Improved performance bounds for the infinite-dimensional Witsenhausen problem

Molavipour, Sina; Bassi, Germán; Skoglund, Mikael

doi:10.23919/acc.2017.7963094

Cited by 2 publications

(1 citation statement)

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“…Previously, in [6] approximately lattice-based optimal solutions were obtained for the finite-length vector case. Recently, improved asymptotic bounds have been found in [12] using a new vector quantization scheme. Choudhuri and Mitra characterized the optimal power-distortion trade-off for the vector-valued Wistenhausen problem in [13], which prove the optimality of the coding scheme by Grover et al in [5] combining linear coding and Costa's dirty-paper-coding [14].…”

Section: Introductionmentioning

confidence: 99%

Optimal Control Designs for Vector-valued Witsenhausen Counterexample Setups

Treust

Oechtering

2018

2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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In this work, necessary and sufficient conditions for empirical coordination of vector-valued Witsenhausen counterexample two terminal setups with non-classical information structure are derived. Vector-valued processing allows to involve coding in the design of the control strategies. Optimal characterizations are obtained for the non-causal encoding and causal decoding case as well as causal encoding and non-causal decoding case. Necessary and sufficient conditions are provided for the case with both non-causal encoding and decoding. The feasible set of target distributions can serve as optimization domain for characterizing the optimal average cost, in particular using Witsenhausen's cost function.

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