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This paper aims to propose and theoretically analyze a new distributed scheme for sparse linear regression and feature selection. The primary goal is to learn the few causal features of a high-dimensional dataset based on noisy observations…

Machine Learning · Statistics 2021-11-05 Hanie Barghi , Amir Najafi , Seyed Abolfazl Motahari

In this paper we propose a new framework for distributed source coding of structured sources, such as sparse signals. Our framework capitalizes on recent advances in the theory of linear inverse problems and signal representations using…

Information Theory · Computer Science 2020-12-02 Maxim Goukhshtein , Petros T. Boufounos , Toshiaki Koike-Akino , Stark C. Draper

We study the robust one-bit compressed sensing problem whose goal is to design an algorithm that faithfully recovers any sparse target vector $\theta_0\in\mathbb{R}^d$ \textit{uniformly} via $m$ quantized noisy measurements. Specifically,…

Statistics Theory · Mathematics 2020-08-25 Shuang Qiu , Xiaohan Wei , Zhuoran Yang

We give a new approach to the dictionary learning (also known as "sparse coding") problem of recovering an unknown $n\times m$ matrix $A$ (for $m \geq n$) from examples of the form \[ y = Ax + e, \] where $x$ is a random vector in $\mathbb…

Data Structures and Algorithms · Computer Science 2014-11-11 Boaz Barak , Jonathan A. Kelner , David Steurer

In this paper we study the quantization stage that is implicit in any compressed sensing signal acquisition paradigm. We propose using Sigma-Delta quantization and a subsequent reconstruction scheme based on convex optimization. We prove…

Information Theory · Computer Science 2015-04-02 Rayan Saab , Rongrong Wang , Ozgur Yilmaz

Baseband processing algorithms often require knowledge of the noise power, signal power, or signal-to-noise ratio (SNR). In practice, these parameters are typically unknown and must be estimated. Furthermore, the mean-square error (MSE) is…

Signal Processing · Electrical Eng. & Systems 2023-03-28 Alexandra Gallyas-Sanhueza , Christoph Studer

The goal of standard 1-bit compressive sensing is to accurately recover an unknown sparse vector from binary-valued measurements, each indicating the sign of a linear function of the vector. Motivated by recent advances in compressive…

Machine Learning · Statistics 2020-06-23 Zhaoqiang Liu , Selwyn Gomes , Avtansh Tiwari , Jonathan Scarlett

Minimum mean square error (MMSE) estimation of block sparse signals from noisy linear measurements is considered. Unlike in the standard compressive sensing setup where the non-zero entries of the signal are independently and uniformly…

Information Theory · Computer Science 2012-04-26 Mikko Vehkaperä , Saikat Chatterjee , Mikael Skoglund

This work presents joint minimum mean-square error (MMSE) consensus algorithm and relay selection algorithms for distributed beamforming. We propose joint MMSE consensus relay and selection schemes with a total power constraint and local…

Information Theory · Computer Science 2017-07-05 H. Ruan , R. C. de Lamare

We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated…

Systems and Control · Computer Science 2014-12-30 Chenda Liao , Prabir Barooah

We study the problem of deep joint source-channel coding (D-JSCC) for correlated image sources, where each source is transmitted through a noisy independent channel to the common receiver. In particular, we consider a pair of images…

Information Theory · Computer Science 2022-01-26 Sixian Wang , Ke Yang , Jincheng Dai , Kai Niu

To strike a balance between energy efficiency and data quality control, this paper proposes a sensor censoring scheme for distributed sparse signal recovery via compressive-sensing based wireless sensor networks. In the proposed approach,…

Information Theory · Computer Science 2018-01-16 Jwo-Yuh Wu , Ming-Hsun Yang , Tsang-Yi Wang

We provide the first analysis of a non-trivial quantization scheme for compressed sensing measurements arising from structured measurements. Specifically, our analysis studies compressed sensing matrices consisting of rows selected at…

Information Theory · Computer Science 2017-02-16 Joe-Mei Feng , Felix Krahmer , Rayan Saab

A one-shot algorithm called iterationless DANSE (iDANSE) is introduced to perform distributed adaptive node-specific signal estimation (DANSE) in a fully connected wireless acoustic sensor network (WASN) deployed in an environment with…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-07 Paul Didier , Pourya Behmandpoor , Toon van Waterschoot , Marc Moonen

We consider a distributed detection problem within a wireless sensor network (WSN), where a substantial number of sensors cooperate to detect the existence of sparse stochastic signals. To achieve a trade-off between detection performance…

Signal Processing · Electrical Eng. & Systems 2024-11-07 Linlin Mao , Shefeng Yan , Zeping Sui , Hongbin Li

Based on $\alpha$-stable random projections with small $\alpha$, we develop a simple algorithm for compressed sensing (sparse signal recovery) by utilizing only the signs (i.e., 1-bit) of the measurements. Using only 1-bit information of…

Methodology · Statistics 2015-11-12 Ping Li

We present new fundamental results for the mean square error (MSE)-optimal conditional mean estimator (CME) in one-bit quantized systems for a Gaussian mixture model (GMM) distributed signal of interest, possibly corrupted by additive white…

Signal Processing · Electrical Eng. & Systems 2024-07-02 Benedikt Fesl , Wolfgang Utschick

One-bit compressive sensing is concerned with the accurate recovery of an underlying sparse signal of interest from its one-bit noisy measurements. The conventional signal recovery approaches for this problem are mainly developed based on…

Signal Processing · Electrical Eng. & Systems 2022-09-23 Yiming Zeng , Shahin Khobahi , Mojtaba Soltanalian

This paper considers the problem of estimating the sparse mmWave massive multiple input - multiple output (MIMO) OFDM channel from one-bit quantized measurements. Unlike previous grid-based one-bit compressive sensing approaches, we present…

Signal Processing · Electrical Eng. & Systems 2019-11-18 Mahdi Eskandari , Hamidreza Bakhshi

We consider the problem of positioning a cloud of points in the Euclidean space $\mathbb{R}^d$, using noisy measurements of a subset of pairwise distances. This task has applications in various areas, such as sensor network localization and…

Statistics Theory · Mathematics 2012-11-22 Adel Javanmard , Andrea Montanari