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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

Service providers must encode a large volume of noisy videos to meet the demand for user-generated content (UGC) in online video-sharing platforms. However, low-quality UGC challenges conventional codecs based on rate-distortion…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Samuel Fernández-Menduiña , Xin Xiong , Eduardo Pavez , Antonio Ortega , Neil Birkbeck , Balu Adsumilli

Organisms have to keep track of the information in the environment that is relevant for adaptive behaviour. Transmitting information in an economical and efficient way becomes crucial for limited-resourced agents living in high-dimensional…

Artificial Intelligence · Computer Science 2024-09-16 Miguel de Llanza Varona , Christopher L. Buckley , Beren Millidge

Lossy compression algorithms are typically designed to achieve the lowest possible distortion at a given bit rate. However, recent studies show that pursuing high perceptual quality would lead to increase of the lowest achievable distortion…

Information Theory · Computer Science 2021-06-15 Zeyu Yan , Fei Wen , Rendong Ying , Chao Ma , Peilin Liu

We consider the Cascade and Triangular rate-distortion problems where the same side information is available at the source node and User 1, and the side information available at User 2 is a degraded version of the side information at the…

Information Theory · Computer Science 2010-10-20 Yeow Khiang Chia , Haim Permuter , Tsachy Weissman

Perception-distortion trade-off is well-understood for single-image super-resolution. However, its extension to video super-resolution (VSR) is not straightforward, since popular perceptual measures only evaluate naturalness of spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-07-06 Nasrin Rahimi , A. Murat Tekalp

This paper deals with the computation of a non-asymptotic lower bound by means of the nonanticipative rate-distortion function (NRDF) on the discrete-time zero-delay variable-rate lossy compression problem for discrete Markov sources with…

Information Theory · Computer Science 2024-11-19 Zixuan He , Charalambos D. Charalambous , Photios A. Stavrou

While 3D Gaussian splatting (3DGS) offers explicit and efficient scene representations for cone-beam computed tomography reconstruction, conventional photometric optimization inherently suffers from spectral bias under ultra sparse-view…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Jian Lin , Jiancheng Fang , Shaoyu Wang , Changan Lai , Yikun Zhang , Yang Chen , Qiegen Liu

Convolutional neural network (CNN) based methods have recently achieved great success for image super-resolution (SR). However, most deep CNN based SR models attempt to improve distortion measures (e.g. PSNR, SSIM, IFC, VIF) while resulting…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Subeesh Vasu , Nimisha Thekke Madam , Rajagopalan A. N

This paper analyzes the joint Rate Distortion Function (RDF) of correlated multivariate Gaussian sources with individual square-error distortions. Leveraging Hotelling's canonical variable form, presented is a closed-form characterization…

Information Theory · Computer Science 2025-08-25 Evagoras Stylianou , Charalambos D. Charalambous , Themistoklis Charalambous

We study the tensor-on-tensor regression, where the goal is to connect tensor responses to tensor covariates with a low Tucker rank parameter tensor/matrix without the prior knowledge of its intrinsic rank. We propose the Riemannian…

Statistics Theory · Mathematics 2024-01-17 Yuetian Luo , Anru R. Zhang

A general expression for the distortion rate function (DRF) of cyclostationary Gaussian processes in terms of their spectral properties is derived. This expression can be seen as the result of orthogonalization over the different components…

Information Theory · Computer Science 2016-08-11 Alon Kipnis , Andrea J. Goldsmith , Yonina C. Eldar

We consider a source coding problem with a network scenario in mind, and formulate it as a remote vector Gaussian Wyner-Ziv problem under covariance matrix distortions. We define a notion of minimum for two positive-definite matrices based…

Information Theory · Computer Science 2016-11-03 Adel Zahedi , Jan Østergaard , Søren Holdt Jensen , Patrick A. Naylor , Søren Bech

The multivariate Gaussian rate-distortion (RD) function is crucial in various applications, such as digital communications, data storage, or neural networks. However, the complex form of the multivariate Gaussian RD function prevents its…

Information Theory · Computer Science 2025-06-24 Zhenglin Huang , Qifa Yan , Bin Dai , Xiaohu Tang

For the HB problem with the CR constraint, the rate-distortion function is derived under the assumption that the side information sequences are (stochastically) degraded. The rate-distortion function is also calculated explicitly for three…

Information Theory · Computer Science 2016-11-18 Behzad Ahmadi , Ravi Tandon , Osvaldo Simeone , H. Vincent Poor

The rate-distortion (RD) theory is one of the key concepts in information theory, providing theoretical limits for compression performance and guiding the source coding design, with both theoretical and practical significance. The…

Information Theory · Computer Science 2025-07-28 Shitong Wu , Sicheng Xu , Lingyi Chen , Huihui Wu , Wenyi Zhang

The relation between rate distortion function (RDF) and Bayesian filtering theory is discussed. The relation is established by imposing a causal or realizability constraint on the reconstruction conditional distribution of the RDF, leading…

Information Theory · Computer Science 2012-04-16 Photios A. Stavrou , Charalambos D. Charalambous , Christos K. Kourtellaris

We derive fundamental accuracy limits for distributed localization when a fusion center has access only to independently rate-distortion (RD)-optimally compressed versions of multi-sensor observations, under a line-of-sight propagation…

Information Theory · Computer Science 2026-03-31 Amir Weiss

Rate-distortion formulation is the information-theoretic approach to the study of signal encoding systems. Since a more general approach to model the nonstationarity exhibited by real-world signals is to use appropriately fitted time…

Information Theory · Computer Science 2019-11-01 Jia-Chyi Wu

In this work we investigate the behavior of the minimal rate needed in order to guarantee a given probability that the distortion exceeds a prescribed threshold, at some fixed finite quantization block length. We show that the excess coding…

Information Theory · Computer Science 2011-02-15 Amir Ingber , Yuval Kochman