Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313304795> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4313304795 abstract "The main goal of this paper is to relate the topologically relevant stationary points of a cardinality-constrained optimization problem and its continuous reformulation up to their type. For that, we focus on the nondegenerate M- and T-stationary points, respectively. Their so-called M- and T-indices, which uniquely determine the global and local structure of optimization problems under consideration in algebraic terms, are traced. As novelty, we suggest to regularize the continuous reformulation for this purpose. The main consequence of our analysis is that the number of saddle points of the regularized continuous reformulation grows exponentially as compared to that of the initial cardinality-constrained optimization problem. Additionally, we obtain the Morse theory for the regularized continuous reformulation by using the corresponding results on mathematical programs with orthogonality type constraints." @default.
- W4313304795 created "2023-01-06" @default.
- W4313304795 creator A5035961103 @default.
- W4313304795 creator A5071503953 @default.
- W4313304795 date "2022-12-27" @default.
- W4313304795 modified "2023-09-25" @default.
- W4313304795 title "Global aspects of the continuous reformulation for cardinality-constrained optimization problems" @default.
- W4313304795 doi "https://doi.org/10.48550/arxiv.2212.13422" @default.
- W4313304795 hasPublicationYear "2022" @default.
- W4313304795 type Work @default.
- W4313304795 citedByCount "0" @default.
- W4313304795 crossrefType "posted-content" @default.
- W4313304795 hasAuthorship W4313304795A5035961103 @default.
- W4313304795 hasAuthorship W4313304795A5071503953 @default.
- W4313304795 hasBestOaLocation W43133047951 @default.
- W4313304795 hasConcept C120665830 @default.
- W4313304795 hasConcept C121332964 @default.
- W4313304795 hasConcept C122357587 @default.
- W4313304795 hasConcept C124101348 @default.
- W4313304795 hasConcept C126255220 @default.
- W4313304795 hasConcept C134306372 @default.
- W4313304795 hasConcept C137836250 @default.
- W4313304795 hasConcept C17137986 @default.
- W4313304795 hasConcept C18903297 @default.
- W4313304795 hasConcept C189237950 @default.
- W4313304795 hasConcept C192209626 @default.
- W4313304795 hasConcept C2524010 @default.
- W4313304795 hasConcept C2681867 @default.
- W4313304795 hasConcept C2777299769 @default.
- W4313304795 hasConcept C28826006 @default.
- W4313304795 hasConcept C33923547 @default.
- W4313304795 hasConcept C41008148 @default.
- W4313304795 hasConcept C86803240 @default.
- W4313304795 hasConcept C87117476 @default.
- W4313304795 hasConcept C92995354 @default.
- W4313304795 hasConceptScore W4313304795C120665830 @default.
- W4313304795 hasConceptScore W4313304795C121332964 @default.
- W4313304795 hasConceptScore W4313304795C122357587 @default.
- W4313304795 hasConceptScore W4313304795C124101348 @default.
- W4313304795 hasConceptScore W4313304795C126255220 @default.
- W4313304795 hasConceptScore W4313304795C134306372 @default.
- W4313304795 hasConceptScore W4313304795C137836250 @default.
- W4313304795 hasConceptScore W4313304795C17137986 @default.
- W4313304795 hasConceptScore W4313304795C18903297 @default.
- W4313304795 hasConceptScore W4313304795C189237950 @default.
- W4313304795 hasConceptScore W4313304795C192209626 @default.
- W4313304795 hasConceptScore W4313304795C2524010 @default.
- W4313304795 hasConceptScore W4313304795C2681867 @default.
- W4313304795 hasConceptScore W4313304795C2777299769 @default.
- W4313304795 hasConceptScore W4313304795C28826006 @default.
- W4313304795 hasConceptScore W4313304795C33923547 @default.
- W4313304795 hasConceptScore W4313304795C41008148 @default.
- W4313304795 hasConceptScore W4313304795C86803240 @default.
- W4313304795 hasConceptScore W4313304795C87117476 @default.
- W4313304795 hasConceptScore W4313304795C92995354 @default.
- W4313304795 hasLocation W43133047951 @default.
- W4313304795 hasOpenAccess W4313304795 @default.
- W4313304795 hasPrimaryLocation W43133047951 @default.
- W4313304795 hasRelatedWork W2942753664 @default.
- W4313304795 hasRelatedWork W2947894078 @default.
- W4313304795 hasRelatedWork W2977139627 @default.
- W4313304795 hasRelatedWork W3108528603 @default.
- W4313304795 hasRelatedWork W3159214284 @default.
- W4313304795 hasRelatedWork W3161794388 @default.
- W4313304795 hasRelatedWork W3205036523 @default.
- W4313304795 hasRelatedWork W4237411890 @default.
- W4313304795 hasRelatedWork W4300427869 @default.
- W4313304795 hasRelatedWork W308707143 @default.
- W4313304795 isParatext "false" @default.
- W4313304795 isRetracted "false" @default.
- W4313304795 workType "article" @default.