FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3044218236> ?p ?o ?g. }

• W3044218236 abstract "Nonlinearly constrained nonconvex and nonsmooth optimization models play an increasingly important role in machine learning, statistics, and data analytics. In this paper, based on the augmented Lagrangian function, we introduce a flexible first-order primal-dual method, to be called nonconvex auxiliary problem principle of augmented Lagrangian (NAPP-AL), for solving a class of nonlinearly constrained nonconvex and nonsmooth optimization problems. We demonstrate that NAPP-AL converges to a stationary solution at the rate of [Formula: see text], where k is the number of iterations. Moreover, under an additional error bound condition (to be called HVP-EB in the paper) with exponent [Formula: see text], we further show the global convergence of NAPP-AL. Additionally, if [Formula: see text], then we furthermore show that the convergence rate is in fact linear. Finally, we show that the well-known Kurdyka-Łojasiewicz property and the Hölderian metric subregularity imply the aforementioned HVP-EB condition. We demonstrate that under mild conditions, NAPP-AL can also be interpreted as a variant of the forward-backward operator splitting method in this context. Funding: This work was supported by the National Natural Science Foundation of China [Grant 71871140]." @default.
• W3044218236 created "2020-07-29" @default.
• W3044218236 creator A5002059219 @default.
• W3044218236 creator A5057532931 @default.
• W3044218236 creator A5089542160 @default.
• W3044218236 date "2023-03-20" @default.
• W3044218236 modified "2023-10-16" @default.
• W3044218236 title "A First-Order Primal-Dual Method for Nonconvex Constrained Optimization Based on the Augmented Lagrangian" @default.
• W3044218236 cites W1583089965 @default.
• W3044218236 cites W1967138577 @default.
• W3044218236 cites W1996657094 @default.
• W3044218236 cites W2024619334 @default.
• W3044218236 cites W2027982384 @default.
• W3044218236 cites W2039050532 @default.
• W3044218236 cites W2047620357 @default.
• W3044218236 cites W2065742895 @default.
• W3044218236 cites W2079261074 @default.
• W3044218236 cites W2107861471 @default.
• W3044218236 cites W2119667497 @default.
• W3044218236 cites W2149298154 @default.
• W3044218236 cites W2150115559 @default.
• W3044218236 cites W2277973662 @default.
• W3044218236 cites W2295652899 @default.
• W3044218236 cites W2420341751 @default.
• W3044218236 cites W2730411900 @default.
• W3044218236 cites W2798574788 @default.
• W3044218236 cites W2800693632 @default.
• W3044218236 cites W2807024067 @default.
• W3044218236 cites W2943262196 @default.
• W3044218236 cites W2962853966 @default.
• W3044218236 cites W2962977105 @default.
• W3044218236 cites W2963122491 @default.
• W3044218236 cites W2963967579 @default.
• W3044218236 cites W2964266674 @default.
• W3044218236 cites W2964271484 @default.
• W3044218236 cites W3023212902 @default.
• W3044218236 cites W3048490699 @default.
• W3044218236 cites W3100208521 @default.
• W3044218236 cites W3157341860 @default.
• W3044218236 cites W4220951327 @default.
• W3044218236 cites W4292363360 @default.
• W3044218236 doi "https://doi.org/10.1287/moor.2022.1350" @default.
• W3044218236 hasPublicationYear "2023" @default.
• W3044218236 type Work @default.
• W3044218236 sameAs 3044218236 @default.
• W3044218236 citedByCount "1" @default.
• W3044218236 countsByYear W30442182362021 @default.
• W3044218236 crossrefType "journal-article" @default.
• W3044218236 hasAuthorship W3044218236A5002059219 @default.
• W3044218236 hasAuthorship W3044218236A5057532931 @default.
• W3044218236 hasAuthorship W3044218236A5089542160 @default.
• W3044218236 hasBestOaLocation W30442182362 @default.
• W3044218236 hasConcept C126255220 @default.
• W3044218236 hasConcept C127162648 @default.
• W3044218236 hasConcept C150452318 @default.
• W3044218236 hasConcept C151730666 @default.
• W3044218236 hasConcept C162324750 @default.
• W3044218236 hasConcept C176217482 @default.
• W3044218236 hasConcept C21547014 @default.
• W3044218236 hasConcept C2777303404 @default.
• W3044218236 hasConcept C2779343474 @default.
• W3044218236 hasConcept C28826006 @default.
• W3044218236 hasConcept C31258907 @default.
• W3044218236 hasConcept C33923547 @default.
• W3044218236 hasConcept C41008148 @default.
• W3044218236 hasConcept C50522688 @default.
• W3044218236 hasConcept C53469067 @default.
• W3044218236 hasConcept C57869625 @default.
• W3044218236 hasConcept C86803240 @default.
• W3044218236 hasConceptScore W3044218236C126255220 @default.
• W3044218236 hasConceptScore W3044218236C127162648 @default.
• W3044218236 hasConceptScore W3044218236C150452318 @default.
• W3044218236 hasConceptScore W3044218236C151730666 @default.
• W3044218236 hasConceptScore W3044218236C162324750 @default.
• W3044218236 hasConceptScore W3044218236C176217482 @default.
• W3044218236 hasConceptScore W3044218236C21547014 @default.
• W3044218236 hasConceptScore W3044218236C2777303404 @default.
• W3044218236 hasConceptScore W3044218236C2779343474 @default.
• W3044218236 hasConceptScore W3044218236C28826006 @default.
• W3044218236 hasConceptScore W3044218236C31258907 @default.
• W3044218236 hasConceptScore W3044218236C33923547 @default.
• W3044218236 hasConceptScore W3044218236C41008148 @default.
• W3044218236 hasConceptScore W3044218236C50522688 @default.
• W3044218236 hasConceptScore W3044218236C53469067 @default.
• W3044218236 hasConceptScore W3044218236C57869625 @default.
• W3044218236 hasConceptScore W3044218236C86803240 @default.
• W3044218236 hasLocation W30442182361 @default.
• W3044218236 hasLocation W30442182362 @default.
• W3044218236 hasOpenAccess W3044218236 @default.
• W3044218236 hasPrimaryLocation W30442182361 @default.
• W3044218236 hasRelatedWork W2014144554 @default.
• W3044218236 hasRelatedWork W2169442370 @default.
• W3044218236 hasRelatedWork W2315802443 @default.
• W3044218236 hasRelatedWork W2351418506 @default.
• W3044218236 hasRelatedWork W2593225479 @default.
• W3044218236 hasRelatedWork W2786354534 @default.
• W3044218236 hasRelatedWork W4200199232 @default.
• W3044218236 hasRelatedWork W4282813837 @default.
• W3044218236 hasRelatedWork W4297142593 @default.
• W3044218236 hasRelatedWork W4320409946 @default.

• next