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In this paper, we investigate the theoretical guarantees of penalized $\lun$ minimization (also called Basis Pursuit Denoising or Lasso) in terms of sparsity pattern recovery (support and sign consistency) from noisy measurements with…

Information Theory · Computer Science 2011-09-13 Charles Dossal , Marie-Line Chabanol , Gabriel Peyré , Jalal Fadili

We propose a distributed algorithm for sparse signal recovery in sensor networks based on Iterative Hard Thresholding (IHT). Every agent has a set of measurements of a signal x, and the objective is for the agents to recover x from their…

Information Theory · Computer Science 2013-02-22 Stacy Patterson , Yonina C. Eldar , Idit Keidar

We consider machine learning techniques to develop low-latency approximate solutions to a class of inverse problems. More precisely, we use a probabilistic approach for the problem of recovering sparse stochastic signals that are members of…

Information Theory · Computer Science 2016-09-06 Steffen Limmer , Sławomir Stańczak

Conventional imaging only records photons directly sent from the object to the detector, while non-line-of-sight (NLOS) imaging takes the indirect light into account. Most NLOS solutions employ a transient scanning process, followed by a…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Dayu Zhu , Wenshan Cai

We investigate reconfigurable intelligent surfaces (RISs) for the task of position and velocity estimation in non-LOS (NLOS) indoor scenarios, using a snapshot based multi-step estimation algorithm. We evaluate a compound RIS structure…

Signal Processing · Electrical Eng. & Systems 2026-02-16 Thomas Zemen , Musa Furkan Keskin , Moustafa Rahal , Thomas Wilding , Hamed Radpour , Markus Hofer , Benoit Denis , Henk Wymeersch

Weak lensing convergence maps - upon which higher order statistics can be calculated - can be recovered from observations of the shear field by solving the lensing inverse problem. For typical surveys this inverse problem is ill-posed…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-08 Matthew A. Price , Xiaohao Cai , Jason D. McEwen , Thomas D. Kitching

Many nuclear safety applications need fast, portable, and accurate imagers to better locate radiation sources. The Rotating Scatter Mask (RSM) system is an emerging device with the potential to meet these needs. The main challenge is the…

Signal Processing · Electrical Eng. & Systems 2023-08-01 Yilun Zhu , Clayton Scott , Darren Holland , George Landon , Aaron Fjeldsted , Azaree Lintereur

Boosting as gradient descent algorithms is one popular method in machine learning. In this paper a novel Boosting-type algorithm is proposed based on restricted gradient descent with structural sparsity control whose underlying dynamics are…

Machine Learning · Statistics 2017-04-18 Chendi Huang , Xinwei Sun , Jiechao Xiong , Yuan Yao

Learned Sparse Retrieval (LSR) is an effective IR approach that exploits pre-trained language models for encoding text into a learned bag of words. Several efforts in the literature have shown that sparsity is key to enabling a good…

Information Retrieval · Computer Science 2025-05-06 Franco Maria Nardini , Thong Nguyen , Cosimo Rulli , Rossano Venturini , Andrew Yates

Non-line-of-Sight (NLOS) imaging systems collect light at a diffuse relay surface and input this measurement into computational algorithms that output a 3D volumetric reconstruction. These algorithms utilize the Fast Fourier Transform (FFT)…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Talha Sultan , Alex Bocchieri , Chaoying Gu , Xiaochun Liu , Pavel Polynkin , Andreas Velten

Building upon score-based learning, new interest in stochastic localization techniques has recently emerged. In these models, one seeks to noise a sample from the data distribution through a stochastic process, called observation process,…

Machine Learning · Statistics 2026-02-24 Louis Grenioux , Maxence Noble , Marylou Gabrié , Alain Oliviero Durmus

Sparse optimization receives increasing attention in many applications such as compressed sensing, variable selection in regression problems, and recently neural network compression in machine learning. For example, the problem of…

Optimization and Control · Mathematics 2022-09-29 Saeed Damadi , Jinglai Shen

The challenging problem of non-line-of-sight (NLOS) localization is critical for many wireless networking applications. The lack of available datasets has made NLOS localization difficult to tackle with ML-driven methods, but recent…

Networking and Internet Architecture · Computer Science 2024-10-28 Rafayel Darbinyan , Hrant Khachatrian , Rafayel Mkrtchyan , Theofanis P. Raptis

This work presents a general framework for solving the low rank and/or sparse matrix minimization problems, which may involve multiple non-smooth terms. The Iteratively Reweighted Least Squares (IRLS) method is a fast solver, which smooths…

Machine Learning · Computer Science 2015-06-18 Canyi Lu , Zhouchen Lin , Shuicheng Yan

This letter proposes a novel sparsity-aware adaptive filtering scheme and algorithms based on an alternating optimization strategy with shrinkage. The proposed scheme employs a two-stage structure that consists of an alternating…

Systems and Control · Computer Science 2023-07-19 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

This paper presents a novel narrowband interference (NBI) mitigation scheme for SC-FDMA systems. The proposed NBI cancellation scheme exploits the frequency domain sparsity of the unknown signal and adopts a low complexity Bayesian sparse…

Information Theory · Computer Science 2014-12-22 Anum Ali , Mudassir Masood , Muhammad S. Sohail , Samir Al-Ghadhban , Tareq Y. Al-Naffouri

As an emerging communication auxiliary technology, reconfigurable intelligent surface (RIS) is expected to play a significant role in the upcoming 6G networks. Due to its total reflection characteristics, it is challenging to implement…

Signal Processing · Electrical Eng. & Systems 2023-08-04 W. Li , Z. Lin , Q. Guo , B. Vucetic

We propose two novel approaches to the recovery of an (approximately) sparse signal from noisy linear measurements in the case that the signal is a priori known to be non-negative and obey given linear equality constraints, such as simplex…

Information Theory · Computer Science 2015-06-17 Jeremy Vila , Philip Schniter

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

Numerical Analysis · Mathematics 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

Reconfigurable Intelligent Surface (RIS) plays a pivotal role in the sixth generation networks to enhance communication rate and localization accuracy. In this letter, we propose a positioning algorithm in a RIS-assisted environment, where…

Signal Processing · Electrical Eng. & Systems 2024-07-10 Sajjad Ghiasvand , Arash Nasri , Ali H. Abdollahi Bafghi , Masoumeh Nasiri-Kenari