FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1596429603> ?p ?o ?g. }

• W1596429603 endingPage "36" @default.
• W1596429603 startingPage "5" @default.
• W1596429603 abstract "The differential-geometric structure of the set of positive densities on a given measure space has raised the interest of many mathematicians after the discovery by C.R. Rao of the geometric meaning of the Fisher information. Most of the research is focused on parametric statistical models. In series of papers by author and coworkers a particular version of the nonparametric case has been discussed. It consists of a minimalistic structure modeled according the theory of exponential families: given a reference density other densities are represented by the centered log likelihood which is an element of an Orlicz space. This mappings give a system of charts of a Banach manifold. It has been observed that, while the construction is natural, the practical applicability is limited by the technical difficulty to deal with such a class of Banach spaces. It has been suggested recently to replace the exponential function with other functions with similar behavior but polynomial growth at infinity in order to obtain more tractable Banach spaces, e.g. Hilbert spaces. We give first a review of our theory with special emphasis on the specific issues of the infinite dimensional setting. In a second part we discuss two specific topics, differential equations and the metric connection. The position of this line of research with respect to other approaches is briefly discussed." @default.
• W1596429603 created "2016-06-24" @default.
• W1596429603 creator A5074786556 @default.
• W1596429603 date "2013-01-01" @default.
• W1596429603 modified "2023-09-27" @default.
• W1596429603 title "Nonparametric Information Geometry" @default.
• W1596429603 cites W1520168181 @default.
• W1596429603 cites W1565064279 @default.
• W1596429603 cites W1573050432 @default.
• W1596429603 cites W1581294689 @default.
• W1596429603 cites W1963853631 @default.
• W1596429603 cites W1971439401 @default.
• W1596429603 cites W1977605352 @default.
• W1596429603 cites W1980841879 @default.
• W1596429603 cites W1983874169 @default.
• W1596429603 cites W1999637051 @default.
• W1596429603 cites W2000507951 @default.
• W1596429603 cites W2013233602 @default.
• W1596429603 cites W2020247984 @default.
• W1596429603 cites W2025994725 @default.
• W1596429603 cites W2036422857 @default.
• W1596429603 cites W2038151469 @default.
• W1596429603 cites W2054723044 @default.
• W1596429603 cites W2060649482 @default.
• W1596429603 cites W2060899802 @default.
• W1596429603 cites W2074078071 @default.
• W1596429603 cites W2077991515 @default.
• W1596429603 cites W2079584573 @default.
• W1596429603 cites W2110156410 @default.
• W1596429603 cites W2130613344 @default.
• W1596429603 cites W2135817792 @default.
• W1596429603 cites W2138794130 @default.
• W1596429603 cites W2171039480 @default.
• W1596429603 cites W2317946957 @default.
• W1596429603 cites W28106125 @default.
• W1596429603 cites W3101108864 @default.
• W1596429603 cites W3105624864 @default.
• W1596429603 cites W3105839827 @default.
• W1596429603 cites W3148089400 @default.
• W1596429603 cites W4214657350 @default.
• W1596429603 cites W4241080586 @default.
• W1596429603 cites W569093612 @default.
• W1596429603 cites W586361596 @default.
• W1596429603 cites W601608678 @default.
• W1596429603 cites W607595137 @default.
• W1596429603 doi "https://doi.org/10.1007/978-3-642-40020-9_3" @default.
• W1596429603 hasPublicationYear "2013" @default.
• W1596429603 type Work @default.
• W1596429603 sameAs 1596429603 @default.
• W1596429603 citedByCount "21" @default.
• W1596429603 countsByYear W15964296032014 @default.
• W1596429603 countsByYear W15964296032015 @default.
• W1596429603 countsByYear W15964296032017 @default.
• W1596429603 countsByYear W15964296032018 @default.
• W1596429603 countsByYear W15964296032019 @default.
• W1596429603 countsByYear W15964296032020 @default.
• W1596429603 countsByYear W15964296032021 @default.
• W1596429603 countsByYear W15964296032022 @default.
• W1596429603 countsByYear W15964296032023 @default.
• W1596429603 crossrefType "book-chapter" @default.
• W1596429603 hasAuthorship W1596429603A5074786556 @default.
• W1596429603 hasBestOaLocation W15964296032 @default.
• W1596429603 hasConcept C102366305 @default.
• W1596429603 hasConcept C105795698 @default.
• W1596429603 hasConcept C109546454 @default.
• W1596429603 hasConcept C117251300 @default.
• W1596429603 hasConcept C118615104 @default.
• W1596429603 hasConcept C12520029 @default.
• W1596429603 hasConcept C132954091 @default.
• W1596429603 hasConcept C162324750 @default.
• W1596429603 hasConcept C176217482 @default.
• W1596429603 hasConcept C195065555 @default.
• W1596429603 hasConcept C198043062 @default.
• W1596429603 hasConcept C202444582 @default.
• W1596429603 hasConcept C21547014 @default.
• W1596429603 hasConcept C2524010 @default.
• W1596429603 hasConcept C33923547 @default.
• W1596429603 hasConcept C41008148 @default.
• W1596429603 hasConcept C62799726 @default.
• W1596429603 hasConceptScore W1596429603C102366305 @default.
• W1596429603 hasConceptScore W1596429603C105795698 @default.
• W1596429603 hasConceptScore W1596429603C109546454 @default.
• W1596429603 hasConceptScore W1596429603C117251300 @default.
• W1596429603 hasConceptScore W1596429603C118615104 @default.
• W1596429603 hasConceptScore W1596429603C12520029 @default.
• W1596429603 hasConceptScore W1596429603C132954091 @default.
• W1596429603 hasConceptScore W1596429603C162324750 @default.
• W1596429603 hasConceptScore W1596429603C176217482 @default.
• W1596429603 hasConceptScore W1596429603C195065555 @default.
• W1596429603 hasConceptScore W1596429603C198043062 @default.
• W1596429603 hasConceptScore W1596429603C202444582 @default.
• W1596429603 hasConceptScore W1596429603C21547014 @default.
• W1596429603 hasConceptScore W1596429603C2524010 @default.
• W1596429603 hasConceptScore W1596429603C33923547 @default.
• W1596429603 hasConceptScore W1596429603C41008148 @default.
• W1596429603 hasConceptScore W1596429603C62799726 @default.
• W1596429603 hasLocation W15964296031 @default.
• W1596429603 hasLocation W15964296032 @default.

• next