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We consider compressed sensing of block-sparse signals, i.e., sparse signals that have nonzero coefficients occuring in clusters. Based on an uncertainty relation for block-sparse signals, we define a block-coherence measure and we show…

Information Theory · Computer Science 2008-12-02 Yonina C. Eldar , Helmut Bolcskei

Initial ranging constitutes a part of the synchronization procedure employed by the wireless communication standards. This allows the base station (BS) to detect the subscriber stations (SS) that are willing to commence communication. In…

Information Theory · Computer Science 2015-05-25 Md Mashud Hyder , Kaushik Mahata

We propose a general solution to the problem of robust Bayesian inference in complex settings where outliers may be present. In practice, the automation of robust Bayesian analyses is important in the many applications involving large and…

Methodology · Statistics 2022-04-15 Jeremie Houssineau , David J. Nott

Sparse estimation methods capable of tolerating outliers have been broadly investigated in the last decade. We contribute to this research considering high-dimensional regression problems contaminated by multiple mean-shift outliers which…

Methodology · Statistics 2025-10-21 Luca Insolia , Ana Kenney , Francesca Chiaromonte , Giovanni Felici

We consider the problem of phase retrieval, namely, recovery of a signal from the magnitude of its Fourier transform, or of any other linear transform. Due to the loss of the Fourier phase information, this problem is ill-posed. Therefore,…

Information Theory · Computer Science 2023-07-19 Yoav Shechtman , Amir Beck , Yonina C. Eldar

We consider the problem of estimating a variable number of parameters with a dynamic nature. A familiar example is finding the position of moving targets using sensor array observations. The problem is challenging in cases where either the…

Computation · Statistics 2015-04-03 Ashkan Panahi , Mats Viberg

Traditional sampling theories consider the problem of reconstructing an unknown signal $x$ from a series of samples. A prevalent assumption which often guarantees recovery from the given measurements is that $x$ lies in a known subspace.…

Cellular Automata and Lattice Gases · Physics 2009-03-30 Yonina C. Eldar , Moshe Mishali

This paper considers a joint scattering environment sensing and data recovery problem in an uplink integrated sensing and communication (ISAC) system. To facilitate joint scatterers localization and multi-user (MU) channel estimation, we…

Signal Processing · Electrical Eng. & Systems 2025-02-11 An Liu , Wenkang Xu , Wei Xu , Giuseppe Caire

We address the sparse signal recovery problem in the context of multiple measurement vectors (MMV) when elements in each nonzero row of the solution matrix are temporally correlated. Existing algorithms do not consider such temporal…

Machine Learning · Statistics 2011-08-18 Zhilin Zhang , Bhaskar D. Rao

Sparse modeling is one of the efficient techniques for imaging that allows recovering lost information. In this paper, we present a novel iterative phase-retrieval algorithm using a sparse representation of the object amplitude and phase.…

Computer Vision and Pattern Recognition · Computer Science 2011-08-17 Artem Migukin , Vladimir Katkovnik , Jaakko Astola

Outlier detection and cluster number estimation is an important issue for clustering real data. This paper focuses on spectral clustering, a time-tested clustering method, and reveals its important properties related to outliers. The…

Computer Vision and Pattern Recognition · Computer Science 2017-03-06 Takuro Ina , Atsushi Hashimoto , Masaaki Iiyama , Hidekazu Kasahara , Mikihiko Mori , Michihiko Minoh

This letter proposes a block sparse Bayesian learning (BSBL) algorithm of non-circular (NC) signals for direction-of-arrival (DOA) estimation, which is suitable for arbitrary unknown NC phases. The block sparse NC signal representation…

Signal Processing · Electrical Eng. & Systems 2026-01-15 Zihan Shen , Jiaqi Li , Xudong Dong , Xiaofei Zhang

This paper presents a novel Block Iterative Bayesian Algorithm (Block-IBA) for reconstructing block-sparse signals with unknown block structures. Unlike the existing algorithms for block sparse signal recovery which assume the cluster…

Machine Learning · Statistics 2014-12-09 Mehdi Korki , Jingxin Zhang , Cishen Zhang , Hadi Zayyani

We consider compressed sensing of block-sparse signals, i.e., sparse signals that have nonzero coefficients occurring in clusters. An uncertainty relation for block-sparse signals is derived, based on a block-coherence measure, which we…

Information Theory · Computer Science 2015-05-13 Yonina C. Eldar , Patrick Kuppinger , Helmut Bölcskei

In this paper, we consider the problem of recovering compressively sensed ultrasound images. We build on prior work, and consider a number of existing approaches that we consider to be the state-of-the-art. The methods we consider take…

Signal Processing · Electrical Eng. & Systems 2018-11-06 Richard Porter , Vladislav Tadic , Alin Achim

This work discusses the problem of sparse signal recovery when there is correlation among the values of non-zero entries. We examine intra-vector correlation in the context of the block sparse model and inter-vector correlation in the…

Information Theory · Computer Science 2012-05-22 Bhaskar D. Rao , Zhilin Zhang , Yuzhe Jin

We study the problem of recovering the underlining sparse signals from clean or noisy phaseless measurements. Due to the sparse prior of signals, we adopt an L0regularized variational model to ensure only a small number of nonzero elements…

Optimization and Control · Mathematics 2016-12-09 Yuping Duan , Chunlin Wu , Zhi-Feng Pang , Huibin Chang

Inference in the presence of outliers is an important field of research as outliers are ubiquitous and may arise across a variety of problems and domains. Bayesian optimization is method that heavily relies on probabilistic inference. This…

Machine Learning · Computer Science 2017-12-14 Ruben Martinez-Cantin , Kevin Tee , Michael McCourt

Change detection involves segmenting sequential data such that observations in the same segment share some desired properties. Multivariate change detection continues to be a challenging problem due to the variety of ways change points can…

Methodology · Statistics 2018-10-16 Wenyu Zhang , Daniel Gilbert , David Matteson

Although block compressive sensing (BCS) makes it tractable to sense large-sized images and video, its recovery performance has yet to be significantly improved because its recovered images or video usually suffer from blurred edges, loss…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Trinh Van Chien , Khanh Quoc Dinh , Byeungwoo Jeon , Martin Burger