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We present a theoretical framework for analyzing spatial sampling of fields in three-dimensional space. The framework bridges Shannon's sampling and information theory to Bayesian probabilistic inference and experimental design. Based on…

This paper introduces a new sparse spatio-temporal structured Gaussian process regression framework for online and offline Bayesian inference. This is the first framework that gives a time-evolving representation of the interdependencies…

Machine Learning · Statistics 2018-08-01 Danil Kuzin , Olga Isupova , Lyudmila Mihaylova

In this work, a Bayesian approximate message passing algorithm is proposed for solving the multiple measurement vector (MMV) problem in compressive sensing, in which a collection of sparse signal vectors that share a common support are…

Information Theory · Computer Science 2013-01-29 Justin Ziniel , Philip Schniter

Promising results have been achieved in image classification problems by exploiting the discriminative power of sparse representations for classification (SRC). Recently, it has been shown that the use of \emph{class-specific}…

Computer Vision and Pattern Recognition · Computer Science 2015-02-02 Hojjat Seyed Mousavi , Umamahesh Srinivas , Vishal Monga , Yuanming Suo , Minh Dao , Trac. D. Tran

We propose a novel sparsity model for distributed compressed sensing in the multiple measurement vectors (MMV) setting. Our model extends the concept of row-sparsity to allow more general types of structured sparsity arising in a variety of…

Numerical Analysis · Mathematics 2022-01-03 Florian Boßmann , Sara Krause-Solberg , Johannes Maly , Nada Sissouno

Various studies that address the compressed sensing problem with Multiple Measurement Vectors (MMVs) have been recently carried. These studies assume the vectors of the different channels to be jointly sparse. In this paper, we relax this…

Machine Learning · Computer Science 2016-11-14 Hamid Palangi , Rabab Ward , Li Deng

Spatiotemporal systems are common in the real-world. Forecasting the multi-step future of these spatiotemporal systems based on the past observations, or, Spatiotemporal Sequence Forecasting (STSF), is a significant and challenging problem.…

Machine Learning · Computer Science 2018-08-22 Xingjian Shi , Dit-Yan Yeung

Electrocardiograms (ECG) are widely employed as a diagnostic tool for monitoring electrical signals originating from a heart. Recent machine learning research efforts have focused on the application of screening various diseases using ECG…

Signal Processing · Electrical Eng. & Systems 2024-03-20 Yeongyeon Na , Minje Park , Yunwon Tae , Sunghoon Joo

This report introduces a new hierarchical Bayesian model for the EEG source localization problem. This model promotes structured sparsity to search for focal brain activity. This sparsity is obtained via a multivariate Bernoulli Laplacian…

Methodology · Statistics 2015-09-16 Facundo Costa , Hadj Batatia , Thomas Oberlin , Jean-Yves Tourneret

A Magnetoencephalography (MEG) time-series recording consists of multi-channel signals collected by superconducting sensors, with each signal's intensity reflecting magnetic field changes over time at the sensor location. Automating…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Hanyang Dong , Shurong Sheng , Xiongfei Wang , Jiahong Gao , Yi Sun , Wanli Yang , Kuntao Xiao , Pengfei Teng , Guoming Luan , Zhao Lv

In recent years a number of methods have been developed for automatically learning the (sparse) connectivity structure of Markov Random Fields. These methods are mostly based on L1-regularized optimization which has a number of…

Machine Learning · Statistics 2012-06-26 Yutian Chen , Max Welling

Traffic forecasting is a complex multivariate time-series regression task of paramount importance for traffic management and planning. However, existing approaches often struggle to model complex multi-range dependencies using local…

Machine Learning · Computer Science 2023-11-07 Dongcheng Zou , Senzhang Wang , Xuefeng Li , Hao Peng , Yuandong Wang , Chunyang Liu , Kehua Sheng , Bo Zhang

The beam squint effect, which manifests in different steering matrices in different sub-bands, has been widely considered a challenge in millimeter wave (mmWave) multiinput multi-output (MIMO) channel estimation. Existing methods either…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Le Xu , Lei Cheng , Ngai Wong , Yik-Chung Wu , H. Vincent Poor

The generalized extreme value (GEV) distribution is a popular model for analyzing and forecasting extreme weather data. To increase prediction accuracy, spatial information is often pooled via a latent Gaussian process (GP) on the GEV…

Methodology · Statistics 2024-05-20 Meixi Chen , Reza Ramezan , Martin Lysy

This paper develops a new empirical Bayesian inference algorithm for solving a linear inverse problem given multiple measurement vectors (MMV) of under-sampled and noisy observable data. Specifically, by exploiting the joint sparsity across…

Numerical Analysis · Mathematics 2021-03-30 Jiahui Zhang , Anne Gelb , Theresa Scarnati

Magnetoencephalography and electroencephalography (M/EEG) are non-invasive modalities that measure the weak electromagnetic fields generated by neural activity. Estimating the location and magnitude of the current sources that generated…

Machine Learning · Statistics 2019-10-16 Hicham Janati , Thomas Bazeille , Bertrand Thirion , Marco Cuturi , Alexandre Gramfort

Spatio-temporal forecasting is an open research field whose interest is growing exponentially. In this work we focus on creating a complex deep neural framework for spatio-temporal traffic forecasting with comparatively very good…

Machine Learning · Computer Science 2020-10-22 Rodrigo de Medrano , José L. Aznarte

We develop a method to carry out MAP estimation for a class of Bayesian regression models in which coefficients are assigned with Gaussian-based spike and slab priors. The objective function in the corresponding optimization problem has a…

Methodology · Statistics 2012-11-26 Tso-Jung Yen

We propose a general framework using spike-and-slab prior distributions to aid with the development of high-dimensional Bayesian inference. Our framework allows inference with a general quasi-likelihood function. We show that highly…

Statistics Theory · Mathematics 2019-08-21 Yves Atchade , Anwesha Bhattacharyya

Variational Bayes (VB) is a popular scalable alternative to Markov chain Monte Carlo for Bayesian inference. We study a mean-field spike and slab VB approximation of widely used Bayesian model selection priors in sparse high-dimensional…

Machine Learning · Statistics 2021-09-07 Kolyan Ray , Botond Szabo , Gabriel Clara