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In decentralized network control, communication plays a critical role by transforming local observations into shared knowledge, enabling agents to coordinate their actions. This paper investigates how communication facilitates cooperation…

Information Theory · Computer Science 2025-10-08 Mengyuan Zhao , Tobias J. Oechtering , Maël Le Treust

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

In this study, we investigate a vector-valued Witsenhausen model where the second decision maker (DM) acquires a vector of observations before selecting a vector of estimations. Here, the first DM acts causally whereas the second DM…

Optimization and Control · Mathematics 2024-08-26 Mengyuan Zhao , Tobias J. Oechtering , Maël Le Treust

In 1968, Witsenhausen introduced his famous counterexample where he showed that even in the simple linear quadratic static team decision problem, complex nonlinear decisions could outperform any given linear decision. This problem has…

Optimization and Control · Mathematics 2012-05-22 Johannes Kron , Ather Gattami , Tobias J. Oechtering , Mikael Skoglund

Forward Error Correction (FEC) is used ubiquitously in the communication pipeline. We explore noncooperative decoding where we aim to recover the code rate of a linear block code. We present a metric to characterize the quality of the code…

Information Theory · Computer Science 2026-03-03 Atreya Vedantam , Radha Krishna Ganti

Probabilistic error cancellation (PEC) is unbiased but suffers exponential sampling overhead set by noise-weighted circuit volume, whereas quantum error-detecting codes (QEDCs) remove many physical faults by stabilizer post-selection but…

Quantum Physics · Physics 2026-05-13 Yi Yuan , Yuanchen Zhao , Dong E. Liu

We discuss the Witsenhausen counterexample from the perspective of varying power budgets and propose a low-power estimation (LoPE) strategy. Specifically, our LoPE approach designs the first decision-maker (DM) a quantization step function…

Optimization and Control · Mathematics 2025-09-03 Mengyuan Zhao , Maël Le Treust , Tobias J. Oechtering

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

In this paper, we consider compressed sensing (CS) of block-sparse signals, i.e., sparse signals that have nonzero coefficients occurring in clusters. An efficient algorithm, called zero-point attracting projection (ZAP) algorithm, is…

Information Theory · Computer Science 2012-03-09 Jingbo Liu , Jian Jin , Yuantao Gu

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

We consider the problem of joint source-channel coding for semantic communication from a rateless perspective, the purpose of which is to settle the balance between reliability (distortion/perception) and effectiveness (rate) of…

Information Retrieval · Computer Science 2025-01-23 Cheng Peng , Rulong Wang , Yong Xiao

In order to reduce errors, error correction codes (ECCs) need to be implemented fast. They can correct the errors corresponding to the first few orders in the Taylor expansion of the Hamiltonian of the interaction with the environment. If…

Quantum Physics · Physics 2009-11-10 Noam Erez , Yakir Aharonov , Benni Reznik , Lev Vaidman

In this paper, we consider encoding strategies for the Z-channel with noiseless feedback. We analyze the combinatorial setting where the maximum number of errors inflicted by an adversary is proportional to the number of transmissions,…

Information Theory · Computer Science 2021-02-11 Christian Deppe , Vladimir Lebedev , Georg Maringer , Nikita Polyanskii

Integrated Sensing and Communication (ISAC) systems have garnered significant attention due to their capability to simultaneously achieve efficient communication and environmental sensing. A core objective in this field is characterizing…

Information Theory · Computer Science 2026-01-16 Gefei Peng , Youlong Wu

Coding schemes are often used in high-speed processor-processor or processor-memory busses in digital systems. In particular, we have introduced (in a 2012 DesignCon paper) a zero sum (ZS) signaling method which uses balanced or…

Information Theory · Computer Science 2023-04-27 Pamela A. Riggs , Barry K. Gilbert , Erik S. Daniel

The problem of state communication over a discrete memoryless channel with discrete memoryless state is studied when the state information is available strictly causally at the encoder. It is shown that block Markov encoding, in which the…

Information Theory · Computer Science 2015-03-20 Chiranjib Choudhuri , Young-Han Kim , Urbashi Mitra

We investigate the problem of strategic point-to-point communication with side information at the decoder, in which the encoder and the decoder have mismatched distortion functions. The decoding process is not supervised, it returns the…

Information Theory · Computer Science 2020-09-18 Maël Le Treust , Tristan Tomala

This paper investigates the stochastic distributed nonconvex optimization problem of minimizing a global cost function formed by the summation of $n$ local cost functions. We solve such a problem by involving zeroth-order (ZO) information…

Optimization and Control · Mathematics 2021-10-15 Shengjun Zhang , Yunlong Dong , Dong Xie , Lisha Yao , Colleen P. Bailey , Shengli Fu

We introduce a novel blind (noncoherent) communication scheme, called modulation on conjugate-reciprocal zeros (MOCZ), to reliably transmit short binary packets over unknown finite impulse response systems as used, for example, to model…

Information Theory · Computer Science 2018-05-22 Philipp Walk , Peter Jung , Babak Hassibi
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