Matches in SemOpenAlex for { <https://semopenalex.org/work/W2899366824> ?p ?o ?g. }
- W2899366824 abstract "This paper aims to provide a natural extension for the standard framework of information geometry. The main idea is to define a generalization of e-geodesic and m-geodesic, which associates with the canonical divergence and generalized expectation. The generalized e-geodesic is given by Kolmogorov–Nagumo means; the generalized m-geodesic is characterized to preserve the generalized expectation. The Pythagorean theorem with respect to the canonical divergence is shown in the space of all probability density functions employing the generalized e-geodesic and m-geodesic. As a result, we provide a wide class of generalization for the standard framework, in which there is still a dualistic structure associated with the two generalized geodesics as similar to the standard framework." @default.
- W2899366824 created "2018-11-09" @default.
- W2899366824 creator A5024059119 @default.
- W2899366824 creator A5060169206 @default.
- W2899366824 creator A5065624271 @default.
- W2899366824 date "2018-01-01" @default.
- W2899366824 modified "2023-09-27" @default.
- W2899366824 title "Information Geometry Associated with Generalized Means" @default.
- W2899366824 cites W1520168181 @default.
- W2899366824 cites W1532573874 @default.
- W2899366824 cites W1586524688 @default.
- W2899366824 cites W1590693676 @default.
- W2899366824 cites W1963853631 @default.
- W2899366824 cites W1979804848 @default.
- W2899366824 cites W1988068576 @default.
- W2899366824 cites W1992146538 @default.
- W2899366824 cites W2018422625 @default.
- W2899366824 cites W2035641621 @default.
- W2899366824 cites W2036422857 @default.
- W2899366824 cites W2045405869 @default.
- W2899366824 cites W2051343356 @default.
- W2899366824 cites W2081728937 @default.
- W2899366824 cites W2121308557 @default.
- W2899366824 cites W2137627383 @default.
- W2899366824 cites W2143436207 @default.
- W2899366824 cites W2150070703 @default.
- W2899366824 cites W2184339390 @default.
- W2899366824 cites W2294351221 @default.
- W2899366824 cites W2686523174 @default.
- W2899366824 cites W2962724268 @default.
- W2899366824 cites W3104143361 @default.
- W2899366824 cites W3104264842 @default.
- W2899366824 cites W318586738 @default.
- W2899366824 cites W4230394162 @default.
- W2899366824 cites W4241080586 @default.
- W2899366824 cites W9756691 @default.
- W2899366824 doi "https://doi.org/10.1007/978-3-319-97798-0_10" @default.
- W2899366824 hasPublicationYear "2018" @default.
- W2899366824 type Work @default.
- W2899366824 sameAs 2899366824 @default.
- W2899366824 citedByCount "2" @default.
- W2899366824 countsByYear W28993668242019 @default.
- W2899366824 countsByYear W28993668242020 @default.
- W2899366824 crossrefType "book-chapter" @default.
- W2899366824 hasAuthorship W2899366824A5024059119 @default.
- W2899366824 hasAuthorship W2899366824A5060169206 @default.
- W2899366824 hasAuthorship W2899366824A5065624271 @default.
- W2899366824 hasConcept C100461760 @default.
- W2899366824 hasConcept C109546454 @default.
- W2899366824 hasConcept C12520029 @default.
- W2899366824 hasConcept C134306372 @default.
- W2899366824 hasConcept C138885662 @default.
- W2899366824 hasConcept C162269530 @default.
- W2899366824 hasConcept C165818556 @default.
- W2899366824 hasConcept C177148314 @default.
- W2899366824 hasConcept C195065555 @default.
- W2899366824 hasConcept C199360897 @default.
- W2899366824 hasConcept C202444582 @default.
- W2899366824 hasConcept C207390915 @default.
- W2899366824 hasConcept C2524010 @default.
- W2899366824 hasConcept C2778029271 @default.
- W2899366824 hasConcept C33923547 @default.
- W2899366824 hasConcept C41008148 @default.
- W2899366824 hasConcept C41895202 @default.
- W2899366824 hasConceptScore W2899366824C100461760 @default.
- W2899366824 hasConceptScore W2899366824C109546454 @default.
- W2899366824 hasConceptScore W2899366824C12520029 @default.
- W2899366824 hasConceptScore W2899366824C134306372 @default.
- W2899366824 hasConceptScore W2899366824C138885662 @default.
- W2899366824 hasConceptScore W2899366824C162269530 @default.
- W2899366824 hasConceptScore W2899366824C165818556 @default.
- W2899366824 hasConceptScore W2899366824C177148314 @default.
- W2899366824 hasConceptScore W2899366824C195065555 @default.
- W2899366824 hasConceptScore W2899366824C199360897 @default.
- W2899366824 hasConceptScore W2899366824C202444582 @default.
- W2899366824 hasConceptScore W2899366824C207390915 @default.
- W2899366824 hasConceptScore W2899366824C2524010 @default.
- W2899366824 hasConceptScore W2899366824C2778029271 @default.
- W2899366824 hasConceptScore W2899366824C33923547 @default.
- W2899366824 hasConceptScore W2899366824C41008148 @default.
- W2899366824 hasConceptScore W2899366824C41895202 @default.
- W2899366824 hasLocation W28993668241 @default.
- W2899366824 hasOpenAccess W2899366824 @default.
- W2899366824 hasPrimaryLocation W28993668241 @default.
- W2899366824 hasRelatedWork W145301763 @default.
- W2899366824 hasRelatedWork W1815619679 @default.
- W2899366824 hasRelatedWork W2088655718 @default.
- W2899366824 hasRelatedWork W2102356895 @default.
- W2899366824 hasRelatedWork W2117474784 @default.
- W2899366824 hasRelatedWork W2125617654 @default.
- W2899366824 hasRelatedWork W2221744438 @default.
- W2899366824 hasRelatedWork W2949083784 @default.
- W2899366824 hasRelatedWork W2951208312 @default.
- W2899366824 hasRelatedWork W2951255822 @default.
- W2899366824 hasRelatedWork W2951703666 @default.
- W2899366824 hasRelatedWork W2967235151 @default.
- W2899366824 hasRelatedWork W3004735925 @default.
- W2899366824 hasRelatedWork W3091176646 @default.
- W2899366824 hasRelatedWork W3124086967 @default.
- W2899366824 hasRelatedWork W3132441828 @default.