FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100876332> ?p ?o ?g. }

• W3100876332 endingPage "63" @default.
• W3100876332 startingPage "49" @default.
• W3100876332 abstract "We examine the {combinatorial} or {probabilistic} definition (Boltzmann's principle) of the entropy or cross-entropy function $H propto ln mathbb{W}$ or $D propto - ln mathbb{P}$, where $mathbb{W}$ is the statistical weight and $mathbb{P}$ the probability of a given realization of a system. Extremisation of $H$ or $D$, subject to any constraints, thus selects the most probable (MaxProb) realization. If the system is multinomial, $D$ converges asymptotically (for number of entities $N back to back infty$) to the Kullback-Leibler cross-entropy $D_{KL}$; for equiprobable categories in a system, $H$ converges to the Shannon entropy $H_{Sh}$. However, in many cases $mathbb{W}$ or $mathbb{P}$ is not multinomial and/or does not satisfy an asymptotic limit. Such systems cannot meaningfully be analysed with $D_{KL}$ or $H_{Sh}$, but can be analysed directly by MaxProb. This study reviews several examples, including (a) non-asymptotic systems; (b) systems with indistinguishable entities (quantum statistics); (c) systems with indistinguishable categories; (d) systems represented by urn models, such as neither independent nor identically distributed (ninid) sampling; and (e) systems representable in graphical form, such as decision trees and networks. Boltzmann's combinatorial definition of entropy is shown to be of greater importance for {probabilistic inference} than the axiomatic definition used in information theory." @default.
• W3100876332 created "2020-11-23" @default.
• W3100876332 creator A5014169616 @default.
• W3100876332 date "2009-05-16" @default.
• W3100876332 modified "2023-09-27" @default.
• W3100876332 title "Combinatorial entropies and statistics" @default.
• W3100876332 cites W1516750787 @default.
• W3100876332 cites W1600438083 @default.
• W3100876332 cites W1657451941 @default.
• W3100876332 cites W1965555277 @default.
• W3100876332 cites W1983282154 @default.
• W3100876332 cites W1984602147 @default.
• W3100876332 cites W1984794586 @default.
• W3100876332 cites W1987794091 @default.
• W3100876332 cites W1995875735 @default.
• W3100876332 cites W2007557091 @default.
• W3100876332 cites W2024728605 @default.
• W3100876332 cites W2031451638 @default.
• W3100876332 cites W2032558547 @default.
• W3100876332 cites W2038249383 @default.
• W3100876332 cites W2047210381 @default.
• W3100876332 cites W2050817359 @default.
• W3100876332 cites W2052958516 @default.
• W3100876332 cites W2056630771 @default.
• W3100876332 cites W2059993298 @default.
• W3100876332 cites W2062824752 @default.
• W3100876332 cites W2065591794 @default.
• W3100876332 cites W2068588832 @default.
• W3100876332 cites W2081294026 @default.
• W3100876332 cites W2083163071 @default.
• W3100876332 cites W2085427060 @default.
• W3100876332 cites W2090747960 @default.
• W3100876332 cites W2094989151 @default.
• W3100876332 cites W2107054201 @default.
• W3100876332 cites W2138522979 @default.
• W3100876332 cites W2148441769 @default.
• W3100876332 cites W2150224077 @default.
• W3100876332 cites W2169962394 @default.
• W3100876332 cites W2174457910 @default.
• W3100876332 cites W2608875181 @default.
• W3100876332 cites W3105182050 @default.
• W3100876332 cites W3106254260 @default.
• W3100876332 cites W3119059448 @default.
• W3100876332 cites W4229941934 @default.
• W3100876332 cites W4233515022 @default.
• W3100876332 cites W4243215132 @default.
• W3100876332 cites W4247378490 @default.
• W3100876332 cites W4250933756 @default.
• W3100876332 cites W4299551239 @default.
• W3100876332 cites W4552026 @default.
• W3100876332 cites W591429885 @default.
• W3100876332 cites W994102297 @default.
• W3100876332 doi "https://doi.org/10.1140/epjb/e2009-00168-5" @default.
• W3100876332 hasPublicationYear "2009" @default.
• W3100876332 type Work @default.
• W3100876332 sameAs 3100876332 @default.
• W3100876332 citedByCount "26" @default.
• W3100876332 countsByYear W31008763322012 @default.
• W3100876332 countsByYear W31008763322013 @default.
• W3100876332 countsByYear W31008763322014 @default.
• W3100876332 countsByYear W31008763322015 @default.
• W3100876332 countsByYear W31008763322016 @default.
• W3100876332 countsByYear W31008763322017 @default.
• W3100876332 countsByYear W31008763322018 @default.
• W3100876332 countsByYear W31008763322019 @default.
• W3100876332 countsByYear W31008763322021 @default.
• W3100876332 countsByYear W31008763322022 @default.
• W3100876332 countsByYear W31008763322023 @default.
• W3100876332 crossrefType "journal-article" @default.
• W3100876332 hasAuthorship W3100876332A5014169616 @default.
• W3100876332 hasBestOaLocation W31008763322 @default.
• W3100876332 hasConcept C105795698 @default.
• W3100876332 hasConcept C106301342 @default.
• W3100876332 hasConcept C114614502 @default.
• W3100876332 hasConcept C118615104 @default.
• W3100876332 hasConcept C121332964 @default.
• W3100876332 hasConcept C122123141 @default.
• W3100876332 hasConcept C141513077 @default.
• W3100876332 hasConcept C171752962 @default.
• W3100876332 hasConcept C192065140 @default.
• W3100876332 hasConcept C2781089630 @default.
• W3100876332 hasConcept C33923547 @default.
• W3100876332 hasConcept C35304006 @default.
• W3100876332 hasConcept C49937458 @default.
• W3100876332 hasConcept C62520636 @default.
• W3100876332 hasConceptScore W3100876332C105795698 @default.
• W3100876332 hasConceptScore W3100876332C106301342 @default.
• W3100876332 hasConceptScore W3100876332C114614502 @default.
• W3100876332 hasConceptScore W3100876332C118615104 @default.
• W3100876332 hasConceptScore W3100876332C121332964 @default.
• W3100876332 hasConceptScore W3100876332C122123141 @default.
• W3100876332 hasConceptScore W3100876332C141513077 @default.
• W3100876332 hasConceptScore W3100876332C171752962 @default.
• W3100876332 hasConceptScore W3100876332C192065140 @default.
• W3100876332 hasConceptScore W3100876332C2781089630 @default.
• W3100876332 hasConceptScore W3100876332C33923547 @default.
• W3100876332 hasConceptScore W3100876332C35304006 @default.
• W3100876332 hasConceptScore W3100876332C49937458 @default.

• next