Matches in SemOpenAlex for { <https://semopenalex.org/work/W2904282191> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2904282191 abstract "The principles of classical mechanics have shown that the inertial quality of mass is characterized by the kinetic energy. This, in turn, establishes the connection between geometry and mechanics. We aim to exploit such a fundamental principle for information geometry entering the realm of mechanics. According to the modification of curve energy stated by Amari and Nagaoka for a smooth manifold $mathrm{M}$ endowed with a dual structure $(mathrm{g},nabla,nabla^*)$, we consider $nabla$ and $nabla^*$ kinetic energies. Then, we prove that a recently introduced canonical divergence and its dual function coincide with Hamilton principal functions associated with suitable Lagrangian functions when $(mathrm{M},mathrm{g},nabla,nabla^*)$ is dually flat. Corresponding dynamical systems are studied and the tangent dynamics is outlined in terms of the Riemannian gradient of the canonical divergence. Solutions of such dynamics are proved to be $nabla$ and $nabla^*$ geodesics connecting any two points sufficiently close to each other. Application to the standard Gaussian model is also investigated." @default.
- W2904282191 created "2018-12-22" @default.
- W2904282191 creator A5040062512 @default.
- W2904282191 creator A5065926474 @default.
- W2904282191 date "2018-12-12" @default.
- W2904282191 modified "2023-09-27" @default.
- W2904282191 title "Dynamical Systems induced by Canonical Divergence in dually flat manifolds" @default.
- W2904282191 cites W1513866537 @default.
- W2904282191 cites W1525296983 @default.
- W2904282191 cites W1569339351 @default.
- W2904282191 cites W1586524688 @default.
- W2904282191 cites W1949248870 @default.
- W2904282191 cites W1973666011 @default.
- W2904282191 cites W1983121418 @default.
- W2904282191 cites W2017957151 @default.
- W2904282191 cites W2024465860 @default.
- W2904282191 cites W2062427814 @default.
- W2904282191 cites W2193424816 @default.
- W2904282191 cites W2757215200 @default.
- W2904282191 cites W2799055878 @default.
- W2904282191 cites W3013347551 @default.
- W2904282191 cites W576117403 @default.
- W2904282191 cites W609154622 @default.
- W2904282191 hasPublicationYear "2018" @default.
- W2904282191 type Work @default.
- W2904282191 sameAs 2904282191 @default.
- W2904282191 citedByCount "2" @default.
- W2904282191 countsByYear W29042821912019 @default.
- W2904282191 crossrefType "posted-content" @default.
- W2904282191 hasAuthorship W2904282191A5040062512 @default.
- W2904282191 hasAuthorship W2904282191A5065926474 @default.
- W2904282191 hasConcept C121332964 @default.
- W2904282191 hasConcept C134306372 @default.
- W2904282191 hasConcept C135889238 @default.
- W2904282191 hasConcept C165818556 @default.
- W2904282191 hasConcept C2779557605 @default.
- W2904282191 hasConcept C33923547 @default.
- W2904282191 hasConcept C37914503 @default.
- W2904282191 hasConcept C54207081 @default.
- W2904282191 hasConcept C62520636 @default.
- W2904282191 hasConcept C74650414 @default.
- W2904282191 hasConceptScore W2904282191C121332964 @default.
- W2904282191 hasConceptScore W2904282191C134306372 @default.
- W2904282191 hasConceptScore W2904282191C135889238 @default.
- W2904282191 hasConceptScore W2904282191C165818556 @default.
- W2904282191 hasConceptScore W2904282191C2779557605 @default.
- W2904282191 hasConceptScore W2904282191C33923547 @default.
- W2904282191 hasConceptScore W2904282191C37914503 @default.
- W2904282191 hasConceptScore W2904282191C54207081 @default.
- W2904282191 hasConceptScore W2904282191C62520636 @default.
- W2904282191 hasConceptScore W2904282191C74650414 @default.
- W2904282191 hasLocation W29042821911 @default.
- W2904282191 hasOpenAccess W2904282191 @default.
- W2904282191 hasPrimaryLocation W29042821911 @default.
- W2904282191 hasRelatedWork W1517931742 @default.
- W2904282191 hasRelatedWork W1618249044 @default.
- W2904282191 hasRelatedWork W2024850525 @default.
- W2904282191 hasRelatedWork W2039470150 @default.
- W2904282191 hasRelatedWork W2047702422 @default.
- W2904282191 hasRelatedWork W2077271539 @default.
- W2904282191 hasRelatedWork W2085996713 @default.
- W2904282191 hasRelatedWork W2094824363 @default.
- W2904282191 hasRelatedWork W2143571234 @default.
- W2904282191 hasRelatedWork W2777623714 @default.
- W2904282191 hasRelatedWork W2901642211 @default.
- W2904282191 hasRelatedWork W2949062810 @default.
- W2904282191 hasRelatedWork W2975387335 @default.
- W2904282191 hasRelatedWork W3099756802 @default.
- W2904282191 hasRelatedWork W3101681222 @default.
- W2904282191 hasRelatedWork W3105033586 @default.
- W2904282191 hasRelatedWork W3107957945 @default.
- W2904282191 hasRelatedWork W3186888626 @default.
- W2904282191 hasRelatedWork W6374059 @default.
- W2904282191 hasRelatedWork W3099867578 @default.
- W2904282191 isParatext "false" @default.
- W2904282191 isRetracted "false" @default.
- W2904282191 magId "2904282191" @default.
- W2904282191 workType "article" @default.