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Compressed sensing is a paradigm within signal processing that provides the means for recovering structured signals from linear measurements in a highly efficient manner. Originally devised for the recovery of sparse signals, it has become…

Information Theory · Computer Science 2021-12-09 Jens Eisert , Axel Flinth , Benedikt Groß , Ingo Roth , Gerhard Wunder

We consider a reconciliation problem, where two hosts wish to synchronize their respective sets. Efficient solutions for minimizing the communication cost between the two hosts have been previously proposed in the literature. However, they…

Information Theory · Computer Science 2012-12-13 H. T. Kung , Chia-Mu Yu

Recently, significant connections between compressed sensing problems and optimization of a particular class of functions relating to solutions of Hamilton-Jacobi equation was discovered. In this paper we introduce a fast approximate…

Optimization and Control · Mathematics 2013-11-27 Farzin Barekat , Stanley Osher , Jerome Darbon

Compressive sensing achieves effective dimensionality reduction of signals, under a sparsity constraint, by means of a small number of random measurements acquired through a sensing matrix. In a signal processing system, the problem arises…

Information Theory · Computer Science 2014-03-13 Diego Valsesia , Enrico Magli

Lossy gradient compression has become a practical tool to overcome the communication bottleneck in centrally coordinated distributed training of machine learning models. However, algorithms for decentralized training with compressed…

Machine Learning · Computer Science 2020-10-20 Thijs Vogels , Sai Praneeth Karimireddy , Martin Jaggi

We study the compressive diffusion strategies over distributed networks based on the diffusion implementation and adaptive extraction of the information from the compressed diffusion data. We demonstrate that one can achieve a comparable…

Systems and Control · Computer Science 2015-06-18 Muhammed O. Sayin , Suleyman S. Kozat

For the problem of multi-class linear classification and feature selection, we propose approximate message passing approaches to sparse multinomial logistic regression (MLR). First, we propose two algorithms based on the Hybrid Generalized…

Information Theory · Computer Science 2016-09-21 Evan Byrne , Philip Schniter

This paper presents a unified framework to understand the dynamics of message-passing algorithms in compressed sensing. State evolution is rigorously analyzed for a general error model that contains the error model of approximate…

Information Theory · Computer Science 2019-01-17 Keigo Takeuchi

There is a growing interest in signaling schemes that operate in the wideband regime due to the crowded frequency spectrum. However, a downside of the wideband regime is that obtaining channel state information is costly, and the capacity…

Signal Processing · Electrical Eng. & Systems 2022-06-01 Kathleen Yang , Diana C. Gonzalez , Yonina C. Eldar , Muriel Medard

Communication efficiency is of importance for wireless federated learning systems. In this paper, we propose a communication-efficient strategy for federated learning over multiple-input multiple-output (MIMO) multiple access channels…

Information Theory · Computer Science 2022-06-14 Yo-Seb Jeon , Mohammad Mohammadi Amiri , Namyoon Lee

This paper considers a compressive sensing (CS) approach for hyperspectral data acquisition, which results in a practical compression ratio substantially higher than the state-of-the-art. Applying simultaneous low-rank and joint-sparse…

Information Theory · Computer Science 2016-07-13 Yangqing Li , Saurabh Prasad , Wei Chen , Changchuan Yin , Zhu Han

In this work we aim to solve the compressed sensing problem for the case of a complex unknown vector by utilizing the Bayesian-optimal structured signal approximate message passing (BOSSAMP) algorithm on the jointly sparse real and…

Information Theory · Computer Science 2015-11-30 Gabor Hannak , Martin Mayer , Gerald Matz , Norbert Goertz

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

Information Theory · Computer Science 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

Lossless image compression is an important technique for image storage and transmission when information loss is not allowed. With the fast development of deep learning techniques, deep neural networks have been used in this field to…

Image and Video Processing · Electrical Eng. & Systems 2021-08-25 Honglei Zhang , Francesco Cricri , Hamed R. Tavakoli , Nannan Zou , Emre Aksu , Miska M. Hannuksela

Modern compression algorithms exploit complex structures that are present in signals to describe them very efficiently. On the other hand, the field of compressed sensing is built upon the observation that "structured" signals can be…

Information Theory · Computer Science 2016-01-08 Farideh Ebrahim Rezagah , Shirin Jalali , Elza Erkip , H. Vincent Poor

Source localization by matched-field processing (MFP) generally involves solving a number of computationally intensive partial differential equations. This paper introduces a technique that mitigates this computational workload by…

Information Theory · Computer Science 2015-05-30 William Mantzel , Justin Romberg , Karim Sabra

Compressed Sensing decoding algorithms can efficiently recover an N dimensional real-valued vector x to within a factor of its best k-term approximation by taking m = 2klog(N/k) measurements y = Phi x. If the sparsity or approximate…

Numerical Analysis · Mathematics 2008-12-09 Rachel Ward

An improved inference method for densely connected systems is presented. The approach is based on passing condensed messages between variables, representing macroscopic averages of microscopic messages. We extend previous work that showed…

Information Theory · Computer Science 2009-11-11 Juan P. Neirotti , David Saad

In this paper, a communication-efficient federated learning (FL) framework is proposed for improving the convergence rate of FL under a limited uplink capacity. The central idea of the proposed framework is to transmit the values and…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Jaewon Yun , Yongjeong Oh , Yo-Seb Jeon , H. Vincent Poor

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu