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As computational machines become larger and more complex, the probability of hardware failure rises. ``Silent errors'', or bit flips, may not be immediately apparent but can cause detrimental effects to algorithm behavior. In this work, we…

Numerical Analysis · Mathematics 2025-03-31 Erin Claire Carson , Jakub Hercík

Detecting multiple unknown objects in noisy data is a key problem in many scientific fields, such as electron microscopy imaging. A common model for the unknown objects is the linear subspace model, which assumes that the objects can be…

Statistics Theory · Mathematics 2024-05-02 Amitay Eldar , Keren Mor Waknin , Samuel Davenport , Tamir Bendory , Armin Schwartzman , Yoel Shkolnisky

Compressive Sensing (CS) is a new paradigm for the efficient acquisition of signals that have sparse representation in a certain domain. Traditionally, CS has provided numerous methods for signal recovery over an orthonormal basis. However,…

Information Theory · Computer Science 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

We address the new problem of estimating a piece-wise constant signal with the purpose of detecting its change points and the levels of clusters. Our approach is to model it as a nonparametric penalized least square model selection on a…

Machine Learning · Statistics 2019-12-04 Othmane Mazhar , Cristian R. Rojas , Carlo Fischione , Mohammad R. Hesamzadeh

In this paper, we address the sparse multiple measurement vector (MMV) problem where the objective is to recover a set of sparse nonzero row vectors or indices of a signal matrix from incomplete measurements. Ideally, regardless of the…

Information Theory · Computer Science 2016-01-27 Kyung Su Kim , Sae-Young Chung

In this paper, we consider compressed sensing (CS) of block-sparse signals, i.e., sparse signals that have nonzero coefficients occurring in clusters. An efficient algorithm, called zero-point attracting projection (ZAP) algorithm, is…

Information Theory · Computer Science 2012-03-09 Jingbo Liu , Jian Jin , Yuantao Gu

In this paper, we consider a subset selection problem in a spatial field where we seek to find a set of k locations whose observations provide the best estimate of the field value at a finite set of prediction locations. The measurements…

Optimization and Control · Mathematics 2022-04-12 Shamak Dutta , Nils Wilde , Stephen L. Smith

Motivated by recent work on stochastic gradient descent methods, we develop two stochastic variants of greedy algorithms for possibly non-convex optimization problems with sparsity constraints. We prove linear convergence in expectation to…

Numerical Analysis · Mathematics 2014-07-02 Nam Nguyen , Deanna Needell , Tina Woolf

In the theory of compressed sensing (CS), the sparsity $\|x\|_0$ of the unknown signal $\mathbf{x} \in \mathcal{R}^n$ is of prime importance and the focus of reconstruction algorithms has mainly been either $\|x\|_0$ or its convex…

Information Theory · Computer Science 2016-05-17 Mithun Das Gupta

Sparse signal recovery deals with finding the sparsest solution of an under-determined linear system $\vx = \mQ\vs$. In this paper, we propose a novel greedy approach to addressing the challenges from such a problem. Such an approach is…

Information Theory · Computer Science 2026-04-09 Gang Li , Qiuwei Li , Shuang Li , Wu Angela Li

Sparse subspace clustering (SSC) using greedy-based neighbor selection, such as matching pursuit (MP) and orthogonal matching pursuit (OMP), has been known as a popular computationally-efficient alternative to the conventional…

Machine Learning · Statistics 2020-02-04 Jwo-Yuh Wu , Wen-Hsuan Li , Liang-Chi Huang , Yen-Ping Lin , Chun-Hung Liu , Rung-Hung Gau

Hard Thresholding Pursuit (HTP) is an iterative greedy selection procedure for finding sparse solutions of underdetermined linear systems. This method has been shown to have strong theoretical guarantee and impressive numerical performance.…

Machine Learning · Computer Science 2013-11-26 Xiao-Tong Yuan , Ping Li , Tong Zhang

Identifying breakpoints in piecewise regression is critical in enhancing the reliability and interpretability of data fitting. In this paper, we propose novel algorithms based on the greedy algorithm to accurately and efficiently identify…

Machine Learning · Statistics 2026-04-14 Taehyeong Kim , Hyungu Lee , Myungjin Kim , Hayoung Choi

We describe an objective and automated method for detecting clusters of galaxies from optical imaging data. This method is a variant of the so-called `matched-filter' technique pioneered by Postman et al. (1996). With simultaneous use of…

Astrophysics · Physics 2009-10-30 Wataru Kawasaki , Kazuhiro Shimasaku , Mamoru Doi , Sadanori Okamura

The ability to detect sparse signals from noisy high-dimensional data is a top priority in modern science and engineering. A sparse solution of the linear system $A \rho = b_0$ can be found efficiently with an $l_1$-norm minimization…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

This paper proposes a new approach to detecting grasp points on novel objects presented in clutter. The input to our algorithm is a point cloud and the geometric parameters of the robot hand. The output is a set of hand configurations that…

Robotics · Computer Science 2015-04-30 Andreas ten Pas , Robert Platt

This paper introduces an approach for detecting differences in the first-order structures of spatial point patterns. The proposed approach leverages the kernel mean embedding in a novel way by introducing its approximate version tailored to…

Methodology · Statistics 2020-06-15 Raif M. Rustamov , James T. Klosowski

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

Machine Learning · Computer Science 2019-07-19 Manolis C. Tsakiris , Rene Vidal

Pedestrian detection benefits from deep learning technology and gains rapid development in recent years. Most of detectors follow general object detection frame, i.e. default boxes and two-stage process. Recently, anchor-free and one-stage…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Wenhao Wang , Jusheng Zhang

A Bayesian zero-velocity detector for foot-mounted inertial navigation systems is presented. The detector extends existing zero-velocity detectors based on the likelihood-ratio test, and allows, possibly time-dependent, prior information…

Signal Processing · Electrical Eng. & Systems 2019-05-14 Johan Wahlström , Isaac Skog , Fredrik Gustafsson , Andrew Markham , Niki Trigoni