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Recently, there has been a lot of research into tensor singular value decomposition (t-SVD) by using discrete Fourier transform (DFT) matrix. The main aims of this paper are to propose and study tensor singular value decomposition based on…

Computer Vision and Pattern Recognition · Computer Science 2019-02-11 Wen-Hao Xu , Xi-Le Zhao , Michael Ng

The design of zero-delay Joint Source-Channel Coding (JSCC) schemes for the transmission of correlated information over fading Multiple Access Channels (MACs) is an interesting problem for many communication scenarios like Wireless Sensor…

Information Theory · Computer Science 2024-01-31 O. Fresnedo , P. Suárez-Casal , L. Castedo

Long Reed-Solomon (RS) codes are desirable for digital communication and storage systems due to their improved error performance, but the high computational complexity of their decoders is a key obstacle to their adoption in practice. As…

Information Theory · Computer Science 2015-05-30 Xuebin Wu , Zhiyuan Yan

In image and video coding applications, distortion has been traditionally measured using mean square error (MSE), which suggests the use of orthogonal transforms, such as the discrete cosine transform (DCT). Perceptual metrics such as…

Image and Video Processing · Electrical Eng. & Systems 2020-02-21 Keng-Shih Lu , Antonio Ortega , Debargha Mukherjee , Yue Chen

We propose a versatile deep image compression network based on Spatial Feature Transform (SFT arXiv:1804.02815), which takes a source image and a corresponding quality map as inputs and produce a compressed image with variable rates. Our…

Image and Video Processing · Electrical Eng. & Systems 2021-08-24 Myungseo Song , Jinyoung Choi , Bohyung Han

The computational efficiency of many neural operators, widely used for learning solutions of PDEs, relies on the fast Fourier transform (FFT) for performing spectral computations. As the FFT is limited to equispaced (rectangular) grids,…

This work investigates functional source coding problems with maximal distortion, motivated by approximate function computation in many modern applications. The maximal distortion treats imprecise reconstruction of a function value as good…

Information Theory · Computer Science 2022-12-29 Sourya Basu , Daewon Seo , Lav R. Varshney

This paper investigates delay-distortion-power trade offs in transmission of quasi-stationary sources over block fading channels by studying encoder and decoder buffering techniques to smooth out the source and channel variations. Four…

Information Theory · Computer Science 2015-05-05 Roghayeh Joda , Farshad Lahouti , Elza Erkip

Motivated by video coding applications, the problem of sequential coding of correlated sources with encoding and/or decoding frame-delays is studied. The fundamental tradeoffs between individual frame rates, individual frame distortions,…

Information Theory · Computer Science 2008-09-30 Nan Ma , Ye Wang , Prakash Ishwar

In this paper, we consider the mismatched rate-distortion problem, in which the encoding is done using a codebook, and the encoder chooses the minimum-distortion codeword according to a mismatched distortion function that differs from the…

Information Theory · Computer Science 2022-12-20 Millen Kanabar , Jonathan Scarlett

We study a new encoding scheme for lossy source compression based on spatially coupled low-density generator-matrix codes. We develop a belief-propagation guided-decimation algorithm, and show that this algorithm allows to approach the…

Information Theory · Computer Science 2012-02-23 Vahid Aref , Nicolas Macris , Rudiger Urbanke , Marc Vuffray

This paper studies the minimum achievable source coding rate as a function of blocklength $n$ and probability $\epsilon$ that the distortion exceeds a given level $d$. Tight general achievability and converse bounds are derived that hold at…

Information Theory · Computer Science 2016-11-15 Victoria Kostina , Sergio Verdú

The present work proposes an approach to obtain a basis-set correction based on density-functional theory (DFT) for the computation of molecular properties in wave-function theory (WFT). This approach allows one to accelerate the basis-set…

Chemical Physics · Physics 2022-05-18 Diata Traore , Julien Toulouse , Emmanuel Giner

In recent developments, deep learning (DL)-based joint source-channel coding (JSCC) for wireless image transmission has made significant strides in performance enhancement. Nonetheless, the majority of existing DL-based JSCC methods are…

Image and Video Processing · Electrical Eng. & Systems 2023-11-28 Junyu Pan , Hanlei Li , Guangyi Zhang , Yunlong Cai , Guanding Yu

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

This paper presents a novel method to determine rate-distortion optimized transform coefficients for efficient compression of videos generated from point clouds. The method exploits a generalized frequency selective extrapolation approach…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Christian Herglotz , Nils Genser , André Kaup

Differential distributed space-time coding (D-DSTC) technique has been considered for relay networks to provide both diversity gain and high throughput in the absence of channel state information. Conventional differential detection (CDD)…

Information Theory · Computer Science 2014-04-09 M. R. Avendi , Ha H. Nguyen , Nguyen Quoc-Tuan

We consider a remote source coding problem subject to a {distortion function}. Contrary to the use of the classical separable distortion criterion, herein we consider the more general, $f$-separable distortion measure and study its…

Information Theory · Computer Science 2023-05-19 Photios A. Stavrou , Yanina Shkel , Marios Kountouris

Delocalization errors, such as charge-transfer and some self-interaction errors, plague computationally-efficient and otherwise-accurate density functional approximations (DFAs). Evaluating a semi-local DFA non-self-consistently on the…

Chemical Physics · Physics 2023-01-02 Aaron D. Kaplan , Chandra Shahi , Pradeep Bhetwal , Raj K. Sah , John P. Perdew

Permutation codes are a class of structured vector quantizers with a computationally-simple encoding procedure based on sorting the scalar components. Using a codebook comprising several permutation codes as subcodes preserves the…

Information Theory · Computer Science 2015-03-13 Ha Q. Nguyen , Lav R. Varshney , Vivek K Goyal