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In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an $H_+$-matrix, we present appropriate criteria for the convergence…

Optimization and Control · Mathematics 2023-05-05 Bharat Kumar , Deepmala , A. K. Das

Low-rank matrices play a fundamental role in modeling and computational methods for signal processing and machine learning. In many applications where low-rank matrices arise, these matrices cannot be fully sampled or directly observed, and…

Information Theory · Computer Science 2016-05-25 Mark A. Davenport , Justin Romberg

We apply a method recently introduced to the statistical literature to directly estimate the precision matrix from an ensemble of samples drawn from a corresponding Gaussian distribution. Motivated by the observation that cosmological…

Instrumentation and Methods for Astrophysics · Physics 2016-05-25 Nikhil Padmanabhan , Martin White , Harrison H. Zhou , Ross O'Connell

We consider designing a robust structured sparse sensing matrix consisting of a sparse matrix with a few non-zero entries per row and a dense base matrix for capturing signals efficiently We design the robust structured sparse sensing…

Signal Processing · Electrical Eng. & Systems 2019-02-06 Tao Hong , Xiao Li , Zhihui Zhu , Qiuwei Li

Stereo matching is crucial for binocular stereo vision. Existing methods mainly focus on simple disparity map fusion to improve stereo matching, which require multiple dense or sparse disparity maps. In this paper, we propose a simple yet…

Computer Vision and Pattern Recognition · Computer Science 2022-01-31 Wei Xue , Xiaojiang Peng

In Inverse Synthetic Aperture Radar (ISAR), random missing entries of the received radar echo matrix deteriorate the imaging quality, compromising target distinction from the background. Compressive sensing techniques or matrix completion…

Image and Video Processing · Electrical Eng. & Systems 2025-07-15 Necmettin Bayar , Isin Erer , Deniz Kumlu

The problem of how to find a sparse representation of a signal is an important one in applied and computational harmonic analysis. It is closely related to the problem of how to reconstruct a sparse vector from its projection in a much…

Functional Analysis · Mathematics 2018-04-13 Enrico Au-Yeung

We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned with methods based on an unmatched projector/backprojector pair; i.e., the backprojector is not the exact…

Numerical Analysis · Mathematics 2019-02-14 Yiqiu Dong , Per Christian Hansen , Michiel E. Hochstenbach , Nicolai Andre Brogaard Riis

We consider the problem of matrix completion on an $n \times m$ matrix. We introduce the problem of Interpretable Matrix Completion that aims to provide meaningful insights for the low-rank matrix using side information. We show that the…

Optimization and Control · Mathematics 2020-03-05 Dimitris Bertsimas , Michael Lingzhi Li

Building a site-specific propagation model typically requires either ray-tracing over detailed 3D maps or dense measurement campaigns. Both approaches are expensive and often infeasible for rapid deployments where geographic data is…

Signal Processing · Electrical Eng. & Systems 2026-05-11 William Bjorndahl , Maninder Pal Singh , Farhad Nouri , Joseph Camp

Depth completion aims at predicting dense pixel-wise depth from an extremely sparse map captured from a depth sensor, e.g., LiDARs. It plays an essential role in various applications such as autonomous driving, 3D reconstruction, augmented…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Junjie Hu , Chenyu Bao , Mete Ozay , Chenyou Fan , Qing Gao , Honghai Liu , Tin Lun Lam

Ongoing demand for radio spectrum by commercial wireless services has steadily increased pressure on the frequency bands traditionally reserved for radar. This paper addresses the joint problem of designing non-contiguous radar transmission…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Gordon Ariho , Hara Madhav Talasila , James M. Stiles , Peng Seng Tan

Standard interpolation techniques are implicitly based on the assumption that the signal lies on a homogeneous domain. In this letter, the proposed interpolation method instead exploits prior information about domain inhomogeneity,…

Classical Analysis and ODEs · Mathematics 2017-04-14 Hamid Behjat , Zafer Doğan , Dimitri Van De Ville , Leif Sörnmo

We derive new explicit expressions for the components of Moore-Penrose inverses of symmetric difference matrices. These generalized inverses are applied in a new regularization approach for scattered data interpolation based on partial…

Numerical Analysis · Mathematics 2016-10-03 Gerlind Plonka , Sebastian Hoffmann , Joachim Weickert

Graph-based representations underlie a wide range of scientific problems. Graph connectivity is typically represented as a sparse matrix in the Compressed Sparse Row format. Large-scale graphs rely on distributed storage, allocating…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-14 Bruno Magalhaes , Felix Schürmann

Geomagnetic map interpolation aims to infer unobserved geomagnetic data at spatial points, yielding critical applications in navigation and resource exploration. However, existing methods for scattered data interpolation are not…

Artificial Intelligence · Computer Science 2026-02-03 Wenda Li , Tongya Zheng , Kaixuan Chen , Shunyu Liu , Haoze Jiang , Yunzhi Hao , Rui Miao , Zujie Ren , Mingli Song , Hang Shi , Gang Chen

The detection and localization of a target from samples of its generated field is a problem of interest in a broad range of applications. Often, the target field admits structural properties that enable the design of lower sample detection…

Information Theory · Computer Science 2016-01-28 Sunav Choudhary , Naveen Kumar , Srikanth Narayanan , Urbashi Mitra

In this paper, we describe a low-rank matrix completion method based on matrix decomposition. An incomplete matrix is decomposed into submatrices which are filled with a proposed trimming step and then are recombined to form a low-rank…

Numerical Analysis · Mathematics 2010-06-29 Rick Ma , Samuel Cheng

Richardson extrapolation is a classical technique from numerical analysis that can improve the approximation error of an estimation method by combining linearly several estimates obtained from different values of one of its hyperparameters,…

Machine Learning · Computer Science 2020-07-20 Francis Bach

An important problem of reconstruction of diffusion network and transmission probabilities from the data has attracted a considerable attention in the past several years. A number of recent papers introduced efficient algorithms for the…

Physics and Society · Physics 2015-09-24 Andrey Y. Lokhov , Theodor Misiakiewicz