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An efficient coding theorem via probabilistic representations and its applications
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Lu, Zhenjian and Oliveira, Igor C. (2021) An efficient coding theorem via probabilistic representations and its applications. In: International Colloquium on Automata, Languages and Programming (ICALP), Virtual conference, 12-16 Jul 2021. Published in: 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), 198 94:1-94:20. ISBN 9783959771955. doi:10.4230/LIPIcs.ICALP.2021.94 ISSN 1868-8969.
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Official URL: https://doi.org/10.4230/LIPIcs.ICALP.2021.94
Abstract
A probabilistic representation of a string x ∈ {0,1}ⁿ is given by the code of a randomized algorithm that outputs x with high probability [Igor C. Oliveira, 2019]. We employ probabilistic representations to establish the first unconditional Coding Theorem in time-bounded Kolmogorov complexity. More precisely, we show that if a distribution ensemble
Item Type: | Conference Item (Paper) | ||||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||||
Library of Congress Subject Headings (LCSH): | Coding theory, Computational complexity, Bayesian statistical decision theory -- Data processing, Electronic data processing, Data structures (Computer science), Statistical communication theory, Kolmogorov complexity | ||||||
Series Name: | Leibniz International Proceedings in Informatics (LIPIcs) | ||||||
Journal or Publication Title: | 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021) | ||||||
Publisher: | Leibniz International Proceedings in Informatics | ||||||
ISBN: | 9783959771955 | ||||||
ISSN: | 1868-8969 | ||||||
Official Date: | 2 July 2021 | ||||||
Dates: |
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Volume: | 198 | ||||||
Page Range: | 94:1-94:20 | ||||||
DOI: | 10.4230/LIPIcs.ICALP.2021.94 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 18 May 2021 | ||||||
Date of first compliant Open Access: | 18 May 2021 | ||||||
RIOXX Funder/Project Grant: |
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Conference Paper Type: | Paper | ||||||
Title of Event: | International Colloquium on Automata, Languages and Programming (ICALP) | ||||||
Type of Event: | Conference | ||||||
Location of Event: | Virtual conference | ||||||
Date(s) of Event: | 12-16 Jul 2021 | ||||||
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