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This paper describes performance bounds for compressed sensing (CS) where the underlying sparse or compressible (sparsely approximable) signal is a vector of nonnegative intensities whose measurements are corrupted by Poisson noise. In this…

Information Theory · Computer Science 2015-05-14 Maxim Raginsky , Rebecca M. Willett , Zachary T. Harmany , Roummel F. Marcia

Adaptive filter in complex scenarios demands algorithms that integrate fast convergence, low complexity, and robust performance under diverse noise conditions. To address this challenge, we propose a online censoring robust total…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Yi Peng , Haiquan Zhao , Jinhui Hu

We consider a multi-hop wireless sensor network that measures sparse events and propose a simple forwarding protocol based on Compressed Sensing (CS) which does not need any sophisticated Media Access Control (MAC) scheduling, neither a…

Other Computer Science · Computer Science 2012-08-08 Megumi Kaneko , Khaldoun Al Agha

Compressive sensing (CS) is a technique that enables the recovery of sparse signals using fewer measurements than traditional sampling methods. To address the computational challenges of CS reconstruction, our objective is to develop an…

Image and Video Processing · Electrical Eng. & Systems 2024-01-08 Youhao Yu , Richard M. Dansereau

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

Compressive sensing magnetic resonance imaging (CS-MRI) accelerates the acquisition of MR images by breaking the Nyquist sampling limit. In this work, a novel generative adversarial network (GAN) based framework for CS-MRI reconstruction is…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Puneesh Deora , Bhavya Vasudeva , Saumik Bhattacharya , Pyari Mohan Pradhan

This work studies the recursive robust principal components analysis (PCA) problem. If the outlier is the signal-of-interest, this problem can be interpreted as one of recursively recovering a time sequence of sparse vectors, $S_t$, in the…

Information Theory · Computer Science 2014-03-28 Chenlu Qiu , Namrata Vaswani , Brian Lois , Leslie Hogben

Compressive learning (CL) is an emerging framework that integrates signal acquisition via compressed sensing (CS) and machine learning for inference tasks directly on a small number of measurements. It can be a promising alternative to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Chong Mou , Jian Zhang

Contrastive Learning (CL) performances as a rising approach to address the challenge of sparse and noisy recommendation data. Although having achieved promising results, most existing CL methods only perform either hand-crafted data or…

Information Retrieval · Computer Science 2023-11-22 Xiuyuan Qin , Huanhuan Yuan , Pengpeng Zhao , Junhua Fang , Fuzhen Zhuang , Guanfeng Liu , Victor Sheng

Compressed sensing (CS) or sparse signal reconstruction (SSR) is a signal processing technique that exploits the fact that acquired data can have a sparse representation in some basis. One popular technique to reconstruct or approximate the…

Information Theory · Computer Science 2014-05-08 Esa Ollila , Hyon-Jung Kim , Visa Koivunen

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…

Information Theory · Computer Science 2024-10-30 Nikolajs Skuratovs , Michael Davies

Exascale computing promises quantities of data too large to efficiently store and transfer across networks in order to be able to analyze and visualize the results. We investigate Compressive Sensing (CS) as a way to reduce the size of the…

Information Theory · Computer Science 2015-08-27 Maher Salloum , Nathan Fabian , David M. Hensinger , Jeremy A. Templeton

Radio interferometry has always faced the problem of incomplete sampling of the Fourier plane. A possible remedy can be found in the promising new theory of compressed sensing (CS), which allows for the accurate recovery of sparse signals…

Instrumentation and Methods for Astrophysics · Physics 2015-12-22 Clara Fannjiang

We consider the problem of reconstructing 2D images from randomly under-sampled confocal microscopy samples. The well known and widely celebrated total variation regularization, which is the L1 norm of derivatives, turns out to be…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Bibin Francis , Manoj Mathew , Muthuvel Arigovindan

It is well established in the compressive sensing (CS) literature that sensing matrices whose elements are drawn from independent random distributions exhibit enhanced reconstruction capabilities. In many CS applications, such as…

Optimization and Control · Mathematics 2018-03-26 Richard Obermeier , Jose Angel Martinez-Lorenzo

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

Information Theory · Computer Science 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

This work proposes a causal and recursive algorithm for solving the "robust" principal components' analysis (PCA) problem. We primarily focus on robustness to correlated outliers. In recent work, we proposed a new way to look at this…

Information Theory · Computer Science 2011-03-03 Chenlu Qiu , Namrata Vaswani

Compressed sensing (CS) involves sampling signals at rates less than their Nyquist rates and attempting to reconstruct them after sample acquisition. Most such algorithms have parameters, for example the regularization parameter in LASSO,…

Information Theory · Computer Science 2021-02-23 Chinmay Gurjarpadhye , Shubhang Bhatnagar , Ajit Rajwade

Recently, the l0-least mean square (l0-LMS) algorithm has been proposed to identify sparse linear systems by employing a sparsity-promoting continuous function as an approximation of l0 pseudonorm penalty. However, the performance of this…

Information Theory · Computer Science 2016-05-11 Bijit Kumar Das , Mrityunjoy Chakraborty

Despite the recent developments in the field of cross-modal retrieval, there has been less research focusing on low-resource languages due to the lack of manually annotated datasets. In this paper, we propose a noise-robust cross-lingual…

Computer Vision and Pattern Recognition · Computer Science 2022-08-29 Yabing Wang , Jianfeng Dong , Tianxiang Liang , Minsong Zhang , Rui Cai , Xun Wang