FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2892058114> ?p ?o ?g. }

• W2892058114 endingPage "2651" @default.
• W2892058114 startingPage "2626" @default.
• W2892058114 abstract "Abstract The absence of spurious local minima in certain nonconvex low-rank matrix recovery problems has been of recent interest in computer science, machine learning and compressed sensing since it explains the convergence of some low-rank optimization methods to global optima. One such example is low-rank matrix sensing under restricted isometry properties (RIPs). It can be formulated as a minimization problem for a quadratic function on the Riemannian manifold of low-rank matrices, with a positive semidefinite Riemannian Hessian that acts almost like an identity on low-rank matrices. In this work new estimates for singular values of local minima for such problems are given, which lead to improved bounds on RIP constants to ensure absence of nonoptimal local minima and sufficiently negative curvature at all other critical points. A geometric viewpoint is taken, which is inspired by the fact that the Euclidean distance function to a rank-$k$ matrix possesses no critical points on the corresponding embedded submanifold of rank-$k$ matrices except for the single global minimum." @default.
• W2892058114 created "2018-09-27" @default.
• W2892058114 creator A5039297086 @default.
• W2892058114 creator A5046950163 @default.
• W2892058114 date "2020-03-20" @default.
• W2892058114 modified "2023-10-15" @default.
• W2892058114 title "On critical points of quadratic low-rank matrix optimization problems" @default.
• W2892058114 cites W1884359871 @default.
• W2892058114 cites W1967357291 @default.
• W2892058114 cites W1993468393 @default.
• W2892058114 cites W1998367754 @default.
• W2892058114 cites W2019209419 @default.
• W2892058114 cites W2034274983 @default.
• W2892058114 cites W2037253724 @default.
• W2892058114 cites W2058078260 @default.
• W2892058114 cites W2060204507 @default.
• W2892058114 cites W2098760944 @default.
• W2892058114 cites W2106005123 @default.
• W2892058114 cites W2118550318 @default.
• W2892058114 cites W2143075842 @default.
• W2892058114 cites W2162451874 @default.
• W2892058114 cites W2179686847 @default.
• W2892058114 cites W2255205876 @default.
• W2892058114 cites W2268674159 @default.
• W2892058114 cites W2480611454 @default.
• W2892058114 cites W2592246480 @default.
• W2892058114 cites W2601846890 @default.
• W2892058114 cites W2611328865 @default.
• W2892058114 cites W2789612570 @default.
• W2892058114 cites W2964014592 @default.
• W2892058114 cites W2969215180 @default.
• W2892058114 cites W3113425034 @default.
• W2892058114 cites W4205293427 @default.
• W2892058114 cites W4246883249 @default.
• W2892058114 cites W4249513058 @default.
• W2892058114 doi "https://doi.org/10.1093/imanum/drz061" @default.
• W2892058114 hasPublicationYear "2020" @default.
• W2892058114 type Work @default.
• W2892058114 sameAs 2892058114 @default.
• W2892058114 citedByCount "8" @default.
• W2892058114 countsByYear W28920581142019 @default.
• W2892058114 countsByYear W28920581142020 @default.
• W2892058114 countsByYear W28920581142021 @default.
• W2892058114 countsByYear W28920581142022 @default.
• W2892058114 countsByYear W28920581142023 @default.
• W2892058114 crossrefType "journal-article" @default.
• W2892058114 hasAuthorship W2892058114A5039297086 @default.
• W2892058114 hasAuthorship W2892058114A5046950163 @default.
• W2892058114 hasBestOaLocation W28920581141 @default.
• W2892058114 hasConcept C106487976 @default.
• W2892058114 hasConcept C114614502 @default.
• W2892058114 hasConcept C134306372 @default.
• W2892058114 hasConcept C159985019 @default.
• W2892058114 hasConcept C164226766 @default.
• W2892058114 hasConcept C186633575 @default.
• W2892058114 hasConcept C189237950 @default.
• W2892058114 hasConcept C192562407 @default.
• W2892058114 hasConcept C196298200 @default.
• W2892058114 hasConcept C203616005 @default.
• W2892058114 hasConcept C25023664 @default.
• W2892058114 hasConcept C2779593128 @default.
• W2892058114 hasConcept C28826006 @default.
• W2892058114 hasConcept C33923547 @default.
• W2892058114 hasConcept C90199385 @default.
• W2892058114 hasConceptScore W2892058114C106487976 @default.
• W2892058114 hasConceptScore W2892058114C114614502 @default.
• W2892058114 hasConceptScore W2892058114C134306372 @default.
• W2892058114 hasConceptScore W2892058114C159985019 @default.
• W2892058114 hasConceptScore W2892058114C164226766 @default.
• W2892058114 hasConceptScore W2892058114C186633575 @default.
• W2892058114 hasConceptScore W2892058114C189237950 @default.
• W2892058114 hasConceptScore W2892058114C192562407 @default.
• W2892058114 hasConceptScore W2892058114C196298200 @default.
• W2892058114 hasConceptScore W2892058114C203616005 @default.
• W2892058114 hasConceptScore W2892058114C25023664 @default.
• W2892058114 hasConceptScore W2892058114C2779593128 @default.
• W2892058114 hasConceptScore W2892058114C28826006 @default.
• W2892058114 hasConceptScore W2892058114C33923547 @default.
• W2892058114 hasConceptScore W2892058114C90199385 @default.
• W2892058114 hasFunder F4320320924 @default.
• W2892058114 hasIssue "4" @default.
• W2892058114 hasLocation W28920581141 @default.
• W2892058114 hasLocation W28920581142 @default.
• W2892058114 hasOpenAccess W2892058114 @default.
• W2892058114 hasPrimaryLocation W28920581141 @default.
• W2892058114 hasRelatedWork W1724331128 @default.
• W2892058114 hasRelatedWork W2153649672 @default.
• W2892058114 hasRelatedWork W2892058114 @default.
• W2892058114 hasRelatedWork W2964005990 @default.
• W2892058114 hasRelatedWork W2970759752 @default.
• W2892058114 hasRelatedWork W3012856280 @default.
• W2892058114 hasRelatedWork W3092316610 @default.
• W2892058114 hasRelatedWork W3158001585 @default.
• W2892058114 hasRelatedWork W3159746799 @default.
• W2892058114 hasRelatedWork W4287824658 @default.
• W2892058114 hasVolume "40" @default.
• W2892058114 isParatext "false" @default.
• W2892058114 isRetracted "false" @default.

• next