Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Presse, Steve | - |
dc.contributor.author | Ghosh, Kingshuk | - |
dc.contributor.author | Lee, Julian | - |
dc.contributor.author | Dill, Ken A. | - |
dc.date.available | 2018-05-09T13:55:57Z | - |
dc.date.created | 2018-04-17 | - |
dc.date.issued | 2013-11-01 | - |
dc.identifier.issn | 0031-9007 | - |
dc.identifier.uri | http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/11113 | - |
dc.description.abstract | Different quantities that go by the name of entropy are used in variational principles to infer probability distributions from limited data. Shore and Johnson showed that maximizing the Boltzmann-Gibbs form of the entropy ensures that probability distributions inferred satisfy the multiplication rule of probability for independent events in the absence of data coupling such events. Other types of entropies that violate the Shore and Johnson axioms, including nonadditive entropies such as the Tsallis entropy, violate this basic consistency requirement. Here we use the axiomatic framework of Shore and Johnson to show how such nonadditive entropy functions generate biases in probability distributions that are not warranted by the underlying data. | - |
dc.publisher | AMER PHYSICAL SOC | - |
dc.relation.isPartOf | PHYSICAL REVIEW LETTERS | - |
dc.subject | STATISTICAL-MECHANICS | - |
dc.subject | MAXIMUM-ENTROPY | - |
dc.subject | INFORMATION-THEORY | - |
dc.subject | NONEXTENSIVE STATISTICS | - |
dc.subject | TSALLIS ENTROPY | - |
dc.subject | PHYSICS | - |
dc.subject | THEOREM | - |
dc.title | Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data | - |
dc.type | Article | - |
dc.identifier.doi | 10.1103/PhysRevLett.111.180604 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | PHYSICAL REVIEW LETTERS, v.111, no.18 | - |
dc.description.journalClass | 1 | - |
dc.identifier.wosid | 000326529600002 | - |
dc.identifier.scopusid | 2-s2.0-84887115648 | - |
dc.citation.number | 18 | - |
dc.citation.title | PHYSICAL REVIEW LETTERS | - |
dc.citation.volume | 111 | - |
dc.contributor.affiliatedAuthor | Lee, Julian | - |
dc.type.docType | Article | - |
dc.description.oadoiVersion | submitted | - |
dc.subject.keywordPlus | STATISTICAL-MECHANICS | - |
dc.subject.keywordPlus | MAXIMUM-ENTROPY | - |
dc.subject.keywordPlus | INFORMATION-THEORY | - |
dc.subject.keywordPlus | NONEXTENSIVE STATISTICS | - |
dc.subject.keywordPlus | TSALLIS ENTROPY | - |
dc.subject.keywordPlus | PHYSICS | - |
dc.subject.keywordPlus | THEOREM | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Soongsil University Library 369 Sangdo-Ro, Dongjak-Gu, Seoul, Korea (06978)02-820-0733
COPYRIGHT ⓒ SOONGSIL UNIVERSITY, ALL RIGHTS RESERVED.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.