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We consider the problem of learning a high-dimensional graphical model in which certain hub nodes are highly-connected to many other nodes. Many authors have studied the use of an l1 penalty in order to learn a sparse graph in…

Machine Learning · Statistics 2014-08-12 Kean Ming Tan , Palma London , Karthik Mohan , Su-In Lee , Maryam Fazel , Daniela Witten

Deep learning is a hierarchical inference method formed by subsequent multiple layers of learning able to more efficiently describe complex relationships. In this work, Deep Gaussian Mixture Models are introduced and discussed. A Deep…

Machine Learning · Statistics 2017-11-21 Cinzia Viroli , Geoffrey J. McLachlan

Functional graphical models explore dependence relationships of random processes. This is achieved through estimating the precision matrix of the coefficients from the Karhunen-Loeve expansion. This paper deals with the problem of…

Methodology · Statistics 2021-10-14 Ilias Moysidis , Bing Li

Memory units have been widely used to enrich the capabilities of deep networks on capturing long-term dependencies in reasoning and prediction tasks, but little investigation exists on deep generative models (DGMs) which are good at…

Machine Learning · Computer Science 2016-05-31 Chongxuan Li , Jun Zhu , Bo Zhang

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

Applications · Statistics 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

In many areas of science and engineering, discovering the governing differential equations from the noisy experimental data is an essential challenge. It is also a critical step in understanding the physical phenomena and prediction of the…

Methodology · Statistics 2026-05-12 Jiuhai Chen , Lulu Kang , Guang Lin

We consider estimation of undirected Gaussian graphical models and inverse covariances in high-dimensional scenarios by penalizing the corresponding precision matrix. While single $L_1$ (Graphical Lasso) and $L_2$ (Graphical Ridge)…

Methodology · Statistics 2021-01-07 Solt Kovács , Tobias Ruckstuhl , Helena Obrist , Peter Bühlmann

Distribution learning focuses on learning the probability density function from a set of data samples. In contrast, clustering aims to group similar objects together in an unsupervised manner. Usually, these two tasks are considered…

Machine Learning · Computer Science 2023-08-31 Guanfang Dong , Chenqiu Zhao , Anup Basu

This paper introduces a discriminator-free adversarial-based approach termed DDA-MLIC for Unsupervised Domain Adaptation (UDA) in the context of Multi-Label Image Classification (MLIC). While recent efforts have explored adversarial-based…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Inder Pal Singh , Enjie Ghorbel , Anis Kacem , Djamila Aouada

Passive radar systems can detect and track the moving targets of interest by exploiting non-cooperative illuminators-of-opportunity to transmit orthogonal frequency division multiplexing (OFDM) signals. These targets are searched using a…

Optimization and Control · Mathematics 2023-02-21 Mengjiao Shi , Yunhai Xiao , Peili Li

Learning low-dimensional representations of single-cell transcriptomics has become instrumental to its downstream analysis. The state of the art is currently represented by neural network models such as variational autoencoders (VAEs) which…

Machine Learning · Computer Science 2024-02-01 Viktoria Schuster , Anders Krogh

This paper considers the problem of identifying multivariate autoregressive (AR) sparse plus low-rank graphical models. Based on the corresponding problem formulation recently presented, we use the alternating direction method of…

Machine Learning · Computer Science 2015-03-31 Raphaël Liégeois , Bamdev Mishra , Mattia Zorzi , Rodolphe Sepulchre

The graph classification problem has been widely studied; however, achieving an interpretable model with high predictive performance remains a challenging issue. This paper proposes an interpretable classification algorithm for attributed…

Machine Learning · Computer Science 2024-02-13 Tajima Shinji , Ren Sugihara , Ryota Kitahara , Masayuki Karasuyama

Graphical models have exhibited their performance in numerous tasks ranging from biological analysis to recommender systems. However, graphical models with hub nodes are computationally difficult to fit, particularly when the dimension of…

Optimization and Control · Mathematics 2025-05-05 Chengjing Wang , Peipei Tang , Wenling He , Meixia Lin

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

This paper considers the recovery of group sparse signals over a multi-agent network, where the measurements are subject to sparse errors. We first investigate the robust group LASSO model and its centralized algorithm based on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-12 Manxi Wang , Yongcheng Li , Xiaohan Wei , Qing Ling

Learning representations of multimodal data that are both informative and robust to missing modalities at test time remains a challenging problem due to the inherent heterogeneity of data obtained from different channels. To address it, we…

Machine Learning · Computer Science 2022-11-21 Petra Poklukar , Miguel Vasco , Hang Yin , Francisco S. Melo , Ana Paiva , Danica Kragic

Deep learning methods have access to be employed for solving physical systems governed by parametric partial differential equations (PDEs) due to massive scientific data. It has been refined to operator learning that focuses on learning…

Machine Learning · Computer Science 2024-03-06 Chu Wang , Jinhong Wu , Yanzhi Wang , Zhijian Zha , Qi Zhou

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…

Machine Learning · Computer Science 2019-06-11 Sinong Geng , Minhao Yan , Mladen Kolar , Oluwasanmi Koyejo

This paper studies the decentralized learning of tree-structured Gaussian graphical models (GGMs) from noisy data. In decentralized learning, data set is distributed across different machines (sensors), and GGMs are widely used to model…

Machine Learning · Computer Science 2021-09-23 Akram Hussain
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