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Matching pursuit, especially its orthogonal version (OMP) and variations, is a greedy algorithm widely used in signal processing, compressed sensing, and sparse modeling. Inspired by constrained sparse signal recovery, this paper proposes a…

最优化与控制 · 数学 2020-03-18 Jinglai Shen , Seyedahmad Mousavi

The Kaczmarz algorithm is popular for iteratively solving an overdetermined system of linear equations. The traditional Kaczmarz algorithm can approximate the solution in few sweeps through the equations but a randomized version of the…

数值分析 · 计算机科学 2014-02-04 Hemant Kumar Aggarwal , Angshul Majumdar

Forward modeling approaches in cosmology have made it possible to reconstruct the initial conditions at the beginning of the Universe from the observed survey data. However the high dimensionality of the parameter space still poses a…

天体物理仪器与方法 · 物理学 2023-04-05 Chirag Modi , Yin Li , David Blei

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

信息论 · 计算机科学 2021-09-21 Elad Romanov , Or Ordentlich

The Recently proposed Vector Approximate Message Passing (VAMP) algorithm demonstrates a great reconstruction potential at solving compressed sensing related linear inverse problems. VAMP provides high per-iteration improvement, can utilize…

信息论 · 计算机科学 2024-10-30 Nikolajs Skuratovs , Michael Davies

This paper introduces an algorithmic solution to a broader class of unlabeled sensing problems with multiple measurement vectors (MMV). The goal is to recover an unknown structured signal matrix, $\mathbf{X}$, from its noisy linear…

信息论 · 计算机科学 2024-06-13 Mohamed Akrout , Amine Mezghani , Faouzi Bellili

Recovery of the sparsity pattern (or support) of an unknown sparse vector from a limited number of noisy linear measurements is an important problem in compressed sensing. In the high-dimensional setting, it is known that recovery with a…

信息论 · 计算机科学 2012-06-26 Galen Reeves , Michael Gastpar

In the problem of multiple support recovery, we are given access to linear measurements of multiple sparse samples in $\mathbb{R}^{d}$. These samples can be partitioned into $\ell$ groups, with samples having the same support belonging to…

信息论 · 计算机科学 2022-05-25 Lekshmi Ramesh , Chandra R. Murthy , Himanshu Tyagi

Boosting is a popular algorithm in supervised machine learning with wide applications in regression and classification problems. It combines weak learners, such as regression trees, to obtain accurate predictions. However, in the presence…

统计计算 · 统计学 2025-02-06 Zhu Wang

Large collections of matrices arise throughout modern machine learning, signal processing, and scientific computing, where they are commonly compressed by concatenation followed by truncated singular value decomposition (SVD). This strategy…

数值分析 · 数学 2026-01-21 Maksym Shamrai

With the fast growth of communication networks, the video data transmission from these networks is extremely vulnerable. Error concealment is a technique to estimate the damaged data by employing the correctly received data at the decoder.…

多媒体 · 计算机科学 2016-10-26 Seyed Mojtaba Marvasti-Zadeh , Hossein Ghanei-Yakhdan , Shohreh Kasaei

In this paper, multi-snapshot Newtonized orthogonal matching pursuit (MNOMP) algorithm is proposed to deal with the line spectrum estimation with multiple measurement vectors (MMVs). MNOMP has the low computation complexity and…

信息论 · 计算机科学 2019-05-09 Jiang Zhu , Lin Han , Rick S. Blum , Zhiwei Xu

We consider the problem of non-coherent over-the-air computation (AirComp), where $n$ devices carry high-dimensional data vectors $\mathbf{x}_i\in\mathbb{R}^d$ of sparsity $\lVert\mathbf{x}_i\rVert_0\leq k$ whose sum has to be computed at a…

信号处理 · 电气工程与系统科学 2025-10-22 Henrik Hellström , Jiwon Jeong , Ayfer Özgür , Viktoria Fodor , Carlo Fischione

Statistical learning methods for automated variable selection, such as the Least Absolute Shrinkage and Selection Operator (LASSO), elastic nets, and gradient boosting, have become increasingly popular tools for building powerful prediction…

机器学习 · 统计学 2026-04-13 Robert Kuchen

Componentwise boosting (CWB), also known as model-based boosting, is a variant of gradient boosting that builds on additive models as base learners to ensure interpretability. CWB is thus often used in research areas where models are…

统计计算 · 统计学 2021-11-01 Daniel Schalk , Bernd Bischl , David Rügamer

We advocate an optimization procedure for variable density sampling in the context of compressed sensing. In this perspective, we introduce a minimization problem for the coherence between the sparsity and sensing bases, whose solution…

信息论 · 计算机科学 2011-09-29 Gilles Puy , Pierre Vandergheynst , Yves Wiaux

The support recovery problem consists of determining a sparse subset of a set of variables that is relevant in generating a set of observations, and arises in a diverse range of settings such as compressive sensing, and subset selection in…

信息论 · 计算机科学 2016-08-31 Jonathan Scarlett , Volkan Cevher

We investigate a compressive sensing framework in which the sensors introduce a distortion to the measurements in the form of unknown gains. We focus on blind calibration, using measures performed on multiple unknown (but sparse) signals…

信息论 · 计算机科学 2014-08-26 Cagdas Bilen , Gilles Puy , Rémi Gribonval , Laurent Daudet

In Compressed Sensing, a real-valued sparse vector has to be estimated from an underdetermined system of linear equations. In many applications, however, the elements of the sparse vector are drawn from a finite set. For the estimation of…

信息论 · 计算机科学 2016-08-24 Susanne Sparrer , Robert F. H. Fischer

Existing visual token pruning methods target prompt alignment and visual preservation with static strategies, overlooking the varying relative importance of these objectives across tasks, which leads to inconsistent performance. To address…

计算机视觉与模式识别 · 计算机科学 2026-03-05 Yangfu Li , Hongjian Zhan , Tianyi Chen , Qi Liu , Yue Lu