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Querying Policies Based on Sparse Matrices for Noisy 20 Questions

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Abstract

This paper shows that the error probability of a querying policy for noisy 20 questions is upper bounded by the minimum Hamming distance of its querying matrix. Following this distance principle, sparse querying matrices with the row-column constraint are constructed for the scenarios, where only limited areas can be detected at each querying round. It demonstrates that the row-column constraint promises a large minimum distance to ensure low error probability of queries. Moreover, the proposed sparse matrices with random block coding provide unequal error-protection capability to further improve the querying accuracy under the scenarios of detecting half of the areas. Simulation results verify that the quantized mean squared errors of our proposed policies outperform those of the existing policies under the above scenarios.

Original languageEnglish
Title of host publication2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2409-2413
Number of pages5
ISBN (Electronic)9781538692912
DOIs
StatePublished - Jul 2019
Event2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France
Duration: 7 Jul 201912 Jul 2019

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2019-July
ISSN (Print)2157-8095

Conference

Conference2019 IEEE International Symposium on Information Theory, ISIT 2019
Country/TerritoryFrance
CityParis
Period7/07/1912/07/19

Keywords

  • Hamming distance
  • Noisy 20 questions
  • quantized mean squared error
  • querying policies
  • sparse matrices

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