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Traditionally, data compression deals with the problem of concisely representing a data source, e.g. a sequence of letters, for the purpose of eventual reproduction (either exact or approximate). In this work we are interested in the case…

Information Theory · Computer Science 2013-12-10 Amir Ingber , Tsachy Weissman

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

Information Theory · Computer Science 2010-01-26 Galen Reeves , Michael Gastpar

A change of the prevalent supervised learning techniques is foreseeable in the near future: from the complex, computational expensive algorithms to more flexible and elementary training ones. The strong revitalization of randomized…

Machine Learning · Computer Science 2022-09-02 Antonello Rosato , Massimo Panella , Evgeny Osipov , Denis Kleyko

Perception-aware lossy source coding has attracted significant recent interest. It augments the classical distortion criterion with an explicit perception constraint, thereby enabling more refined control over fidelity and perceptual…

Information Theory · Computer Science 2026-04-22 Ali Hussein , Jun Chen , Chao Tian , S. Sandeep Pradhan

Predictive coding is attractive for compression onboard of spacecrafts thanks to its low computational complexity, modest memory requirements and the ability to accurately control quality on a pixel-by-pixel basis. Traditionally, predictive…

Information Theory · Computer Science 2014-01-15 Diego Valsesia , Enrico Magli

Blau and Michaeli recently introduced a novel concept for inverse problems of signal processing, that is, the perception-distortion tradeoff. We introduce their tradeoff into the rate distortion theory of variable-length lossy source coding…

Information Theory · Computer Science 2019-02-12 Ryutaroh Matsumoto

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

Information Theory · Computer Science 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

Deep neural networks have recently advanced the state-of-the-art in image compression and surpassed many traditional compression algorithms. The training of such networks involves carefully trading off entropy of the latent representation…

Image and Video Processing · Electrical Eng. & Systems 2020-11-03 Maurice Weber , Cedric Renggli , Helmut Grabner , Ce Zhang

Recent advances in Rate-Distortion-Perception (RDP) theory highlight the importance of balancing compression level, reconstruction quality, and perceptual fidelity. While previous work has explored numerical approaches to approximate the…

Information Theory · Computer Science 2025-08-20 Chunhui Chen , Linyi Chen , Xueyan Niu , Hao Wu

The article addresses the problem of image sampling with minimal possible sampling rates and reviews the recent advances in sampling theory and methods: modern formulations of the sampling theorems, potentials and limitations of Compressed…

Image and Video Processing · Electrical Eng. & Systems 2021-10-19 L. Yaroslavsky

Camera sensors have been widely used in intelligent robotic systems. Developing camera sensors with high sensing efficiency has always been important to reduce the power, memory, and other related resources. Inspired by recent success on…

Image and Video Processing · Electrical Eng. & Systems 2023-10-11 Bowen Zhang , Zhijin Qin , Geoffrey Ye Li

We investigate lossy compression (source coding) of data in the form of permutations. This problem has direct applications in the storage of ordinal data or rankings, and in the analysis of sorting algorithms. We analyze the rate-distortion…

Information Theory · Computer Science 2016-11-18 Da Wang , Arya Mazumdar , Gregory Wornell

Whenever inspected by humans, reconstructed signals should not be distinguished from real ones. Typically, such a high perceptual quality comes at the price of high reconstruction error, and vice versa. We study this distortion-perception…

Information Theory · Computer Science 2024-02-06 Dror Freirich , Nir Weinberger , Ron Meir

Finite abstractions are discrete approximations of dynamical systems, such that the set of abstraction trajectories contains all system trajectories. There is a consensus that abstractions suffer from the curse of dimensionality: for the…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Giannis Delimpaltadakis , Gabriel Gleizer

We describe a search-free resizing framework that can further improve the rate-distortion tradeoff of recent learned image compression models. Our approach is simple: compose a pair of differentiable downsampling/upsampling layers that…

Image and Video Processing · Electrical Eng. & Systems 2022-04-27 Li-Heng Chen , Christos G. Bampis , Zhi Li , Lukáš Krasula , Alan C. Bovik

In this work, we introduce a new procedure for applying Restricted Boltzmann Machines (RBMs) to missing data inference tasks, based on linearization of the effective energy function governing the distribution of observations. We compare the…

Machine Learning · Computer Science 2019-10-22 Chris Cannella , Jie Ding , Mohammadreza Soltani , Vahid Tarokh

Despite a short history, neural image codecs have been shown to surpass classical image codecs in terms of rate-distortion performance. However, most of them suffer from significantly longer decoding times, which hinders the practical…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Yixin Gao , Runsen Feng , Zongyu Guo , Zhibo Chen

In recent years, there has been a sharp increase in transmission of images to remote servers specifically for the purpose of computer vision. In many applications, such as surveillance, images are mostly transmitted for automated analysis,…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Alon Harell , Anderson De Andrade , Ivan V. Bajic

Recently, the field of Image Coding for Machines (ICM) has garnered heightened interest and significant advances thanks to the rapid progress of learning-based techniques for image compression and analysis. Previous studies often require…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Jinming Liu , Ruoyu Feng , Yunpeng Qi , Qiuyu Chen , Zhibo Chen , Wenjun Zeng , Xin Jin

Recovery of the sparsity pattern (or support) of an unknown sparse vector from a limited number of noisy linear measurements is an important problem in compressed sensing. In the high-dimensional setting, it is known that recovery with a…

Information Theory · Computer Science 2012-06-26 Galen Reeves , Michael Gastpar
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