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In this work, the uplink channel estimation problem is considered for a millimeter wave (mmWave) multi-input multi-output (MIMO) system. It is well known that pilot overhead and computation complexity in estimating the channel increases…

Information Theory · Computer Science 2023-02-07 Rakesh Mundlamuri , Rajeev Gangula , Christo Kurisummoottil Thomas , Florian Kaltenberger , Walid Saad

In sensing applications, sensors cannot always measure the latent quantity of interest at the required resolution, sometimes they can only acquire a blurred version of it due the sensor's transfer function. To recover latent signals when…

Machine Learning · Statistics 2017-07-20 Felipe Tobar , Gonzalo Rios , Tomás Valdivia , Pablo Guerrero

Accurate channel state information (CSI) is critical for current and next-generation multi-antenna systems. Yet conventional pilot-based estimators incur prohibitive overhead as antenna counts grow. In this paper, we address this challenge…

Signal Processing · Electrical Eng. & Systems 2026-01-05 Syed Luqman Shah , Nurul Huda Mahmood , Italo Atzeni

The problem of super-resolution compressive sensing (SR-CS) is crucial for various wireless sensing and communication applications. Existing methods often suffer from limited resolution capabilities and sensitivity to hyper-parameters,…

Signal Processing · Electrical Eng. & Systems 2025-08-12 Yufan Zhou , Jingyi Li , Wenkang Xu , An Liu

Many signal processing applications require estimation of time-varying sparse signals, potentially with the knowledge of an imperfect dynamics model. In this paper, we propose an algorithm for dynamic filtering of time-varying sparse…

Signal Processing · Electrical Eng. & Systems 2020-01-01 Matthew R. O'Shaughnessy , Mark A. Davenport , Christopher J. Rozell

This paper presents a sparse Bayesian learning (SBL) algorithm for linear inverse problems with a high order total variation (HOTV) sparsity prior. For the problem of sparse signal recovery, SBL often produces more accurate estimates than…

Signal Processing · Electrical Eng. & Systems 2020-07-20 Victor Churchill , Anne Gelb

This work addresses the challenge of making generative models suitable for resource-constrained environments like mobile wireless communication systems. We propose a generative model that integrates Autoregressive (AR) parameterization into…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Kathrin Klein , Benedikt Böck , Nurettin Turan , Wolfgang Utschick

The acquisition of accurate channel state information (CSI) is of utmost importance since it provides performance improvement of wireless communication systems. However, acquiring accurate CSI, which can be done through channel estimation…

Information Theory · Computer Science 2023-06-01 Pedro E. G. Silva , Jules M. Moualeu , Pedro H. Nardelli , Rausley A. A. de Souza

Sparse Bayesian learning (SBL) has emerged as a fast and competitive method to perform sparse processing. The SBL algorithm, which is developed using a Bayesian framework, approximately solves a non-convex optimization problem using fixed…

Accurate yet low-latency channel state information (CSI) acquisition is essential for multiple-input multiple-output (MIMO) communication systems. While advanced deep generative models, such as score-based and diffusion models, enable…

Information Theory · Computer Science 2026-04-27 Junjie Zhao , Guangming Liang , Dongzhu Liu , Xiaonan Liu

Semi-supervised learning is being extensively applied to estimate classifiers from training data in which not all the labels of the feature vectors are available. We present gmmsslm, an R package for estimating the Bayes' classifier from…

Computation · Statistics 2024-04-18 Ziyang Lyu , Daniel Ahfock , Ryan Thompson , Geoffrey J. McLachlan

Functional brain networks are well described and estimated from data with Gaussian Graphical Models (GGMs), e.g. using sparse inverse covariance estimators. Comparing functional connectivity of subjects in two populations calls for…

Machine Learning · Statistics 2016-11-21 Eugene Belilovsky , Gaël Varoquaux , Matthew B. Blaschko

This paper studies the sample complexity of learning the $k$ unknown centers of a balanced Gaussian mixture model (GMM) in $\mathbb{R}^d$ with spherical covariance matrix $\sigma^2\mathbf{I}$. In particular, we are interested in the…

Information Theory · Computer Science 2022-06-15 Elad Romanov , Tamir Bendory , Or Ordentlich

We study the sparse recovery problem with an underdetermined linear system characterized by a Kronecker-structured dictionary and a Kronecker-supported sparse vector. We cast this problem into the sparse Bayesian learning (SBL) framework…

Signal Processing · Electrical Eng. & Systems 2023-08-03 Yanbin He , Geethu Joseph

We introduce the spiked mixture model (SMM) to address the problem of estimating a set of signals from many randomly scaled and noisy observations. Subsequently, we design a novel expectation-maximization (EM) algorithm to recover all…

Machine Learning · Statistics 2026-01-26 Paul-Louis Delacour , Sander Wahls , Jeffrey M. Spraggins , Lukasz Migas , Raf Van de Plas

We propose a hybrid method for accurately estimating the score function, i.e., the gradient of the log steady-state density, using a Gaussian Mixture Model (GMM) in conjunction with a bisecting K-means clustering step. Our approach, which…

Chaotic Dynamics · Physics 2025-10-31 Ludovico T. Giorgini , Tobias Bischoff , Andre N. Souza

Ultra-wideband (UWB) time difference of arrival(TDOA)-based localization has emerged as a low-cost and scalable indoor positioning solution. However, in cluttered environments, the performance of UWB TDOA-based localization deteriorates due…

Robotics · Computer Science 2023-08-01 Wenda Zhao , Abhishek Goudar , Mingliang Tang , Xinyuan Qiao , Angela P. Schoellig

We investigate a Gaussian mixture model (GMM) with component means constrained in a pre-selected subspace. Applications to classification and clustering are explored. An EM-type estimation algorithm is derived. We prove that the subspace…

Machine Learning · Statistics 2015-08-27 Mu Qiao , Jia Li

Probabilistic Coalition Structure Generation (PCSG) is NP-hard and can be recast as an $l_0$-type sparse recovery problem by representing coalition structures as sparse coefficient vectors over a coalition-incidence design. A natural…

Computer Science and Game Theory · Computer Science 2026-01-12 Angshul Majumdar

Gaussian mixture models (GMM) are powerful parametric tools with many applications in machine learning and computer vision. Expectation maximization (EM) is the most popular algorithm for estimating the GMM parameters. However, EM…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Soheil Kolouri , Gustavo K. Rohde , Heiko Hoffmann