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Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

数值分析 · 数学 2016-06-07 Victor Y. Pan , Liang Zhao

We consider the problem of reconstructing a signal from multi-layered (possibly) non-linear measurements. Using non-rigorous but standard methods from statistical physics we present the Multi-Layer Approximate Message Passing (ML-AMP)…

信息论 · 计算机科学 2020-01-22 Andre Manoel , Florent Krzakala , Marc Mézard , Lenka Zdeborová

In practice, the finite number of samples of the spherical radiation pattern or antenna gain are taken on the sphere for both the reconstruction of the antenna radiation pattern and the computation of mobile handset performance measures…

信号处理 · 电气工程与系统科学 2018-12-03 Umair Ahmed , Zubair Khalid

This paper considers efficient sampling of simultaneously sparse and correlated (S$\&$C) signals. Such signals arise in various applications in array processing. We propose an implementable sampling architecture for the acquisition of…

信息论 · 计算机科学 2023-01-19 Ali Ahmed , Fahad Shamshad , Humera Hameed

In the context of Monte Carlo sampling for lattice models, the complexity of the energy landscape often leads to Markov chains being trapped in local optima, thereby increasing the correlation between samples and reducing sampling…

统计力学 · 物理学 2024-10-29 Jiewei Ding , Jiahao Su , Ho-Kin Tang , Wing Chi Yu

Digital acquisition of bio-signals has been mostly dominated by uniform time sampling following the Nyquist theorem. However, in recent years, new approaches have emerged, focused on sampling a signal only when certain events happen.…

信号处理 · 电气工程与系统科学 2025-01-22 Silvio Zanoli , Giovanni Ansaloni , Tomás Teijeiro , David Atiena

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

数据结构与算法 · 计算机科学 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

We present an innovative approach to the synthesis of linear arrays having the least possible number of elements while radiating shaped beams lying in completely arbitrary power masks. The approach, based on theory and procedures lend from…

应用物理 · 物理学 2017-10-16 A. F. Morabito , A. R. Laganà , G. Sorbello , T. Isernia

In this letter, we propose an algorithm for recovery of sparse and low rank components of matrices using an iterative method with adaptive thresholding. In each iteration, the low rank and sparse components are obtained using a thresholding…

数值分析 · 计算机科学 2017-04-13 Nematollah Zarmehi , Farokh Marvasti

Compressed sensing of simultaneously sparse and low-rank matrices enables recovery of sparse signals from a few linear measurements of their bilinear form. One important question is how many measurements are needed for a stable…

信息论 · 计算机科学 2016-07-01 Kiryung Lee , Yihong Wu , Yoram Bresler

In this paper, we consider the problem of column subset selection. We present a novel analysis of the spectral norm reconstruction for a simple randomized algorithm and establish a new bound that depends explicitly on the sampling…

数值分析 · 数学 2015-05-05 Tianbao Yang , Lijun Zhang , Rong Jin , Shenghuo Zhu

Matrix completion refers to completing a low-rank matrix from a few observed elements of its entries and has been known as one of the significant and widely-used problems in recent years. The required number of observations for exact…

信息论 · 计算机科学 2021-11-02 Hamideh. Sadat Fazael Ardakani , Niloufar Rahmani , Sajad Daei

We consider the structured-output prediction problem through probabilistic approaches and generalize the "perturb-and-MAP" framework to more challenging weighted Hamming losses, which are crucial in applications. While in principle our…

机器学习 · 统计学 2018-11-22 Tatiana Shpakova , Francis Bach , Anton Osokin

We study the completion of approximately low rank matrices with entries missing not at random (MNAR). In the context of typical large-dimensional statistical settings, we establish a framework for the performance analysis of the nuclear…

信息论 · 计算机科学 2024-01-02 Agostino Capponi , Mihailo Stojnic

Machine learning methods provide a general framework for automatically finding and representing the essential characteristics of simulation data. This task is particularly crucial in enhanced sampling simulations. There we seek a few…

化学物理 · 物理学 2021-07-07 Jakub Rydzewski , Omar Valsson

In this letter, we study the deterministic sampling patterns for the completion of low rank matrix, when corrupted with a sparse noise, also known as robust matrix completion. We extend the recent results on the deterministic sampling…

信息论 · 计算机科学 2018-03-14 Morteza Ashraphijuo , Vaneet Aggarwal , Xiaodong Wang

Iterative algorithms are widely used in digital signal processing applications. With the case study of radio astronomy calibration processing, this work contributes towards revealing and exploiting the intrinsic error resilience of…

信号处理 · 电气工程与系统科学 2025-02-21 G. A. Gillani , A. Krapukhin , A. B. J. Kokkeler

This paper constructs a full dimensional (6D) radio map to predict the channel gain between any transmitter location and any receiver location based on received signal strength (RSS) measurements between low-altitude aerial nodes and ground…

信号处理 · 电气工程与系统科学 2022-09-02 Wenjie Liu , Junting Chen

Matrices are exceptionally useful in various fields of study as they provide a convenient framework to organize and manipulate data in a structured manner. However, modern matrices can involve billions of elements, making their storage and…

机器学习 · 计算机科学 2023-10-18 Rajarshi Saha , Varun Srivastava , Mert Pilanci

The paper studies the problem of recovering a spectrally sparse object from a small number of time domain samples. Specifically, the object of interest with ambient dimension $n$ is assumed to be a mixture of $r$ complex multi-dimensional…

信息论 · 计算机科学 2015-01-06 Yuxin Chen , Yuejie Chi