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Most of the existing methods for sparse signal recovery assume a static system: the unknown signal is a finite-length vector for which a fixed set of linear measurements and a sparse representation basis are available and an L1-norm…

Information Theory · Computer Science 2013-06-17 M. Salman Asif , Justin Romberg

We propose a new method, {\it binary fused compressive sensing} (BFCS), to recover sparse piece-wise smooth signals from 1-bit compressive measurements. The proposed algorithm is a modification of the previous {\it binary iterative hard…

Computer Vision and Pattern Recognition · Computer Science 2014-02-21 Xiangrong Zeng , Mário A. T. Figueiredo

Recovery of sparse signals from compressed measurements constitutes an l0 norm minimization problem, which is unpractical to solve. A number of sparse recovery approaches have appeared in the literature, including l1 minimization…

Information Theory · Computer Science 2013-08-27 Nazim Burak Karahanoglu , Hakan Erdogan

We study the problem of jointly sparse support recovery with 1-bit compressive measurements in a sensor network. Sensors are assumed to observe sparse signals having the same but unknown sparse support. Each sensor quantizes its measurement…

Information Theory · Computer Science 2015-06-02 Vipul Gupta , Bhavya Kailkhura , Thakshila Wimalajeewa , Pramod K. Varshney

One-bit compressed sensing (1bCS) addresses the recovery of sparse signals from highly quantized measurements, retaining only the sign of each linear measurement. In the support recovery setting, the goal is to identify $\text{supp}(x)$,…

Information Theory · Computer Science 2026-04-14 Xiaxin Li , Arya Mazumdar

In this paper, utilizing techniques in compressed sensing, parallel optimization and deep learning, we propose a model-driven approach to jointly design the common measurement matrix and GROUP LASSO-based jointly sparse signal recovery…

Information Theory · Computer Science 2020-02-10 Shuaichao Li , Wanqing Zhang , Ying Cui

Recovering a low-rank matrix from highly corrupted measurements arises in compressed sensing of structured high-dimensional signals (e.g., videos and hyperspectral images among others). Robust principal component analysis (RPCA), solved via…

Optimization and Control · Mathematics 2022-06-28 Vahan Hovhannisyan , Yannis Panagakis , Panos Parpas , Stefanos Zafeiriou

Target classification is a fundamental task in radar systems, and its performance critically depends on the quantization precision of the signal. While high-precision quantization (e.g. 16-bit) is well established, 1-bit quantization offers…

Signal Processing · Electrical Eng. & Systems 2025-12-18 Jundong Qi , Weize Sun , Shaowu Chen , Lei Huang , Qiuchen Liu

Coded compressed sensing is an algorithmic framework tailored to sparse recovery in very large dimensional spaces. This framework is originally envisioned for the unsourced multiple access channel, a wireless paradigm attuned to…

Information Theory · Computer Science 2019-10-23 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

One-bit compressive sensing has extended the scope of sparse recovery by showing that sparse signals can be accurately reconstructed even when their linear measurements are subject to the extreme quantization scenario of binary…

Information Theory · Computer Science 2016-06-27 Rich Baraniuk , Simon Foucart , Deanna Needell , Yaniv Plan , Mary Wootters

Sparse signals, encountered in many wireless and signal acquisition applications, can be acquired via compressed sensing (CS) to reduce computations and transmissions, crucial for resource-limited devices, e.g., wireless sensors. Since the…

Signal Processing · Electrical Eng. & Systems 2020-08-27 Markus Leinonen , Marian Codreanu

This letter proposes a sparse diffusion steepest-descent algorithm for one bit compressed sensing in wireless sensor networks. The approach exploits the diffusion strategy from distributed learning in the one bit compressed sensing…

Machine Learning · Statistics 2016-01-05 Hadi Zayyani , Mehdi Korki , Farrokh Marvasti

Phase retrieval (PR) is an important component in modern computational imaging systems. Many algorithms have been developed over the past half-century. Recent advances in deep learning have introduced new possibilities for a robust and fast…

Machine Learning · Computer Science 2021-11-10 Chang-Jen Wang , Chao-Kai Wen , Shang-Ho , Tsai , Shi Jin , Geoffrey Ye Li

The increasing penetration of distributed energy resources (DERs) will decrease the rotational inertia of the power system and further degrade the system frequency stability. To address the above issues, this paper leverages the advanced…

Systems and Control · Electrical Eng. & Systems 2023-04-24 Linwei Sang , Yinliang Xu , Zhongkai Yi , Lun Yang , Huan Long , Hongbin Sun

Deep unfolded neural networks are designed by unrolling the iterations of optimization algorithms. They can be shown to achieve faster convergence and higher accuracy than their optimization counterparts. This paper proposes a new…

Machine Learning · Computer Science 2020-10-05 Huynh Van Luong , Boris Joukovsky , Yonina C. Eldar , Nikos Deligiannis

This letter investigates the joint recovery of a frequency-sparse signal ensemble sharing a common frequency-sparse component from the collection of their compressed measurements. Unlike conventional arts in compressed sensing, the…

Information Theory · Computer Science 2015-06-22 Zhenqi Lu , Rendong Ying , Sumxin Jiang , Peilin Liu , Wenxian Yu

In linear inverse problems, the goal is to recover a target signal from undersampled, incomplete or noisy linear measurements. Typically, the recovery relies on complex numerical optimization methods; recent approaches perform an unfolding…

Machine Learning · Computer Science 2020-01-08 Evaggelia Tsiligianni , Nikos Deligiannis

The 1-bit compressed sensing framework enables the recovery of a sparse vector x from the sign information of each entry of its linear transformation. Discarding the amplitude information can significantly reduce the amount of data, which…

Data Analysis, Statistics and Probability · Physics 2019-04-01 Yingying Xu , Yoshiyuki Kabashima , Lenka Zdeborova

In this paper, we consider deep neural networks for solving inverse problems that are robust to forward model mis-specifications. Specifically, we treat sensing problems with model mismatch where one wishes to recover a sparse…

Machine Learning · Computer Science 2021-10-22 Wei Pu , Chao Zhou , Yonina C. Eldar , Miguel R. D. Rodrigues

Deep neural networks (DNNs) have been quite successful in solving many complex learning problems. However, DNNs tend to have a large number of learning parameters, leading to a large memory and computation requirement. In this paper, we…

Machine Learning · Computer Science 2019-05-21 Sangkyun Lee , Jeonghyun Lee