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Communication of quantized information is frequently followed by a computation. We consider situations of \emph{distributed functional scalar quantization}: distributed scalar quantization of (possibly correlated) sources followed by…

Information Theory · Computer Science 2015-01-20 Vinith Misra , Vivek K Goyal , Lav R. Varshney

We consider a worst-case asymmetric distributed source coding problem where an information sink communicates with $N$ correlated information sources to gather their data. A data-vector $\bar{x} = (x_1, ..., x_N) \sim {\mathcal P}$ is…

Information Theory · Computer Science 2013-01-03 Samar Agnihotri , Rajesh Venkatachalapathy

We introduce a universal quantization scheme based on random coding, and we analyze its performance. This scheme consists of a source-independent random codebook (typically_mismatched_ to the source distribution), followed by optimal…

Information Theory · Computer Science 2007-07-13 Ioannis Kontoyiannis , Rami Zamir

In this paper, channel optimized distributed multiple description vector quantization (CDMD) schemes are presented for distributed source coding in symmetric and asymmetric settings. The CDMD encoder is designed using a deterministic…

Information Theory · Computer Science 2015-05-20 Mehrdad Valipour , Farshad Lahouti

We consider the problem of multiple description scalar quantizers and describing the achievable rate-distortion tuples in that setting. We formulate it as a combinatorial optimization problem of arranging numbers in a matrix to minimize the…

Data Structures and Algorithms · Computer Science 2007-05-23 Tanya Y. Berger-Wolf , Edward M. Reingold

Optimal quantization for mixed distributions has emerged as a compelling area of study. In this work, we have focused on a mixed distribution formed from two uniform distributions with partially overlapping supports. For this class of…

We consider a binary erasure version of the n-channel multiple descriptions problem with symmetric descriptions, i.e., the rates of the n descriptions are the same and the distortion constraint depends only on the number of messages…

Information Theory · Computer Science 2016-11-15 Ebad Ahmed , Aaron B. Wagner

The class of complex random vectors whose covariance matrix is linearly parameterized by a basis of Hermitian Toeplitz (HT) matrices is considered, and the maximum compression ratios that preserve all second-order information are derived…

Statistics Theory · Mathematics 2016-11-15 Daniel Romero , Roberto Lopez-Valcarce , Geert Leus

We introduce conferencing-based distributed channel quantizers for two-user interference networks where interference signals are treated as noise. Compared with the conventional distributed quantizers where each receiver quantizes its own…

Information Theory · Computer Science 2014-04-01 Xiaoyi Leo Liu , Erdem Koyuncu , Hamid Jafarkhani

In realistic distributed optimization scenarios, individual nodes possess only partial information and communicate over bandwidth constrained channels. For this reason, the development of efficient distributed algorithms is essential. In…

Systems and Control · Electrical Eng. & Systems 2024-10-21 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

The nearest lattice point problem in $\mathbb{R}^n$ is formulated in a distributed network with $n$ nodes. The objective is to minimize the probability that an incorrect lattice point is found, subject to a constraint on inter-node…

Information Theory · Computer Science 2024-09-17 V. A. Vaishampayan , M. F. Bollauf

We consider the problem of distributed estimation under the Bayesian criterion and explore the design of optimal quantizers in such a system. We show that, for a conditionally unbiased and efficient estimator at the fusion center and when…

Information Theory · Computer Science 2015-06-22 Aditya Vempaty , Hao He , Biao Chen , Pramod K. Varshney

This paper explores the process of optimal quantization for several types of discrete probability distributions. Quantization is a technique used to approximate a complex distribution with a smaller set of representative points, which is…

Probability · Mathematics 2025-07-16 Russel Cabasag , Samir Huq , Eric Mendoza , Mrinal Kanti Roychowdhury

Quantization for a probability distribution refers to the idea of estimating a given probability by a discrete probability supported by a finite number of points. In this paper, firstly a general approach to this process is outlined using…

Probability · Mathematics 2022-01-26 Joseph Rosenblatt , Mrinal Kanti Roychowdhury

This work investigates linear precoding over non-singular linear channels with additive white Gaussian noise, with lattice-type inputs. The aim is to maximize the minimum distance of the received lattice points, where the precoder is…

Information Theory · Computer Science 2012-04-10 D. Kapetanovic , H. V. Cheng , W. H. Mow , F. Rusek

Variable-length compression without prefix-free constraints and with side-information available at both encoder and decoder is considered. Instead of requiring the code to be error-free, we allow for it to have a non-vanishing error…

Information Theory · Computer Science 2020-08-24 Yuta Sakai , Vincent Y. F. Tan

We consider the problem of rate/distortion with side information available only at the decoder. For the case of jointly-Gaussian source X and side information Y, and mean-squared error distortion, Wyner proved in 1976 that the…

Information Theory · Computer Science 2007-07-16 Sergio D. Servetto

The problem of determining the best achievable performance of arbitrary lossless compression algorithms is examined, when correlated side information is available at both the encoder and decoder. For arbitrary source-side information pairs,…

Information Theory · Computer Science 2020-07-15 Lampros Gavalakis , Ioannis Kontoyiannis

In this paper, we investigate the problem of classifying feature vectors with mutually independent but non-identically distributed elements. First, we show the importance of this problem. Next, we propose a classifier and derive an…

Machine Learning · Computer Science 2021-09-01 Farzad Shahrivari , Nikola Zlatanov

We consider multiple description coding for the Gaussian source with K descriptions under the symmetric mean squared error distortion constraints, and provide an approximate characterization of the rate region. We show that the rate region…

Information Theory · Computer Science 2016-11-15 Chao Tian , Soheil Mohajer , Suhas N. Diggavi