FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386221366> ?p ?o ?g. }

• W4386221366 abstract "In this paper, we study the generalized subdifferentials and the Riemannian gradient subconsistency that are the basis for non-Lipschitz optimization on embedded submanifolds of [Formula: see text]. We then propose a Riemannian smoothing steepest descent method for non-Lipschitz optimization on complete embedded submanifolds of [Formula: see text]. We prove that any accumulation point of the sequence generated by the Riemannian smoothing steepest descent method is a stationary point associated with the smoothing function employed in the method, which is necessary for the local optimality of the original non-Lipschitz problem. We also prove that any accumulation point of the sequence generated by our method that satisfies the Riemannian gradient subconsistency is a limiting stationary point of the original non-Lipschitz problem. Numerical experiments are conducted to demonstrate the advantages of Riemannian [Formula: see text] [Formula: see text] optimization over Riemannian [Formula: see text] optimization for finding sparse solutions and the effectiveness of the proposed method. Funding: C. Zhang was supported in part by the National Natural Science Foundation of China [Grant 12171027] and the Natural Science Foundation of Beijing [Grant 1202021]. X. Chen was supported in part by the Hong Kong Research Council [Grant PolyU15300219]. S. Ma was supported in part by the National Science Foundation [Grants DMS-2243650 and CCF-2308597], the UC Davis Center for Data Science and Artificial Intelligence Research Innovative Data Science Seed Funding Program, and a startup fund from Rice University." @default.
• W4386221366 created "2023-08-29" @default.
• W4386221366 creator A5002436523 @default.
• W4386221366 creator A5008787209 @default.
• W4386221366 creator A5063969596 @default.
• W4386221366 date "2023-08-28" @default.
• W4386221366 modified "2023-09-30" @default.
• W4386221366 title "A Riemannian Smoothing Steepest Descent Method for Non-Lipschitz Optimization on Embedded Submanifolds of Rn" @default.
• W4386221366 cites W1487446337 @default.
• W4386221366 cites W1551360398 @default.
• W4386221366 cites W1577667013 @default.
• W4386221366 cites W1790023038 @default.
• W4386221366 cites W1966627654 @default.
• W4386221366 cites W1973397215 @default.
• W4386221366 cites W1984395157 @default.
• W4386221366 cites W1992726305 @default.
• W4386221366 cites W1995126983 @default.
• W4386221366 cites W2007504050 @default.
• W4386221366 cites W2009680197 @default.
• W4386221366 cites W2012961725 @default.
• W4386221366 cites W2019465316 @default.
• W4386221366 cites W2022164193 @default.
• W4386221366 cites W2027026120 @default.
• W4386221366 cites W2028324955 @default.
• W4386221366 cites W2033330000 @default.
• W4386221366 cites W2042948547 @default.
• W4386221366 cites W2061455579 @default.
• W4386221366 cites W2098000549 @default.
• W4386221366 cites W2116901831 @default.
• W4386221366 cites W2119019397 @default.
• W4386221366 cites W2141519660 @default.
• W4386221366 cites W2146944586 @default.
• W4386221366 cites W2147191758 @default.
• W4386221366 cites W2168745297 @default.
• W4386221366 cites W2198679917 @default.
• W4386221366 cites W2480121964 @default.
• W4386221366 cites W2572455488 @default.
• W4386221366 cites W2579964591 @default.
• W4386221366 cites W2587057446 @default.
• W4386221366 cites W2601846890 @default.
• W4386221366 cites W2752077201 @default.
• W4386221366 cites W2786627029 @default.
• W4386221366 cites W2789558982 @default.
• W4386221366 cites W2916136711 @default.
• W4386221366 cites W2963359247 @default.
• W4386221366 cites W2964280104 @default.
• W4386221366 cites W2965036497 @default.
• W4386221366 cites W2996772801 @default.
• W4386221366 cites W2999695911 @default.
• W4386221366 cites W3044876939 @default.
• W4386221366 cites W3100632598 @default.
• W4386221366 cites W3120373191 @default.
• W4386221366 cites W3135904811 @default.
• W4386221366 cites W3176493728 @default.
• W4386221366 cites W3186021868 @default.
• W4386221366 cites W3208939737 @default.
• W4386221366 cites W4205293427 @default.
• W4386221366 cites W4236657544 @default.
• W4386221366 cites W4249513058 @default.
• W4386221366 cites W4302027585 @default.
• W4386221366 cites W4323539420 @default.
• W4386221366 doi "https://doi.org/10.1287/moor.2022.0286" @default.
• W4386221366 hasPublicationYear "2023" @default.
• W4386221366 type Work @default.
• W4386221366 citedByCount "0" @default.
• W4386221366 crossrefType "journal-article" @default.
• W4386221366 hasAuthorship W4386221366A5002436523 @default.
• W4386221366 hasAuthorship W4386221366A5008787209 @default.
• W4386221366 hasAuthorship W4386221366A5063969596 @default.
• W4386221366 hasConcept C105795698 @default.
• W4386221366 hasConcept C126255220 @default.
• W4386221366 hasConcept C134306372 @default.
• W4386221366 hasConcept C137836250 @default.
• W4386221366 hasConcept C153258448 @default.
• W4386221366 hasConcept C154945302 @default.
• W4386221366 hasConcept C189237950 @default.
• W4386221366 hasConcept C202444582 @default.
• W4386221366 hasConcept C22324862 @default.
• W4386221366 hasConcept C2524010 @default.
• W4386221366 hasConcept C28719098 @default.
• W4386221366 hasConcept C28826006 @default.
• W4386221366 hasConcept C33923547 @default.
• W4386221366 hasConcept C3770464 @default.
• W4386221366 hasConcept C41008148 @default.
• W4386221366 hasConcept C50644808 @default.
• W4386221366 hasConceptScore W4386221366C105795698 @default.
• W4386221366 hasConceptScore W4386221366C126255220 @default.
• W4386221366 hasConceptScore W4386221366C134306372 @default.
• W4386221366 hasConceptScore W4386221366C137836250 @default.
• W4386221366 hasConceptScore W4386221366C153258448 @default.
• W4386221366 hasConceptScore W4386221366C154945302 @default.
• W4386221366 hasConceptScore W4386221366C189237950 @default.
• W4386221366 hasConceptScore W4386221366C202444582 @default.
• W4386221366 hasConceptScore W4386221366C22324862 @default.
• W4386221366 hasConceptScore W4386221366C2524010 @default.
• W4386221366 hasConceptScore W4386221366C28719098 @default.
• W4386221366 hasConceptScore W4386221366C28826006 @default.
• W4386221366 hasConceptScore W4386221366C33923547 @default.
• W4386221366 hasConceptScore W4386221366C3770464 @default.
• W4386221366 hasConceptScore W4386221366C41008148 @default.

• next