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Dynamic graphs are extensively employed for detecting anomalous behavior in nodes within the Internet of Things (IoT). Graph generative models are often used to address the issue of imbalanced node categories in dynamic graphs.…

机器人学 · 计算机科学 2024-12-13 Munan Li , Xianshi Su , Runze Ma , Tongbang Jiang , Zijian Li , Tony Q. S. Quek

A major limitation of machine learning (ML) prediction models is that they recover associational, rather than causal, predictive relationships between variables. In high-stakes automation applications of ML this is problematic, as the model…

机器学习 · 计算机科学 2025-11-04 Jianqiao Mao , Max A. Little

The mean-field theory for two-layer neural networks considers infinitely wide networks that are linearly parameterized by a probability measure over the parameter space. This nonparametric perspective has significantly advanced both the…

机器学习 · 计算机科学 2025-08-08 Sinho Chewi , Philippe Rigollet , Yuling Yan

This study introduces a mediation analysis framework when the mediator is a graph. A Gaussian covariance graph model is assumed for graph representation. Causal estimands and assumptions are discussed under this representation. With a…

统计方法学 · 统计学 2023-07-11 Yixi Xu , Yi Zhao

In most domains of network analysis researchers consider networks that arise in nature with weighted edges. Such networks are routinely dichotomized in the interest of using available methods for statistical inference with networks. The…

统计方法学 · 统计学 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

Gaussian mixture models (GMMs) are ubiquitous in statistical learning, particularly for unsupervised problems. While full GMMs suffer from the overparameterization of their covariance matrices in high-dimensional spaces, spherical GMMs…

机器学习 · 统计学 2025-11-10 Tom Szwagier , Pierre-Alexandre Mattei , Charles Bouveyron , Xavier Pennec

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

机器学习 · 统计学 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

Predicting interactions between structured entities lies at the core of numerous tasks such as drug regimen and new material design. In recent years, graph neural networks have become attractive. They represent structured entities as graphs…

机器学习 · 计算机科学 2020-04-21 Nuo Xu , Pinghui Wang , Long Chen , Jing Tao , Junzhou Zhao

Graphical Markov models combine conditional independence constraints with graphical representations of stepwise data generating processes.The models started to be formulated about 40 years ago and vigorous development is ongoing.…

统计方法学 · 统计学 2015-10-12 Nanny Wermuth

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

机器学习 · 统计学 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

Consider a social network where only a few nodes (agents) have meaningful interactions in the sense that the conditional dependency graph over node attribute variables (behaviors) is sparse. A company that can only observe the interactions…

机器学习 · 计算机科学 2017-11-16 Tianpei Xie , Sijia Liu , Alfred O. Hero

Teaching Graph Neural Networks (GNNs) to accurately classify nodes under severely noisy labels is an important problem in real-world graph learning applications, but is currently underexplored. Although pairwise training methods have…

机器学习 · 计算机科学 2023-06-06 Xuefeng Du , Tian Bian , Yu Rong , Bo Han , Tongliang Liu , Tingyang Xu , Wenbing Huang , Yixuan Li , Junzhou Huang

Brain networks has attracted the interests of many neuroscientists. From functional MRI (fMRI) data, statistical tools have been developed to recover brain networks. However, the dimensionality of whole-brain fMRI, usually in hundreds of…

统计方法学 · 统计学 2014-04-08 Xi Luo

High dimensional Gaussian graphical models provide a rigorous framework to describe a network of statistical dependencies between entities, such as genes in genomic regulation studies or species in ecology. Penalized methods, including the…

统计方法学 · 统计学 2025-09-04 Jeanne Tous , Julien Chiquet

Testing a covariance matrix following a Gaussian graphical model (GGM) is considered in this paper based on observations made at a set of distributed sensors grouped into clusters. Ordered transmissions are proposed to achieve the same…

信号处理 · 电气工程与系统科学 2019-10-23 Yicheng Chen , Rick S. Blum , Brian M. Sadler , Jiangfan Zhang

A wide range of models have been proposed for Graph Generative Models, necessitating effective methods to evaluate their quality. So far, most techniques use either traditional metrics based on subgraph counting, or the representations of…

机器学习 · 统计学 2022-06-14 Hamed Shirzad , Kaveh Hassani , Danica J. Sutherland

In many applications, multivariate samples may harbor previously unrecognized heterogeneity at the level of conditional independence or network structure. For example, in cancer biology, disease subtypes may differ with respect to…

机器学习 · 统计学 2013-01-11 Steven M. Hill , Sach Mukherjee

Motivation: Networks underlie the generation and interpretation of many biological datasets: gene networks shed light on the regulatory structure of the genome, and cell networks can capture structure of the tumor micro-environment.…

机器学习 · 统计学 2026-03-18 Bailey Andrew , Erica L. Harris , James A. Poulter , David R. Westhead , Luisa Cutillo

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…

统计方法学 · 统计学 2024-03-15 Xiaoyue Xi , Hélène Ruffieux

We propose a semi-partitioned Generalized Method of Moments (GMM) framework for analyzing longitudinal data with time-dependent covariates, within a marginal modeling paradigm. This approach addresses limitations of both aggregated and…

统计方法学 · 统计学 2026-03-04 Niloofar Ramezani , Jeffrey R. Wilson