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Gaussian Graphical Models provide a convenient framework for representing dependencies between variables. Recently, this tool has received a high interest for the discovery of biological networks. The literature focuses on the case where a…

统计方法学 · 统计学 2010-05-13 Julien Chiquet , Yves Grandvalet , Christophe Ambroise

Gaussian Graphical Models (GGMs) are widely used in high-dimensional data analysis to synthesize the interaction between variables. In many applications, such as genomics or image analysis, graphical models rely on sparsity and clustering…

机器学习 · 统计学 2026-03-25 Do Edmond Sanou , Christophe Ambroise , Geneviève Robin

This paper aims at distributed multi-agent convex optimization where the communications network among the agents are presented by a random sequence of possibly state-dependent weighted graphs. This is the first work to consider both random…

系统与控制 · 电气工程与系统科学 2024-12-31 Seyyed Shaho Alaviani , Atul Kelkar

Sparse Gaussian graphical models characterize sparse dependence relationships between random variables in a network. To estimate multiple related Gaussian graphical models on the same set of variables, we formulate a hierarchical model,…

统计方法学 · 统计学 2014-06-10 Yuancheng Zhu , Rina Foygel Barber

We formulate a new problem at the intersectionof semi-supervised learning and contextual bandits,motivated by several applications including clini-cal trials and ad recommendations. We demonstratehow Graph Convolutional Network (GCN), a…

机器学习 · 计算机科学 2020-10-26 Sohini Upadhyay , Mikhail Yurochkin , Mayank Agarwal , Yasaman Khazaeni , DjallelBouneffouf

Network topology inference is a fundamental problem in many applications of network science, such as locating the source of fake news, brain connectivity networks detection, etc. Many real-world situations suffer from a critical problem…

应用统计 · 统计学 2022-06-22 Yupeng Chen , Zhiguo Wang , Xiaojing Shen

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

最优化与控制 · 数学 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Multi-pedestrian trajectory prediction is an indispensable element of autonomous systems that safely interact with crowds in unstructured environments. Many recent efforts in trajectory prediction algorithms have focused on understanding…

机器人学 · 计算机科学 2022-02-04 Zhe Huang , Ruohua Li , Kazuki Shin , Katherine Driggs-Campbell

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

机器学习 · 统计学 2018-07-03 Jonathan Mei , José M. F. Moura

We propose a partially linear additive Gaussian graphical model (PLA-GGM) for the estimation of associations between random variables distorted by observed confounders. Model parameters are estimated using an $L_1$-regularized maximal…

机器学习 · 计算机科学 2019-06-11 Sinong Geng , Minhao Yan , Mladen Kolar , Oluwasanmi Koyejo

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

机器学习 · 统计学 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

The nodes of a graph existing in a cluster are more likely to connect to each other than with other nodes in the graph. Then revealing some information about some nodes, the structure of the graph (graph edges) provides this opportunity to…

机器学习 · 计算机科学 2020-11-17 Mohammad Esmaeili , Aria Nosratinia

We propose a data-efficient Gaussian process-based Bayesian approach to the semi-supervised learning problem on graphs. The proposed model shows extremely competitive performance when compared to the state-of-the-art graph neural networks…

机器学习 · 计算机科学 2018-10-15 Yin Cheng Ng , Nicolo Colombo , Ricardo Silva

Graph signal processing (GSP) provides a powerful framework for analyzing signals arising in a variety of domains. In many applications of GSP, multiple network structures are available, each of which captures different aspects of the same…

机器学习 · 统计学 2021-11-03 Michael Weylandt , George Michailidis , T. Mitchell Roddenberry

This paper studies a particular sensor network model which involves one single Gaussian source observed by many sensors, subject to additive independent Gaussian observation noise. Sensors communicate with the receiver over an additive…

信息论 · 计算机科学 2013-05-20 Emrah Akyol , Kenneth Rose , Tamer Basar

This paper addresses the problem of learning an undirected graph from data gathered at each nodes. Within the graph signal processing framework, the topology of such graph can be linked to the support of the conditional correlation matrix…

机器学习 · 计算机科学 2025-06-13 Thu Ha Phi , Alexandre Hippert-Ferrer , Florent Bouchard , Arnaud Breloy

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

统计方法学 · 统计学 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

We study the problem of missing data imputation for graph signals from signed one-bit quantized observations. More precisely, we consider that the true graph data is drawn from a distribution of signals that are smooth or bandlimited on a…

信号处理 · 电气工程与系统科学 2019-11-21 Amarlingam Madapu , Santiago Segarra , Sundeep Prabhakar Chepuri , Antonio G. Marques

We propose a Bayesian approximate inference method for learning the dependence structure of a Gaussian graphical model. Using pseudo-likelihood, we derive an analytical expression to approximate the marginal likelihood for an arbitrary…

机器学习 · 统计学 2017-04-13 Janne Leppä-aho , Johan Pensar , Teemu Roos , Jukka Corander

Probabilistic graphical models (PGMs) are powerful tools for representing statistical dependencies through graphs in high-dimensional systems. However, they are limited to pairwise interactions. In this work, we propose the simplicial…

机器学习 · 统计学 2025-10-16 Lorenzo Marinucci , Gabriele D'Acunto , Paolo Di Lorenzo , Sergio Barbarossa