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Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

Optimization and Control · Mathematics 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený

Spatio-temporal prediction plays an important role in many application areas especially in traffic domain. However, due to complicated spatio-temporal dependency and high non-linear dynamics in road networks, traffic prediction task is…

Machine Learning · Computer Science 2019-03-05 Bing Yu , Mengzhang Li , Jiyong Zhang , Zhanxing Zhu

Most of the existing algorithms for traffic speed forecasting split spatial features and temporal features to independent modules, and then associate information from both dimensions. However, features from spatial and temporal dimensions…

Social and Information Networks · Computer Science 2020-08-11 Yi Xie , Yun Xiong , Yangyong Zhu

We focus on the problem of estimating the change in the dependency structures of two $p$-dimensional Gaussian Graphical models (GGMs). Previous studies for sparse change estimation in GGMs involve expensive and difficult non-smooth…

Machine Learning · Computer Science 2018-05-24 Beilun Wang , Arshdeep Sekhon , Yanjun Qi

Video self-supervised learning is a challenging task, which requires significant expressive power from the model to leverage rich spatial-temporal knowledge and generate effective supervisory signals from large amounts of unlabeled videos.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Yang Liu , Keze Wang , Lingbo Liu , Haoyuan Lan , Liang Lin

Undirected probabilistic graphical models represent the conditional dependencies, or Markov properties, of a collection of random variables. Knowing the sparsity of such a graphical model is valuable for modeling multivariate distributions…

Machine Learning · Statistics 2023-02-28 Ricardo Baptista , Youssef Marzouk , Rebecca E. Morrison , Olivier Zahm

The chain graph model admits both undirected and directed edges in one graph, where symmetric conditional dependencies are encoded via undirected edges and asymmetric causal relations are encoded via directed edges. Though frequently…

Methodology · Statistics 2024-01-29 Ruixuan Zhao , Haoran Zhang , Junhui Wang

Tensor Gaussian graphical models (GGMs), interpreting conditional independence structures within tensor data, have important applications in numerous areas. Yet, the available tensor data in one single study is often limited due to high…

Machine Learning · Statistics 2022-11-18 Mingyang Ren , Yaoming Zhen , Junhui Wang

Change Detection (CD) enables the identification of alterations between images of the same area captured at different times. However, existing CD methods still struggle to address pseudo changes resulting from domain information differences…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Yi Xiao , Bin Luo , Jun Liu , Xin Su , Wei Wang

Testing for the conditional independence structure in data is a fundamental and critical task in statistics and machine learning, which finds natural applications in causal discovery - a highly relevant problem to many scientific…

Machine Learning · Statistics 2025-03-03 Bao Duong , Nu Hoang , Thin Nguyen

Graphical models have gained a lot of attention recently as a tool for learning and representing dependencies among variables in multivariate data. Often, domain scientists are looking specifically for differences among the dependency…

Machine Learning · Statistics 2013-07-11 Diane Oyen , Alexandru Niculescu-Mizil , Rachel Ostroff , Alex Stewart , Vincent P. Clark

Graphical models use graphs to represent conditional independence structure in the distribution of a random vector. In stochastic processes, graphs may represent so-called local independence or conditional Granger causality. Under some…

Methodology · Statistics 2023-10-24 Søren Wengel Mogensen

Inferring the causal structure underlying stochastic dynamical systems from observational data holds great promise in domains ranging from science and health to finance. Such processes can often be accurately modeled via stochastic…

Machine Learning · Computer Science 2025-03-04 Georg Manten , Cecilia Casolo , Emilio Ferrucci , Søren Wengel Mogensen , Cristopher Salvi , Niki Kilbertus

Dynamic graphs capture evolving interactions between entities, such as in social networks, online learning platforms, and crowdsourcing projects. For dynamic graph modeling, dynamic graph neural networks (DGNNs) have emerged as a mainstream…

Machine Learning · Computer Science 2025-03-04 Xingtong Yu , Zhenghao Liu , Xinming Zhang , Yuan Fang

The Partial Information Decomposition (PID) [arXiv:1004.2515] provides a theoretical framework to characterize and quantify the structure of multivariate information sharing. A new method (Idep) has recently been proposed for computing a…

Statistical Mechanics · Physics 2018-04-03 James W. Kay , Robin A. A. Ince

While graphical models for continuous data (Gaussian graphical models) and discrete data (Ising models) have been extensively studied, there is little work on graphical models linking both continuous and discrete variables (mixed data),…

Machine Learning · Statistics 2016-08-22 Jie Cheng , Tianxi Li , Elizaveta Levina , Ji Zhu

This paper addresses learning of sparse structural changes or differential network between two classes of non-paranormal graphical models. We assume a multi-source and heterogeneous dataset is available for each class, where the covariance…

Machine Learning · Computer Science 2024-10-04 Mojtaba Nikahd , Seyed Abolfazl Motahari

Existing graph contrastive learning methods rely on augmentation techniques based on random perturbations (e.g., randomly adding or dropping edges and nodes). Nevertheless, altering certain edges or nodes can unexpectedly change the graph…

Machine Learning · Computer Science 2022-11-08 Huidong Liang , Xingjian Du , Bilei Zhu , Zejun Ma , Ke Chen , Junbin Gao

Background: Timely, uncertainty-aware forecasting from irregular electronic health records (EHR) can support critical-care decisions, yet most approaches either impute to a grid or sacrifice interpretability. We introduce StructGP, a…

Machine Learning · Computer Science 2026-05-01 Ivan Lerner , Jean Feydy , Alexandre Kalimouttou , Anita Burgun , Francis Bach

Our concern is selecting the concentration matrix's nonzero coefficients for a sparse Gaussian graphical model in a high-dimensional setting. This corresponds to estimating the graph of conditional dependencies between the variables. We…

Methodology · Statistics 2010-04-05 Christophe Ambroise , Julien Chiquet , Catherine Matias