FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2892093336> ?p ?o ?g. }

• W2892093336 endingPage "222" @default.
• W2892093336 startingPage "195" @default.
• W2892093336 abstract "In order to be provably convergent towards a second-order stationary point, optimization methods applied to nonconvex problems must necessarily exploit both first and second-order information. However, as revealed by recent complexity analyses of some of these methods, the overall effort to reach second-order points is significantly larger when compared to the one of approaching first-order ones. On the other hand, there are other algorithmic schemes, initially designed with first-order convergence in mind, that do not appear to maintain the same first-order performance when modified to take second-order information into account. In this paper, we propose a technique that separately computes first and second-order steps, and that globally converges to second-order stationary points: it consists in better connecting the steps to be taken and the stationarity criteria, potentially guaranteeing larger steps and decreases in the objective. Our approach is shown to lead to an improvement of the corresponding complexity bound with respect to the first-order optimality tolerance, while having a positive impact on the practical behavior. Although the applicability of our ideas is wider, we focus the presentation on trust-region methods with and without derivatives, and motivate in both cases the interest of our strategy." @default.
• W2892093336 created "2018-09-27" @default.
• W2892093336 creator A5024675306 @default.
• W2892093336 creator A5036298459 @default.
• W2892093336 creator A5045737795 @default.
• W2892093336 date "2018-09-10" @default.
• W2892093336 modified "2023-10-02" @default.
• W2892093336 title "A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds" @default.
• W2892093336 cites W1580352598 @default.
• W2892093336 cites W181733065 @default.
• W2892093336 cites W1969778961 @default.
• W2892093336 cites W1979603710 @default.
• W2892093336 cites W1994974865 @default.
• W2892093336 cites W1996723024 @default.
• W2892093336 cites W2044778841 @default.
• W2892093336 cites W2057565823 @default.
• W2892093336 cites W2057830724 @default.
• W2892093336 cites W2063311145 @default.
• W2892093336 cites W2080108722 @default.
• W2892093336 cites W2081397705 @default.
• W2892093336 cites W2082877410 @default.
• W2892093336 cites W2149454052 @default.
• W2892093336 cites W2336146308 @default.
• W2892093336 cites W2398500126 @default.
• W2892093336 cites W2509591300 @default.
• W2892093336 cites W2528932844 @default.
• W2892093336 cites W2530585400 @default.
• W2892093336 cites W2546420264 @default.
• W2892093336 cites W2609037894 @default.
• W2892093336 cites W2623997598 @default.
• W2892093336 cites W2753896574 @default.
• W2892093336 doi "https://doi.org/10.1007/s10107-018-1328-7" @default.
• W2892093336 hasPublicationYear "2018" @default.
• W2892093336 type Work @default.
• W2892093336 sameAs 2892093336 @default.
• W2892093336 citedByCount "10" @default.
• W2892093336 countsByYear W28920933362018 @default.
• W2892093336 countsByYear W28920933362019 @default.
• W2892093336 countsByYear W28920933362020 @default.
• W2892093336 countsByYear W28920933362021 @default.
• W2892093336 countsByYear W28920933362023 @default.
• W2892093336 crossrefType "journal-article" @default.
• W2892093336 hasAuthorship W2892093336A5024675306 @default.
• W2892093336 hasAuthorship W2892093336A5036298459 @default.
• W2892093336 hasAuthorship W2892093336A5045737795 @default.
• W2892093336 hasBestOaLocation W28920933364 @default.
• W2892093336 hasConcept C10138342 @default.
• W2892093336 hasConcept C11413529 @default.
• W2892093336 hasConcept C120665830 @default.
• W2892093336 hasConcept C121332964 @default.
• W2892093336 hasConcept C126255220 @default.
• W2892093336 hasConcept C134306372 @default.
• W2892093336 hasConcept C158622935 @default.
• W2892093336 hasConcept C162324750 @default.
• W2892093336 hasConcept C165696696 @default.
• W2892093336 hasConcept C179799912 @default.
• W2892093336 hasConcept C182306322 @default.
• W2892093336 hasConcept C189237950 @default.
• W2892093336 hasConcept C192209626 @default.
• W2892093336 hasConcept C2524010 @default.
• W2892093336 hasConcept C2777303404 @default.
• W2892093336 hasConcept C28719098 @default.
• W2892093336 hasConcept C33923547 @default.
• W2892093336 hasConcept C38652104 @default.
• W2892093336 hasConcept C41008148 @default.
• W2892093336 hasConcept C50522688 @default.
• W2892093336 hasConcept C62520636 @default.
• W2892093336 hasConcept C77553402 @default.
• W2892093336 hasConceptScore W2892093336C10138342 @default.
• W2892093336 hasConceptScore W2892093336C11413529 @default.
• W2892093336 hasConceptScore W2892093336C120665830 @default.
• W2892093336 hasConceptScore W2892093336C121332964 @default.
• W2892093336 hasConceptScore W2892093336C126255220 @default.
• W2892093336 hasConceptScore W2892093336C134306372 @default.
• W2892093336 hasConceptScore W2892093336C158622935 @default.
• W2892093336 hasConceptScore W2892093336C162324750 @default.
• W2892093336 hasConceptScore W2892093336C165696696 @default.
• W2892093336 hasConceptScore W2892093336C179799912 @default.
• W2892093336 hasConceptScore W2892093336C182306322 @default.
• W2892093336 hasConceptScore W2892093336C189237950 @default.
• W2892093336 hasConceptScore W2892093336C192209626 @default.
• W2892093336 hasConceptScore W2892093336C2524010 @default.
• W2892093336 hasConceptScore W2892093336C2777303404 @default.
• W2892093336 hasConceptScore W2892093336C28719098 @default.
• W2892093336 hasConceptScore W2892093336C33923547 @default.
• W2892093336 hasConceptScore W2892093336C38652104 @default.
• W2892093336 hasConceptScore W2892093336C41008148 @default.
• W2892093336 hasConceptScore W2892093336C50522688 @default.
• W2892093336 hasConceptScore W2892093336C62520636 @default.
• W2892093336 hasConceptScore W2892093336C77553402 @default.
• W2892093336 hasIssue "1-2" @default.
• W2892093336 hasLocation W28920933361 @default.
• W2892093336 hasLocation W28920933362 @default.
• W2892093336 hasLocation W28920933363 @default.
• W2892093336 hasLocation W28920933364 @default.
• W2892093336 hasOpenAccess W2892093336 @default.
• W2892093336 hasPrimaryLocation W28920933361 @default.
• W2892093336 hasRelatedWork W1596397513 @default.

• next