu , Heejong Bong , Zhao Ren , Matthew A. Smith , Robert E. Kass

Spoofing detection in financial trading is crucial, especially for identifying complex behaviors such as conspiracy spoofing. Traditional machine-learning approaches primarily focus on isolated node features, often overlooking the broader…

机器学习 · 计算机科学 2025-10-08 Sheng Xiang , Yidong Jiang , Yunting Chen , Dawei Cheng , Guoping Zhao , Changjun Jiang

The recent emergence of deep learning has led to a great deal of work on designing supervised deep semantic segmentation algorithms. As in many tasks sufficient pixel-level labels are very difficult to obtain, we propose a method which…

计算机视觉与模式识别 · 计算机科学 2024-04-19 Matthias Schwab , Agnes Mayr , Markus Haltmeier

Inference for the stochastic blockmodel is currently of burgeoning interest in the statistical community, as well as in various application domains as diverse as social networks, citation networks, brain connectivity networks…

统计方法学 · 统计学 2016-02-10 Shakira Suwan , Dominic S. Lee , Runze Tang , Daniel L. Sussman , Minh Tang , Carey E. Priebe

Link prediction is a cornerstone of the Web ecosystem, powering applications from recommendation and search to knowledge graph completion and collaboration forecasting. However, large-scale networks present unique challenges: they contain…

社会与信息网络 · 计算机科学 2026-01-29 Zhejian Yang , Songwei Zhao , Zilin Zhao , Hechang Chen

Functional Gaussian graphical models (GGM) used for analyzing multivariate functional data customarily estimate an unknown graphical model representing the conditional relationships between the functional variables. However, in many…

统计方法学 · 统计学 2024-10-03 Debangan Dey , Sudipto Banerjee , Martin Lindquist , Abhirup Datta

This paper proposes a novel scalable community-based neural framework for graph learning. The framework learns the graph topology through the task of community detection and link prediction by optimizing with our proposed joint SBM loss…

社会与信息网络 · 计算机科学 2020-05-19 Zheng Chen , Xinli Yu , Yuan Ling , Xiaohua Hu

Matrix-variate Gaussian graphical models (GGM) have been widely used for modeling matrix-variate data. Since the support of sparse precision matrix represents the conditional independence graph among matrix entries, conducting support…

统计方法学 · 统计学 2017-09-01 Xi Chen , Weidong Liu

Neighborhood selection is a widely used method used for estimating the support set of sparse precision matrices, which helps determine the conditional dependence structure in undirected graphical models. However, reporting only point…

统计方法学 · 统计学 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

We introduce the nested stochastic block model (NSBM) to cluster a collection of networks while simultaneously detecting communities within each network. NSBM has several appealing features including the ability to work on unlabeled…

统计方法学 · 统计学 2025-03-17 Nathaniel Josephs , Arash A. Amini , Marina Paez , Lizhen Lin

Graph neural networks (GNNs) are prominent for their effectiveness in processing graph data for semi-supervised node classification tasks. Most works of GNNs assume that the observed structure accurately represents the underlying node…

机器学习 · 计算机科学 2024-11-08 Shuangjie Li , Jiangqing Song , Baoming Zhang , Gaoli Ruan , Junyuan Xie , Chongjun Wang

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

机器学习 · 统计学 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

Graphical models are ubiquitous tools to describe the interdependence between variables measured simultaneously such as large-scale gene or protein expression data. Gaussian graphical models (GGMs) are well-established tools for…

统计方法学 · 统计学 2020-01-09 Nilabja Guha , Veera Baladandayuthapani , Bani K. Mallick

In recent literature, the Gaussian Graphical model (GGM; Lauritzen, 1996),a network of partial correlation coefficients, has been used to capture potential dynamic relationships between observed variables. The GGM can be estimated using…

统计方法学 · 统计学 2017-09-25 Sacha Epskamp

The Collective Graphical Model (CGM) models a population of independent and identically distributed individuals when only collective statistics (i.e., counts of individuals) are observed. Exact inference in CGMs is intractable, and previous…

机器学习 · 计算机科学 2014-05-21 Li-Ping Liu , Daniel Sheldon , Thomas G. Dietterich

The rapid development of high-throughput technologies has enabled the generation of data from biological or disease processes that span multiple layers, like genomic, proteomic or metabolomic data, and further pertain to multiple sources,…

机器学习 · 统计学 2022-01-25 Subhabrata Majumdar , George Michailidis