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We study the continuous vector-valued Witsenhausen counterexample through the lens of empirical coordination coding. We characterize the region of achievable pairs of costs in three scenarios: (i) causal encoding and causal decoding, (ii)…

Information Theory · Computer Science 2024-08-07 Mengyuan Zhao , Maël Le Treust , Tobias J. Oechtering

The vector-valued extension of the famous Witsenhausen counterexample setup is studied where the encoder, i.e. the first decision maker, non-causally knows and encodes the i.i.d. state sequence and the decoder, i.e. the second decision…

Information Theory · Computer Science 2022-11-18 Maël Le Treust , Tobias Oechtering

Recently, a vector version of Witsenhausen's counterexample was considered and it was shown that in that limit of infinite vector length, certain quantization-based control strategies are provably within a constant factor of the optimal…

Information Theory · Computer Science 2016-11-17 Pulkit Grover , Se Yong Park , Anant Sahai

We provide a novel upper-bound on Witsenhausen's rate, the rate required in the zero-error analogue of the Slepian-Wolf problem; our bound is given in terms of a new information-theoretic functional defined on a certain graph. We then use…

Information Theory · Computer Science 2010-01-25 Benjamin G. Kelly , Aaron B. Wagner

This paper proposes a numerical method, based on information theoretic ideas, to a class of distributed control problems. As a particular test case, the well-known and numerically "over-mined" problem of decentralized control and implicit…

Information Theory · Computer Science 2014-02-05 Mustafa Mehmetoglu , Emrah Akyol , Kenneth Rose

We propose a zero estimation cost (ZEC) scheme for causal-encoding noncausal-decoding vector-valued Witsenhausen counterexample based on the coordination coding result. In contrast to source coding, our goal is to communicate a controlled…

Information Theory · Computer Science 2025-04-28 Mengyuan Zhao , Tobias J. Oechtering , Maël Le Treust

We develop a novel source coding strategy for sampling and monitoring of a Wiener process. For the encoding process, we employ a four level ``quantization'' scheme, which employs monotone function thresholds as opposed to fixed constant…

Information Theory · Computer Science 2025-04-03 Sahan Liyanaarachchi , Ismail Cosandal , Sennur Ulukus

A new coding technique, based on \textit{fixed block-length} codes, is proposed for the problem of communicating a pair of correlated sources over a $2-$user interference channel. Its performance is analyzed to derive a new set of…

Information Theory · Computer Science 2017-02-08 Arun Padakandla

We present and analyze a joint source-channel coding strategy for the transmission of a Gaussian source across a Gaussian channel in n channel uses per source symbol. Among all such strategies, our scheme has the following properties: i)…

Information Theory · Computer Science 2016-11-18 Marius Kleiner , Bixio Rimoldi

We consider a discrete version of the Witsenhausen problem where all random variables are bounded and take on integer values. Our main goal is to understand the complexity of computing good strategies given the distributions for the initial…

Optimization and Control · Mathematics 2019-04-12 Alex Olshevsky

We consider the problem of multicasting information from a source to a set of receivers over a network where intermediate network nodes perform randomized network coding operations on the source packets. We propose a channel model for the…

Information Theory · Computer Science 2010-11-17 Mahdi Jafari Siavoshani , Soheil Mohajer , Christina Fragouli , Suhas Diggavi

Our understanding of information in systems has been based on the foundation of memoryless processes. Extensions to stable Markov and auto-regressive processes are classical. Berger proved a source coding theorem for the marginally unstable…

Information Theory · Computer Science 2007-12-06 Anant Sahai , Sanjoy Mitter

We consider the problem of information embedding where the encoder modifies a white Gaussian host signal in a power-constrained manner to encode the message, and the decoder recovers both the embedded message and the modified host signal.…

Information Theory · Computer Science 2016-11-17 Pulkit Grover , Aaron B. Wagner , Anant Sahai

The problem of joint source-channel coding is considered for a stationary remote (noisy) Gaussian source and a Gaussian channel. The encoder and decoder are assumed to be causal and their combined operations are subject to a delay…

Information Theory · Computer Science 2012-03-29 Erik Johannesson , Anders Rantzer , Bo Bernhardsson , Andrey Ghulchak

In this paper, we consider finite model approximations of a large class of static and dynamic team problems where these models are constructed through uniform quantization of the observation and action spaces of the agents. The strategies…

Optimization and Control · Mathematics 2016-01-05 Naci Saldi , Serdar Yüksel , Tamás Linder

This note studies the global optimization of controller mappings in discrete-time stochastic control problems including Witsenhausen's celebrated 1968 counter-example. We propose a generally applicable non-convex numerical optimization…

Systems and Control · Computer Science 2016-07-12 Mustafa Mehmetoglu , Emrah Akyol , Kenneth Rose

Zero-error single-channel source coding has been studied extensively over the past decades. Its natural multi-channel generalization is however not well investigated. While the special case with multiple symmetric-alphabet channels was…

Information Theory · Computer Science 2021-05-11 Hoover H. F. Yin , Xishi Wang , Ka Hei Ng , Russell W. F. Lai , Lucien K. L. Ng , Jack P. K. Ma

The problem of reliable transmission of correlated sources over the broadcast channel, originally studied by Han and Costa, is revisited. An alternative characterization of their sufficient condition for reliable transmission is given,…

Information Theory · Computer Science 2009-12-22 Paolo Minero , Young-Han Kim

We consider the problem of information embedding where the encoder modifies a white Gaussian host signal in a power-constrained manner to encode a message, and the decoder recovers both the embedded message and the modified host signal.…

Information Theory · Computer Science 2016-11-15 Pulkit Grover , Aaron B. Wagner , Anant Sahai

This paper studies an almost-lossless source-channel coding scheme in which source messages are assigned to different classes and encoded with a channel code that depends on the class index. The code performance is analyzed by means of…

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