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Distributed compressive sensing is a framework considering jointly sparsity within signal ensembles along with multiple measurement vectors (MMVs). The current theoretical bound of performance for MMVs, however, is derived to be the same…

Information Theory · Computer Science 2016-09-12 Sung-Hsien Hsieh , Wei-Jie Liang , Chun-Shien Lu , Soo-Chang Pei

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

Information Theory · Computer Science 2015-10-28 Sohail Bahmani , Justin Romberg

Blind Compressed Sensing (BCS) is an extension of Compressed Sensing (CS) where the optimal sparsifying dictionary is assumed to be unknown and subject to estimation (in addition to the CS sparse coefficients). Since the emergence of BCS,…

Information Theory · Computer Science 2015-08-11 Mohammad Aghagolzadeh , Hayder Radha

This paper concerns the problem of recovering an unknown but structured signal $x \in R^n$ from $m$ quadratic measurements of the form $y_r=|<a_r,x>|^2$ for $r=1,2,...,m$. We focus on the under-determined setting where the number of…

Machine Learning · Computer Science 2017-02-22 Mahdi Soltanolkotabi

Weakly supervised learning aims to empower machine learning when the perfect supervision is unavailable, which has drawn great attention from researchers. Among various types of weak supervision, one of the most challenging cases is to…

Machine Learning · Computer Science 2023-09-18 Zheng Xie , Yu Liu , Ming Li

Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

Information Theory · Computer Science 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin

In this paper we study the compressed sensing problem of recovering a sparse signal from a system of underdetermined linear equations when we have prior information about the probability of each entry of the unknown signal being nonzero. In…

Information Theory · Computer Science 2009-01-20 M. Amin Khajehnejad , Weiyu Xu , Salman Avestimehr , Babak Hassibi

This article proposes a novel algorithm for solving mismatch problem in compressed sensing. Its core is to transform mismatch problem into matched by constructing a new measurement matrix to match measurement value under unknown measurement…

Signal Processing · Electrical Eng. & Systems 2024-10-31 Le Yang

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

Information Theory · Computer Science 2014-05-02 Armin Eftekhari , Michael B. Wakin

Unlike compressive sensing where the measurement outputs are assumed to be real-valued and have infinite precision, in "one-bit compressive sensing", measurements are quantized to one bit, their signs. In this work, we show how to recover…

Information Theory · Computer Science 2017-05-03 Jayadev Acharya , Arnab Bhattacharyya , Pritish Kamath

This article seeks to advance coded compressed sensing (CCS) as a practical scheme for unsourced random access. The original CCS algorithm features a concatenated structure where an inner code is tasked with support recovery, and an outer…

Information Theory · Computer Science 2020-10-23 Jamison R. Ebert , Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

The recovery of signals with finite-valued components from few linear measurements is a problem with widespread applications and interesting mathematical characteristics. In the compressed sensing framework, tailored methods have been…

Optimization and Control · Mathematics 2019-07-24 Sophie M. Fosson , Mohammad Abuabiah

We address the recovery of sparse vectors in an overcomplete, linear and noisy multiple measurement framework, where the measurement matrix is known upto a permutation of its rows. We derive sparse Bayesian learning (SBL) based updates for…

Information Theory · Computer Science 2018-02-05 Ranjitha Prasad

While supervised deep learning has achieved great success in a range of applications, relatively little work has studied the discovery of knowledge from unlabeled data. In this paper, we propose an unsupervised deep learning framework to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Jinghua Wang , Jianmin Jiang

Multimodal Large Language Models (MLLMs) have notably enhanced the performance of Multimodal Sentiment Analysis (MSA), yet their massive parameter scale leads to excessive resource consumption in training and inference, severely limiting…

Computation and Language · Computer Science 2026-01-21 Shiqin Han , Manning Gao , Menghua Jiang , Yuncheng Jiang , Haifeng Hu , Sijie Mai

A novel compressive-sensing based signal multiplexing scheme is proposed in this paper to further improve the multiplexing gain for multiple input multiple output (MIMO) system. At the transmitter side, a Gaussian random measurement matrix…

Information Theory · Computer Science 2016-04-05 Chanzi Liu , Qingchun Chen , Xiaohu Tang

In compressed sensing, the goal is to reconstruct the signal from an underdetermined system of linear measurements. Thus, prior knowledge about the signal of interest and its structure is required. Additionally, in many scenarios, the…

Machine Learning · Computer Science 2022-06-29 Anna Kuzina , Kumar Pratik , Fabio Valerio Massoli , Arash Behboodi

In this study, we consider a variant of unlabelled sensing where the measurements are sparsely permuted, and additionally, a few correspondences are known. We present an estimator to solve for the unknown vector. We derive a theoretical…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Garweet Sresth , Ajit Rajwade , Satish Mulleti

We present a novel approach for recovering a sparse signal from cross-correlated data. Cross-correlations naturally arise in many fields of imaging, such as optics, holography and seismic interferometry. Compared to the sparse signal…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

In this paper, we study the problem of sparse mixed linear regression on an unlabeled dataset that is generated from linear measurements from two different regression parameter vectors. Since the data is unlabeled, our task is not only to…

Machine Learning · Computer Science 2022-09-12 Adarsh Barik , Jean Honorio