Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104949911> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3104949911 endingPage "230" @default.
- W3104949911 startingPage "213" @default.
- W3104949911 abstract "We focus on the solutions of second-order stable linear difference equations and demonstrate that their behavior can be non-monotone and exhibit peak effects depending on initial conditions. The results are applied to the analysis of the accelerated unconstrained optimization method—the Heavy Ball method. We explain non-standard behavior of the method discovered in practical applications. In addition, such non-monotonicity complicates the correct choice of the parameters in optimization methods. We propose to overcome this difficulty by introducing new Lyapunov function which should decrease monotonically. By use of this function convergence of the method is established under less restrictive assumptions (for instance, with the lack of convexity). We also suggest some restart techniques to speed up the method’s convergence." @default.
- W3104949911 created "2020-11-23" @default.
- W3104949911 creator A5032697658 @default.
- W3104949911 creator A5087417961 @default.
- W3104949911 creator A5090500458 @default.
- W3104949911 date "2020-01-01" @default.
- W3104949911 modified "2023-09-27" @default.
- W3104949911 title "Non-monotone Behavior of the Heavy Ball Method" @default.
- W3104949911 cites W1981042292 @default.
- W3104949911 cites W1985240368 @default.
- W3104949911 cites W1988720110 @default.
- W3104949911 cites W2124541940 @default.
- W3104949911 cites W2127447444 @default.
- W3104949911 cites W2137731592 @default.
- W3104949911 cites W2726042758 @default.
- W3104949911 cites W2765203333 @default.
- W3104949911 cites W2963248893 @default.
- W3104949911 cites W2963857952 @default.
- W3104949911 cites W3100607587 @default.
- W3104949911 doi "https://doi.org/10.1007/978-3-030-35502-9_9" @default.
- W3104949911 hasPublicationYear "2020" @default.
- W3104949911 type Work @default.
- W3104949911 sameAs 3104949911 @default.
- W3104949911 citedByCount "1" @default.
- W3104949911 countsByYear W31049499112022 @default.
- W3104949911 crossrefType "book-chapter" @default.
- W3104949911 hasAuthorship W3104949911A5032697658 @default.
- W3104949911 hasAuthorship W3104949911A5087417961 @default.
- W3104949911 hasAuthorship W3104949911A5090500458 @default.
- W3104949911 hasBestOaLocation W31049499112 @default.
- W3104949911 hasConcept C106159729 @default.
- W3104949911 hasConcept C121332964 @default.
- W3104949911 hasConcept C122041747 @default.
- W3104949911 hasConcept C126255220 @default.
- W3104949911 hasConcept C134306372 @default.
- W3104949911 hasConcept C158622935 @default.
- W3104949911 hasConcept C162324750 @default.
- W3104949911 hasConcept C2524010 @default.
- W3104949911 hasConcept C2777303404 @default.
- W3104949911 hasConcept C2834757 @default.
- W3104949911 hasConcept C28826006 @default.
- W3104949911 hasConcept C33923547 @default.
- W3104949911 hasConcept C41008148 @default.
- W3104949911 hasConcept C50522688 @default.
- W3104949911 hasConcept C60640748 @default.
- W3104949911 hasConcept C62520636 @default.
- W3104949911 hasConcept C72134830 @default.
- W3104949911 hasConcept C72169020 @default.
- W3104949911 hasConceptScore W3104949911C106159729 @default.
- W3104949911 hasConceptScore W3104949911C121332964 @default.
- W3104949911 hasConceptScore W3104949911C122041747 @default.
- W3104949911 hasConceptScore W3104949911C126255220 @default.
- W3104949911 hasConceptScore W3104949911C134306372 @default.
- W3104949911 hasConceptScore W3104949911C158622935 @default.
- W3104949911 hasConceptScore W3104949911C162324750 @default.
- W3104949911 hasConceptScore W3104949911C2524010 @default.
- W3104949911 hasConceptScore W3104949911C2777303404 @default.
- W3104949911 hasConceptScore W3104949911C2834757 @default.
- W3104949911 hasConceptScore W3104949911C28826006 @default.
- W3104949911 hasConceptScore W3104949911C33923547 @default.
- W3104949911 hasConceptScore W3104949911C41008148 @default.
- W3104949911 hasConceptScore W3104949911C50522688 @default.
- W3104949911 hasConceptScore W3104949911C60640748 @default.
- W3104949911 hasConceptScore W3104949911C62520636 @default.
- W3104949911 hasConceptScore W3104949911C72134830 @default.
- W3104949911 hasConceptScore W3104949911C72169020 @default.
- W3104949911 hasLocation W31049499111 @default.
- W3104949911 hasLocation W31049499112 @default.
- W3104949911 hasOpenAccess W3104949911 @default.
- W3104949911 hasPrimaryLocation W31049499111 @default.
- W3104949911 hasRelatedWork W1976810887 @default.
- W3104949911 hasRelatedWork W2092244978 @default.
- W3104949911 hasRelatedWork W2103405455 @default.
- W3104949911 hasRelatedWork W2898744868 @default.
- W3104949911 hasRelatedWork W2912228905 @default.
- W3104949911 hasRelatedWork W2952133296 @default.
- W3104949911 hasRelatedWork W2963008666 @default.
- W3104949911 hasRelatedWork W3104949911 @default.
- W3104949911 hasRelatedWork W4289330985 @default.
- W3104949911 hasRelatedWork W2728424417 @default.
- W3104949911 isParatext "false" @default.
- W3104949911 isRetracted "false" @default.
- W3104949911 magId "3104949911" @default.
- W3104949911 workType "book-chapter" @default.