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Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

In this paper, we develop a new technique to obtain nearly optimal estimates of the computational resolution limits introduced in Appl. Comput. Harmon. Anal. 56 (2022) 402-446; IEEE Trans. Inf. Theory 67(7) (2021) 4812-4827; Inverse Probl.…

Image and Video Processing · Electrical Eng. & Systems 2022-05-17 Ping Liu , Habib Ammari

Radio channels are typically sparse in the delay domain, and ideal for compressed sensing. A new compressed sensing algorithm called eX-OMP is developed that yields performance similar to that of the optimal MMSE estimator. The new…

Information Theory · Computer Science 2016-12-23 Jonathan Ling , Dmitry Chizhik , A. Tulino , Inaki Esnaola

In this paper, we introduce a Homogeneous Second-Order Descent Method (HSODM) using the homogenized quadratic approximation to the original function. The merit of homogenization is that only the leftmost eigenvector of a gradient-Hessian…

Optimization and Control · Mathematics 2025-04-08 Chuwen Zhang , Dongdong Ge , Chang He , Bo Jiang , Yuntian Jiang , Chenyu Xue , Yinyu Ye

In this paper, we study the optimization problem on a compact matrix manifold. While existing feasible algorithms can be broadly categorized into retraction-based and projection-based methods, compared to the more comprehensive and in-depth…

Optimization and Control · Mathematics 2025-11-21 Wentao Ding , Jianze Li , Shuzhong Zhang

Compressive sensing (CS) is a sampling technique designed for reducing the complexity of sparse data acquisition. One of the major obstacles for practical deployment of CS techniques is the signal reconstruction time and the high storage…

Information Theory · Computer Science 2011-07-12 Wei Dai , Olgica Milenkovic , Hoa Vin Pham

A major enterprise in compressed sensing and sparse approximation is the design and analysis of computationally tractable algorithms for recovering sparse, exact or approximate, solutions of underdetermined linear systems of equations. Many…

Information Theory · Computer Science 2010-04-13 Jeffrey D. Blanchard , Coralia Cartis , Jared Tanner , Andrew Thompson

Sequential Compressive Sensing, which may be widely used in sensing devices, is a popular topic of recent research. This paper proposes an online recovery algorithm for sparse approximation of sequential compressive sensing. Several…

Information Theory · Computer Science 2013-03-12 Yang You , Jian Jin , Wei Duan , Ningning Liu , Yuantao Gu , Jian Yang

Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix.…

Information Theory · Computer Science 2013-10-03 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

This paper proposes and analyzes a mmWave sparse channel estimation technique for OFDM systems that uses the Orthogonal Matching Pursuit (OMP) algorithm. This greedy algorithm retrieves one additional multipath component (MPC) per iteration…

Information Theory · Computer Science 2018-12-19 Felipe Gomez-Cuba , Andrea J. Goldsmith

This paper aims at achieving a "good" estimator for the gradient of a function on a high-dimensional space. Often such functions are not sensitive in all coordinates and the gradient of the function is almost sparse. We propose a method for…

Machine Learning · Statistics 2016-07-27 Vivek S. Borkar , Vikranth R. Dwaracherla , Neeraja Sahasrabudhe

This paper presents a novel method for estimating the direction of arrival (DOA) for a non-uniform and sparse linear sensor array using the weighted lifted structure low-rank matrix completion. The proposed method uses a single snapshot…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Saeed Razavikia , Mohammad Bokaei , Arash Amini , Stefano Rini , Carlo Fischione

Feature matching is a fundamental and crucial process in visual SLAM, and precision has always been a challenging issue in feature matching. In this paper, based on a multi-level fine matching strategy, we propose a new feature matching…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Shaojie Zhang , Yinghui Wang , Jiaxing Ma , Wei Li , Jinlong Yang , Tao Yan , Yukai Wang , Liangyi Huang , Mingfeng Wang , Ibragim R. Atadjanov

A reliable support detection is essential for a greedy algorithm to reconstruct a sparse signal accurately from compressed and noisy measurements. This paper proposes a novel support detection method for greedy algorithms, which is referred…

Information Theory · Computer Science 2016-08-24 Namyoon Lee

This work develops novel strategies for optimal planning with semantic observations using continuous state partially observable markov decision processes (CPOMDPs). Two major innovations are presented in relation to Gaussian mixture (GM)…

Artificial Intelligence · Computer Science 2019-08-09 Luke Burks , Ian Loefgren , Nisar Ahmed

In order to enhance the performance of image recognition, a sparsity augmented probabilistic collaborative representation based classification (SA-ProCRC) method is presented. The proposed method obtains the dense coefficient through…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Xiao-Yun Cai , He-Feng Yin

The orthogonal multi-matching pursuit (OMMP) is a natural extension of orthogonal matching pursuit (OMP). We denote the OMMP with the parameter $M$ as OMMP(M) where $M\geq 1$ is an integer. The main difference between OMP and OMMP(M) is…

Information Theory · Computer Science 2013-07-18 Zhiqiang Xu

We present a new accelerated gradient-based method for solving smooth unconstrained optimization problems. The goal is to embed a heavy-ball type of momentum into the Fast Gradient Method (FGM). For this purpose, we devise a generalization…

Optimization and Control · Mathematics 2021-11-02 Endrit Dosti , Sergiy A. Vorobyov , Themistoklis Charalambous

Projected Gradient Descent (PGD) methods offer a simple and scalable approach to topology optimization (TO), yet they often struggle with nonlinear and multi-constraint problems due to the complexity of active-set detection. This paper…

Computational Engineering, Finance, and Science · Computer Science 2025-11-19 Amin Heyrani Nobari , Faez Ahmed

We introduce a recursive algorithm for performing compressed sensing on streaming data. The approach consists of a) recursive encoding, where we sample the input stream via overlapping windowing and make use of the previous measurement in…

Machine Learning · Statistics 2013-12-18 Nikolaos M. Freris , Orhan Öçal , Martin Vetterli