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In this paper we consider the lossy compression of a binary symmetric source. We present a scheme that provides a low complexity lossy compressor with near optimal empirical performance. The proposed scheme is based on b-reduced…

Information Theory · Computer Science 2016-11-18 Alfredo Braunstein , Farbod Kayhan , Riccardo Zecchina

Sparse tensors appear frequently in distributed deep learning, either as a direct artifact of the deep neural network's gradients, or as a result of an explicit sparsification process. Existing communication primitives are agnostic to the…

Machine Learning · Computer Science 2021-02-08 Kelly Kostopoulou , Hang Xu , Aritra Dutta , Xin Li , Alexandros Ntoulas , Panos Kalnis

We consider the following communication task in the multi-party setting, which involves a joint random variable $XYZMN$ with the property that $M$ is independent of $YZN$ conditioned on $X$ and $N$ is independent of $XZM$ conditioned on…

Information Theory · Computer Science 2020-03-24 Anurag Anshu , Penghui Yao

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

This paper proposes a fast approximate message-passing (AMP) algorithm for solving compressed sensing (CS) recovery problems with 1D-finite-difference sparsity in term of MMSE estimation. The proposed algorithm, named ssAMP-BGFD, is…

Information Theory · Computer Science 2015-09-07 Jaewook Kang , Hyoyoung Jung , Heung-No Lee , Kiseon Kim

Communicating information, like gradient vectors, between computing nodes in distributed and federated learning is typically an unavoidable burden, resulting in scalability issues. Indeed, communication might be slow and costly. Recent…

Machine Learning · Computer Science 2020-10-08 Alyazeed Albasyoni , Mher Safaryan , Laurent Condat , Peter Richtárik

The rapid growth of digital data has heightened the demand for efficient lossless compression methods. However, existing algorithms exhibit trade-offs: some achieve high compression ratios, others excel in encoding or decoding speed, and…

Information Theory · Computer Science 2025-10-01 Md. Atiqur Rahman , MM Fazle Rabbi

Today's HPC applications are producing extremely large amounts of data, such that data storage and analysis are becoming more challenging for scientific research. In this work, we design a new error-controlled lossy compression algorithm…

Information Theory · Computer Science 2017-06-14 Dingwen Tao , Sheng Di , Zizhong Chen , Franck Cappello

We propose computationally efficient encoders and decoders for lossy compression using a Sparse Regression Code. The codebook is defined by a design matrix and codewords are structured linear combinations of columns of this matrix. The…

Information Theory · Computer Science 2014-05-20 Ramji Venkataramanan , Tuhin Sarkar , Sekhar Tatikonda

Compressed sensing (CS) deals with the problem of reconstructing a sparse vector from an under-determined set of observations. Approximate message passing (AMP) is a technique used in CS based on iterative thresholding and inspired by…

Signal Processing · Electrical Eng. & Systems 2019-07-12 Viktoria Schram , Ali Bereyhi , Jan-Nico Zaech , Ralf R. Müller , Wolfgang H. Gerstacker

Lossy image compression is a many-to-one process, thus one bitstream corresponds to multiple possible original images, especially at low bit rates. However, this nature was seldom considered in previous studies on image compression, which…

Image and Video Processing · Electrical Eng. & Systems 2021-10-01 Haichuan Ma , Dong Liu , Cunhui Dong , Li Li , Feng Wu

This paper surveys recent work in applying ideas from graphical models and message passing algorithms to solve large scale regularized regression problems. In particular, the focus is on compressed sensing reconstruction via ell_1 penalized…

Information Theory · Computer Science 2015-03-17 Andrea Montanari

Over the last few years, machine learning unlocked previously infeasible features for compression, such as providing guarantees for users' privacy or tailoring compression to specific data statistics (e.g., satellite images or audio…

Information Theory · Computer Science 2026-03-25 Gergely Flamich

The multi-user linearly-separable distributed computing problem is considered here, in which $N$ servers help to compute the real-valued functions requested by $K$ users, where each function can be written as a linear combination of up to…

Information Theory · Computer Science 2023-01-10 Ali Khalesi , Sajad Daei , Marios Kountouris , Petros Elia

We consider iterative (`turbo') algorithms for compressed sensing. First, a unified exposition of the different approaches available in the literature is given, thereby enlightening the general principles and main differences. In particular…

Information Theory · Computer Science 2017-05-22 Robert F. H. Fischer , Susanne Sparrer

Massive multiple-input multiple-output (MIMO) is a promising approach for cellular communication due to its energy efficiency and high achievable data rate. These advantages, however, can be realized only when channel state information…

Information Theory · Computer Science 2015-04-01 Min Soo Sim , Jeonghun Park , Chan-Byoung Chae , Robert W. Heath

This letter proposes a novel distributed compressed estimation scheme for sparse signals and systems based on compressive sensing techniques. The proposed scheme consists of compression and decompression modules inspired by compressive…

Information Theory · Computer Science 2015-02-05 S. Xu , R. C. de Lamare , H. V. Poor

We propose and study a new class of gradient communication mechanisms for communication-efficient training -- three point compressors (3PC) -- as well as efficient distributed nonconvex optimization algorithms that can take advantage of…

Machine Learning · Computer Science 2022-02-03 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin , Elnur Gasanov , Zhize Li , Eduard Gorbunov

In this paper, we present a communication-efficient federated learning framework inspired by quantized compressed sensing. The presented framework consists of gradient compression for wireless devices and gradient reconstruction for a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Yongjeong Oh , Namyoon Lee , Yo-Seb Jeon , H. Vincent Poor

Time series data from a variety of sensors and IoT devices need effective compression to reduce storage and I/O bandwidth requirements. While most time series databases and systems rely on lossless compression, lossy techniques offer even…

Databases · Computer Science 2025-01-27 Carlos Enrique Muñiz-Cuza , Matthias Boehm , Torben Bach Pedersen
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