Matches in SemOpenAlex for { <https://semopenalex.org/work/W2763853733> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2763853733 abstract "Simplex gradients are an essential feature of many derivative free optimization algorithms, and can be employed, for example, as part of the process of defining a direction of search, or as part of a termination criterion. The calculation of a general simplex gradient in $mathbb{R}^n$ can be computationally expensive, and often requires an overhead operation count of $mathcal{O}(n^3)$ and in some algorithms a storage overhead of $mathcal{O}(n^2)$. In this work we demonstrate that the linear algebra overhead and storage costs can be reduced, both to $mathcal{O}(n)$, when the simplex employed is regular and appropriately aligned. We also demonstrate that a second order gradient approximation can be obtained cheaply from a combination of two, first order (appropriately aligned) regular simplex gradients. Moreover, we show that, for an arbitrarily aligned regular simplex, the gradient can be computed in only $mathcal{O}(n^2)$ operations." @default.
- W2763853733 created "2017-10-20" @default.
- W2763853733 creator A5069636034 @default.
- W2763853733 creator A5071432145 @default.
- W2763853733 date "2017-10-04" @default.
- W2763853733 modified "2023-09-27" @default.
- W2763853733 title "Efficient Calculation of Regular Simplex Gradients" @default.
- W2763853733 cites W1556800872 @default.
- W2763853733 cites W181733065 @default.
- W2763853733 cites W2022727770 @default.
- W2763853733 cites W2031316504 @default.
- W2763853733 cites W2064558818 @default.
- W2763853733 cites W2081989804 @default.
- W2763853733 cites W2085532948 @default.
- W2763853733 cites W2091849172 @default.
- W2763853733 cites W2107073443 @default.
- W2763853733 cites W2123224804 @default.
- W2763853733 cites W2140691217 @default.
- W2763853733 cites W2143104984 @default.
- W2763853733 cites W2152710595 @default.
- W2763853733 cites W2171074980 @default.
- W2763853733 cites W2296319761 @default.
- W2763853733 cites W2798909945 @default.
- W2763853733 hasPublicationYear "2017" @default.
- W2763853733 type Work @default.
- W2763853733 sameAs 2763853733 @default.
- W2763853733 citedByCount "0" @default.
- W2763853733 crossrefType "posted-content" @default.
- W2763853733 hasAuthorship W2763853733A5069636034 @default.
- W2763853733 hasAuthorship W2763853733A5071432145 @default.
- W2763853733 hasConcept C10138342 @default.
- W2763853733 hasConcept C106159729 @default.
- W2763853733 hasConcept C111771559 @default.
- W2763853733 hasConcept C111919701 @default.
- W2763853733 hasConcept C11413529 @default.
- W2763853733 hasConcept C114614502 @default.
- W2763853733 hasConcept C118615104 @default.
- W2763853733 hasConcept C126255220 @default.
- W2763853733 hasConcept C144521790 @default.
- W2763853733 hasConcept C162324750 @default.
- W2763853733 hasConcept C182306322 @default.
- W2763853733 hasConcept C2779960059 @default.
- W2763853733 hasConcept C28826006 @default.
- W2763853733 hasConcept C33923547 @default.
- W2763853733 hasConcept C41008148 @default.
- W2763853733 hasConcept C41045048 @default.
- W2763853733 hasConcept C62438384 @default.
- W2763853733 hasConceptScore W2763853733C10138342 @default.
- W2763853733 hasConceptScore W2763853733C106159729 @default.
- W2763853733 hasConceptScore W2763853733C111771559 @default.
- W2763853733 hasConceptScore W2763853733C111919701 @default.
- W2763853733 hasConceptScore W2763853733C11413529 @default.
- W2763853733 hasConceptScore W2763853733C114614502 @default.
- W2763853733 hasConceptScore W2763853733C118615104 @default.
- W2763853733 hasConceptScore W2763853733C126255220 @default.
- W2763853733 hasConceptScore W2763853733C144521790 @default.
- W2763853733 hasConceptScore W2763853733C162324750 @default.
- W2763853733 hasConceptScore W2763853733C182306322 @default.
- W2763853733 hasConceptScore W2763853733C2779960059 @default.
- W2763853733 hasConceptScore W2763853733C28826006 @default.
- W2763853733 hasConceptScore W2763853733C33923547 @default.
- W2763853733 hasConceptScore W2763853733C41008148 @default.
- W2763853733 hasConceptScore W2763853733C41045048 @default.
- W2763853733 hasConceptScore W2763853733C62438384 @default.
- W2763853733 hasLocation W27638537331 @default.
- W2763853733 hasOpenAccess W2763853733 @default.
- W2763853733 hasPrimaryLocation W27638537331 @default.
- W2763853733 hasRelatedWork W1451881698 @default.
- W2763853733 hasRelatedWork W2016888484 @default.
- W2763853733 hasRelatedWork W2041341337 @default.
- W2763853733 hasRelatedWork W2056543148 @default.
- W2763853733 hasRelatedWork W2098741260 @default.
- W2763853733 hasRelatedWork W2114915823 @default.
- W2763853733 hasRelatedWork W2162361847 @default.
- W2763853733 hasRelatedWork W2279748049 @default.
- W2763853733 hasRelatedWork W2519307566 @default.
- W2763853733 hasRelatedWork W2548231749 @default.
- W2763853733 hasRelatedWork W2765816034 @default.
- W2763853733 hasRelatedWork W2784278232 @default.
- W2763853733 hasRelatedWork W2892296169 @default.
- W2763853733 hasRelatedWork W2911946702 @default.
- W2763853733 hasRelatedWork W2952833922 @default.
- W2763853733 hasRelatedWork W2970054779 @default.
- W2763853733 hasRelatedWork W2998039341 @default.
- W2763853733 hasRelatedWork W3094115032 @default.
- W2763853733 hasRelatedWork W3097594544 @default.
- W2763853733 hasRelatedWork W3199151811 @default.
- W2763853733 isParatext "false" @default.
- W2763853733 isRetracted "false" @default.
- W2763853733 magId "2763853733" @default.
- W2763853733 workType "article" @default.