Matches in SemOpenAlex for { <https://semopenalex.org/work/W2968174986> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2968174986 endingPage "137" @default.
- W2968174986 startingPage "105" @default.
- W2968174986 abstract "In this chapter, the main algorithm of the book, Extended RSDFO, is described. The chapter begins by formalizing a generalized framework, Riemannian Stochastic Derivative-Free Optimization (RSDFO) algorithms, for adapting Stochastic Derivative-Free Optimization (SDFO) algorithms from Euclidean spaces to Riemannian manifolds. RSDFO encompasses Riemannian adaptation of CMA-ES, and accentuates the main drawback of the Riemannian adaptation approach, i.e. the local restrictions. The chapter then describes Extended RSDFO, a principled population-based meta-algorithm that uses existing manifold optimization algorithms, such as RSDFO, as its local module. Extended RSDFO addresses the local restriction of RSDFO using both the intrinsic Riemannian geometry of the manifold M (search space) and the product statistical Riemannian geometry of families of mixture densities over M (decision spaces). The components of Extended RSDFO are constructed from a geometrical perspective, and its properties derived from first principles. In particular, we describe the geometry of the evolutionary steps of Extended RSDFO using a modified “regularized inverse Fisher metric on the simplex of mixture coefficients, and derive the convergence behaviors of Extended RSDFO on compact connected Riemannian manifolds." @default.
- W2968174986 created "2019-08-22" @default.
- W2968174986 creator A5005160942 @default.
- W2968174986 creator A5051182859 @default.
- W2968174986 date "2022-01-01" @default.
- W2968174986 modified "2023-10-18" @default.
- W2968174986 title "Stochastic Derivative-Free Optimization on Riemannian Manifolds" @default.
- W2968174986 cites W1605438009 @default.
- W2968174986 cites W1745531164 @default.
- W2968174986 cites W1969002377 @default.
- W2968174986 cites W1970789124 @default.
- W2968174986 cites W1984426629 @default.
- W2968174986 cites W2074269613 @default.
- W2968174986 cites W2098132613 @default.
- W2968174986 cites W2105934010 @default.
- W2968174986 cites W2110348055 @default.
- W2968174986 cites W2110662303 @default.
- W2968174986 cites W2116990014 @default.
- W2968174986 cites W2152631195 @default.
- W2968174986 cites W2166160300 @default.
- W2968174986 cites W2316346291 @default.
- W2968174986 doi "https://doi.org/10.1007/978-3-031-04293-5_8" @default.
- W2968174986 hasPublicationYear "2022" @default.
- W2968174986 type Work @default.
- W2968174986 sameAs 2968174986 @default.
- W2968174986 citedByCount "3" @default.
- W2968174986 countsByYear W29681749862020 @default.
- W2968174986 countsByYear W29681749862023 @default.
- W2968174986 crossrefType "book-chapter" @default.
- W2968174986 hasAuthorship W2968174986A5005160942 @default.
- W2968174986 hasAuthorship W2968174986A5051182859 @default.
- W2968174986 hasConcept C109546454 @default.
- W2968174986 hasConcept C12089564 @default.
- W2968174986 hasConcept C12520029 @default.
- W2968174986 hasConcept C126255220 @default.
- W2968174986 hasConcept C127413603 @default.
- W2968174986 hasConcept C169391604 @default.
- W2968174986 hasConcept C181104567 @default.
- W2968174986 hasConcept C186450821 @default.
- W2968174986 hasConcept C195065555 @default.
- W2968174986 hasConcept C202444582 @default.
- W2968174986 hasConcept C2524010 @default.
- W2968174986 hasConcept C2779593128 @default.
- W2968174986 hasConcept C33923547 @default.
- W2968174986 hasConcept C4306028 @default.
- W2968174986 hasConcept C529865628 @default.
- W2968174986 hasConcept C62438384 @default.
- W2968174986 hasConcept C78519656 @default.
- W2968174986 hasConceptScore W2968174986C109546454 @default.
- W2968174986 hasConceptScore W2968174986C12089564 @default.
- W2968174986 hasConceptScore W2968174986C12520029 @default.
- W2968174986 hasConceptScore W2968174986C126255220 @default.
- W2968174986 hasConceptScore W2968174986C127413603 @default.
- W2968174986 hasConceptScore W2968174986C169391604 @default.
- W2968174986 hasConceptScore W2968174986C181104567 @default.
- W2968174986 hasConceptScore W2968174986C186450821 @default.
- W2968174986 hasConceptScore W2968174986C195065555 @default.
- W2968174986 hasConceptScore W2968174986C202444582 @default.
- W2968174986 hasConceptScore W2968174986C2524010 @default.
- W2968174986 hasConceptScore W2968174986C2779593128 @default.
- W2968174986 hasConceptScore W2968174986C33923547 @default.
- W2968174986 hasConceptScore W2968174986C4306028 @default.
- W2968174986 hasConceptScore W2968174986C529865628 @default.
- W2968174986 hasConceptScore W2968174986C62438384 @default.
- W2968174986 hasConceptScore W2968174986C78519656 @default.
- W2968174986 hasLocation W29681749861 @default.
- W2968174986 hasOpenAccess W2968174986 @default.
- W2968174986 hasPrimaryLocation W29681749861 @default.
- W2968174986 hasRelatedWork W1532125927 @default.
- W2968174986 hasRelatedWork W2059474323 @default.
- W2968174986 hasRelatedWork W2737579912 @default.
- W2968174986 hasRelatedWork W2750319648 @default.
- W2968174986 hasRelatedWork W2949438187 @default.
- W2968174986 hasRelatedWork W2968174986 @default.
- W2968174986 hasRelatedWork W2999284236 @default.
- W2968174986 hasRelatedWork W3092260089 @default.
- W2968174986 hasRelatedWork W4245686311 @default.
- W2968174986 hasRelatedWork W4291625303 @default.
- W2968174986 isParatext "false" @default.
- W2968174986 isRetracted "false" @default.
- W2968174986 magId "2968174986" @default.
- W2968174986 workType "book-chapter" @default.