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Clinical adoption of multispectral optoacoustic tomography necessitates improvements of the image quality available in real-time, as well as a reduction in the scanner financial cost. Deep learning approaches have recently unlocked the…

Image and Video Processing · Electrical Eng. & Systems 2024-08-15 Christoph Dehner , Guillaume Zahnd

A novel sparse array synthesis method for non-uniform planar arrays is proposed, which belongs to compressive sensing (CS)-based systhesis. Particularly, we propose an off-grid refinement technique to simultaneously optimize the antenna…

Signal Processing · Electrical Eng. & Systems 2022-07-29 Songjie Yang , Baojuan Liu , Zhiqin Hong , Zhongpei Zhang

Support recovery of sparse signals from noisy measurements with orthogonal matching pursuit (OMP) has been extensively studied in the literature. In this paper, we show that for any $K$-sparse signal $\x$, if the sensing matrix $\A$…

Information Theory · Computer Science 2018-07-13 JInming Wen , Zhengchun Zhou , Jian Wang , Xiaohu Tang , Qun Mo

We introduce a compressive single-pixel imaging (SPI) framework for high-resolution image capture in fractions of a second. This framework combines a dedicated sampling strategy with a tailored reconstruction method to enable high-quality…

Image and Video Processing · Electrical Eng. & Systems 2025-09-03 Anna Pastuszczak , Rafał Stojek , Piotr Wróbel , Magdalena Cwojdzińska , Kacper Sobczak , Rafał Kotyński

Magnetic resonance imaging (MRI) is an essential medical tool with inherently slow data acquisition process. Slow acquisition process requires patient to be long time exposed to scanning apparatus. In recent years significant efforts are…

Computer Vision and Pattern Recognition · Computer Science 2015-03-05 Jelena Badnjar

A well-known analysis of Tropp and Gilbert shows that orthogonal matching pursuit (OMP) can recover a k-sparse n-dimensional real vector from 4 k log(n) noise-free linear measurements obtained through a random Gaussian measurement matrix…

Information Theory · Computer Science 2015-05-28 Alyson K. Fletcher , Sundeep Rangan

This paper proposes two novel schemes of wideband compressive spectrum sensing (CSS) via block orthogonal matching pursuit (BOMP) algorithm, for achieving high sensing accuracy in real time. These schemes aim to reliably recover the…

Signal Processing · Electrical Eng. & Systems 2023-04-14 Liyang Lu , Wenbo Xu , Yue Wang , Zhi Tian

We demonstrate a simple greedy algorithm that can reliably recover a d-dimensional vector v from incomplete and inaccurate measurements x. Here our measurement matrix is an N by d matrix with N much smaller than d. Our algorithm,…

Numerical Analysis · Mathematics 2007-12-11 Deanna Needell , Roman Vershynin

Purpose: Optoacoustic tomography (OAT) is inherently a three-dimensional (3D) inverse problem. However, most studies of OAT image reconstruction still employ two-dimensional (2D) imaging models. One important reason is because 3D image…

Medical Physics · Physics 2013-04-09 Kun Wang , Chao Huang , Yu-Jiun Kao , Cheng-Ying Chou , Alexander A. Oraevsky , Mark A. Anastasio

A sufficient condition reported very recently for perfect recovery of a K-sparse vector via orthogonal matching pursuit (OMP) in K iterations is that the restricted isometry constant of the sensing matrix satisfies…

Information Theory · Computer Science 2014-01-06 Ling-Hua Chang , Jwo-Yuh Wu

Orthogonal Matching Pursuit (OMP) is a simple, yet empirically competitive algorithm for sparse recovery. Recent developments have shown that OMP guarantees exact recovery of K-sparse signals with K or more than K iterations if the…

Information Theory · Computer Science 2013-04-01 Nazim Burak Karahanoglu , Hakan Erdogan

Best-first search has been recently utilized for compressed sensing (CS) by the A* orthogonal matching pursuit (A*OMP) algorithm. In this work, we concentrate on theoretical and empirical analyses of A*OMP. We present a restricted isometry…

Information Theory · Computer Science 2016-11-26 Nazim Burak Karahanoglu , Hakan Erdogan

Custom dataflow Convolutional Neural Network (CNN) inference accelerators on FPGA are tailored to a specific CNN topology and store parameters in On-Chip Memory (OCM), resulting in high energy efficiency and low inference latency. However,…

Hardware Architecture · Computer Science 2020-11-17 Lucian Petrica , Tobias Alonso , Mairin Kroes , Nicholas Fraser , Sorin Cotofana , Michaela Blott

The Orthogonal Matching Pursuit (OMP) for compressed sensing iterates over a scheme of support augmentation and signal estimation. We present two novel matching pursuit algorithms with intrinsic regularization of the signal estimation step…

Information Theory · Computer Science 2019-02-22 Robert Seidel

Iterative image reconstruction algorithms for optoacoustic tomography (OAT), also known as photoacoustic tomography, have the ability to improve image quality over analytic algorithms due to their ability to incorporate accurate models of…

Analysis of PDEs · Mathematics 2015-06-05 Kun wang , Richard Su , Alexander A. Oraevsky , Mark A. Anastasio

Recent work has demonstrated that using a carefully designed sensing matrix rather than a random one, can improve the performance of compressed sensing. In particular, a well-designed sensing matrix can reduce the coherence between the…

Information Theory · Computer Science 2010-09-09 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar

State-of-the-art algorithms for sparse subspace clustering perform spectral clustering on a similarity matrix typically obtained by representing each data point as a sparse combination of other points using either basis pursuit (BP) or…

Machine Learning · Computer Science 2017-11-02 Abolfazl Hashemi , Haris Vikalo

The performance of Orthogonal Matching Pursuit (OMP) for variable selection is analyzed for random designs. When contrasted with the deterministic case, since the performance is here measured after averaging over the distribution of the…

Machine Learning · Statistics 2011-09-06 Antony Joseph

Greedy algorithms for feature selection are widely used for recovering sparse high-dimensional vectors in linear models. In classical procedures, the main emphasis was put on the sample complexity, with little or no consideration of the…

Machine Learning · Statistics 2021-02-11 El Mehdi Saad , Gilles Blanchard , Sylvain Arlot

We study distributed schemes for high-dimensional sparse linear regression, based on orthogonal matching pursuit (OMP). Such schemes are particularly suited for settings where a central fusion center is connected to end machines, that have…

Machine Learning · Statistics 2023-11-01 Chen Amiraz , Robert Krauthgamer , Boaz Nadler