English
Related papers

Related papers: Joint Lossy Compression for a Vector Gaussian Sour…

200 papers

Classical rate-distortion theory requires knowledge of an elusive source distribution. Instead, we analyze rate-distortion properties of individual objects using the recently developed algorithmic rate-distortion theory. The latter is based…

Information Theory · Computer Science 2007-07-16 Steven de Rooij , Paul Vitanyi

Neural compression has brought tremendous progress in designing lossy compressors with good rate-distortion (RD) performance at low complexity. Thus far, neural compression design involves transforming the source to a latent vector, which…

Information Theory · Computer Science 2025-07-15 Eric Lei , Hamed Hassani , Shirin Saeedi Bidokhti

3D Gaussian Splatting (GS) demonstrates excellent rendering quality and generation speed in novel view synthesis. However, substantial data size poses challenges for storage and transmission, making 3D GS compression an essential…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 He Huang , Wenjie Huang , Qi Yang , Yiling Xu , Zhu li

The rate-distortion function (RDF) has long been an information-theoretic benchmark for data compression. As its natural extension, the indirect rate-distortion function (iRDF) corresponds to the scenario where the encoder can only access…

Information Theory · Computer Science 2025-03-11 Zichao Yu , Qiang Sun , Wenyi Zhang

Accurate modelling of redshift-space distortions (RSD) is challenging in the non-linear regime for two-point statistics e.g. the two-point correlation function (2PCF). We take a different perspective to split the galaxy density field…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Enrique Paillas , Yan-Chuan Cai , Nelson Padilla , Ariel Sánchez

The additive rate-distortion function (ARDF) was developed in order to universally bound the rate loss in the Wyner-Ziv problem, and has since then been instrumental in e.g., bounding the rate loss in successive refinements, universal…

Information Theory · Computer Science 2011-05-26 Jan Ostergaard , Ram Zamir

In this paper the multicasting of independent parallel Gaussian sources over a binary erasure broadcasted channel is considered. Multiresolution embedded quantizer and layered joint source-channel coding schemes are used in order to serve…

Information Theory · Computer Science 2009-01-19 Ozgun Y. Bursalioglu , Maria Fresia , Giuseppe Caire , H. Vincent Poor

By optimizing the rate-distortion-realism trade-off, generative compression approaches produce detailed, realistic images, even at low bit rates, instead of the blurry reconstructions produced by rate-distortion optimized models. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Eirikur Agustsson , David Minnen , George Toderici , Fabian Mentzer

This paper finds new tight finite-blocklength bounds for the best achievable lossy joint source-channel code rate, and demonstrates that joint source-channel code design brings considerable performance advantage over a separate one in the…

Information Theory · Computer Science 2014-02-05 Victoria Kostina , Sergio Verdú

Rate-distortion (R-D) function, a key quantity in information theory, characterizes the fundamental limit of how much a data source can be compressed subject to a fidelity criterion, by any compression algorithm. As researchers push for…

Information Theory · Computer Science 2022-03-14 Yibo Yang , Stephan Mandt

We study the problem of distributed and rate-adaptive feature compression for linear regression. A set of distributed sensors collect disjoint features of regressor data. A fusion center is assumed to contain a pretrained linear regression…

Information Theory · Computer Science 2024-04-04 Aditya Deshmukh , Venugopal V. Veeravalli , Gunjan Verma

Realism constraints (or constraints on perceptual quality) have received considerable recent attention within the context of lossy compression, particularly of images. Theoretical studies of lossy compression indicate that high-rate common…

Information Theory · Computer Science 2025-11-20 Yassine Hamdi , Aaron B. Wagner , Deniz Gündüz

We consider a Shannon cipher system for memoryless sources, in which distortion is allowed at the legitimate decoder. The source is compressed using a rate distortion code secured by a shared key, which satisfies a constraint on the…

Information Theory · Computer Science 2016-11-17 Nir Weinberger , Neri Merhav

We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those…

Information Theory · Computer Science 2007-07-13 Nan Liu , Sennur Ulukus

While Dynamic Gaussian Splatting enables high-fidelity 4D reconstruction, its deployment is severely hindered by a fundamental dilemma: unconstrained densification leads to excessive memory consumption incompatible with edge devices,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Zihan Zheng , Zhenglong Wu , Xuanxuan Wang , Houqiang Zhong , Xiaoyun Zhang , Qiang Hu , Guangtao Zhai , Wenjun Zhang

Sequential rate-distortion (SRD) theory provides a framework for studying the fundamental trade-off between data-rate and data-quality in real-time communication systems. In this paper, we consider the SRD problem for multi-dimensional…

Optimization and Control · Mathematics 2018-01-16 Takashi Tanaka , Kwang-Ki K. Kim , Pablo A. Parrilo , Sanjoy K. Mitter

This paper considers the problem of variable-length lossy source coding. The performance criteria are the excess distortion probability and the cumulant generating function of codeword lengths. We derive a non-asymptotic fundamental limit…

Information Theory · Computer Science 2023-12-29 Shota Saito , Toshiyasu Matsushima

The problem of joint universal source coding and modeling, addressed by Rissanen in the context of lossless codes, is generalized to fixed-rate lossy coding of continuous-alphabet memoryless sources. We show that, for bounded distortion…

Information Theory · Computer Science 2016-11-15 Maxim Raginsky

In this paper, we consider different aspects of the network functional compression problem where computation of a function (or, some functions) of sources located at certain nodes in a network is desired at receiver(s). The rate region of…

Information Theory · Computer Science 2010-12-01 Soheil Feizi , Muriel Medard

Rate-distortion optimization (RDO) of codecs, where distortion is quantified by the mean-square error, has been a standard practice in image/video compression over the years. RDO serves well for optimization of codec performance for…

Image and Video Processing · Electrical Eng. & Systems 2021-05-03 Ogun Kirmemis , A. Murat Tekalp