Matches in SemOpenAlex for { <https://semopenalex.org/work/W4382323281> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W4382323281 abstract "Recently, several nonconvex sparse regularizers which can preserve the convexity of the cost function have received increasing attention. This paper proposes a general class of such convexity-preserving (CP) regularizers, termed partially smoothed difference-of-convex (pSDC) regularizer. The pSDC regularizer is formulated as a structured difference-of-convex (DC) function, where the landscape of the subtrahend function can be adjusted by a parameterized smoothing function so as to attain overall-convexity. Assigned with proper building blocks, the pSDC regularizer reproduces existing CP regularizers and opens the way to a large number of promising new ones. With respect to the resultant nonconvexly regularized convex (NRC) model, we derive a series of overall-convexity conditions which naturally embrace the conditions in previous works. Moreover, we develop a unified framework based on DC programming for solving the NRC model. Compared to previously reported proximal splitting type approaches, the proposed framework makes less stringent assumptions. We establish the convergence of the proposed framework to a global minimizer. Numerical experiments demonstrate the power of the pSDC regularizers and the efficiency of the proposed DC algorithm." @default.
- W4382323281 created "2023-06-28" @default.
- W4382323281 creator A5044544424 @default.
- W4382323281 creator A5060095783 @default.
- W4382323281 date "2023-06-26" @default.
- W4382323281 modified "2023-09-27" @default.
- W4382323281 title "A Unified Framework for Solving a General Class of Nonconvexly Regularized Convex Models" @default.
- W4382323281 doi "https://doi.org/10.48550/arxiv.2306.14663" @default.
- W4382323281 hasPublicationYear "2023" @default.
- W4382323281 type Work @default.
- W4382323281 citedByCount "0" @default.
- W4382323281 crossrefType "posted-content" @default.
- W4382323281 hasAuthorship W4382323281A5044544424 @default.
- W4382323281 hasAuthorship W4382323281A5060095783 @default.
- W4382323281 hasBestOaLocation W43823232811 @default.
- W4382323281 hasConcept C105795698 @default.
- W4382323281 hasConcept C106159729 @default.
- W4382323281 hasConcept C112680207 @default.
- W4382323281 hasConcept C11413529 @default.
- W4382323281 hasConcept C126255220 @default.
- W4382323281 hasConcept C14036430 @default.
- W4382323281 hasConcept C145446738 @default.
- W4382323281 hasConcept C154945302 @default.
- W4382323281 hasConcept C157972887 @default.
- W4382323281 hasConcept C162324750 @default.
- W4382323281 hasConcept C165464430 @default.
- W4382323281 hasConcept C2524010 @default.
- W4382323281 hasConcept C2777212361 @default.
- W4382323281 hasConcept C2777303404 @default.
- W4382323281 hasConcept C28826006 @default.
- W4382323281 hasConcept C33923547 @default.
- W4382323281 hasConcept C3770464 @default.
- W4382323281 hasConcept C41008148 @default.
- W4382323281 hasConcept C50522688 @default.
- W4382323281 hasConcept C72134830 @default.
- W4382323281 hasConcept C78458016 @default.
- W4382323281 hasConcept C86803240 @default.
- W4382323281 hasConceptScore W4382323281C105795698 @default.
- W4382323281 hasConceptScore W4382323281C106159729 @default.
- W4382323281 hasConceptScore W4382323281C112680207 @default.
- W4382323281 hasConceptScore W4382323281C11413529 @default.
- W4382323281 hasConceptScore W4382323281C126255220 @default.
- W4382323281 hasConceptScore W4382323281C14036430 @default.
- W4382323281 hasConceptScore W4382323281C145446738 @default.
- W4382323281 hasConceptScore W4382323281C154945302 @default.
- W4382323281 hasConceptScore W4382323281C157972887 @default.
- W4382323281 hasConceptScore W4382323281C162324750 @default.
- W4382323281 hasConceptScore W4382323281C165464430 @default.
- W4382323281 hasConceptScore W4382323281C2524010 @default.
- W4382323281 hasConceptScore W4382323281C2777212361 @default.
- W4382323281 hasConceptScore W4382323281C2777303404 @default.
- W4382323281 hasConceptScore W4382323281C28826006 @default.
- W4382323281 hasConceptScore W4382323281C33923547 @default.
- W4382323281 hasConceptScore W4382323281C3770464 @default.
- W4382323281 hasConceptScore W4382323281C41008148 @default.
- W4382323281 hasConceptScore W4382323281C50522688 @default.
- W4382323281 hasConceptScore W4382323281C72134830 @default.
- W4382323281 hasConceptScore W4382323281C78458016 @default.
- W4382323281 hasConceptScore W4382323281C86803240 @default.
- W4382323281 hasLocation W43823232811 @default.
- W4382323281 hasOpenAccess W4382323281 @default.
- W4382323281 hasPrimaryLocation W43823232811 @default.
- W4382323281 hasRelatedWork W2186962936 @default.
- W4382323281 hasRelatedWork W2240994664 @default.
- W4382323281 hasRelatedWork W2409606037 @default.
- W4382323281 hasRelatedWork W2520486606 @default.
- W4382323281 hasRelatedWork W2551814058 @default.
- W4382323281 hasRelatedWork W2805831752 @default.
- W4382323281 hasRelatedWork W2811008754 @default.
- W4382323281 hasRelatedWork W3007793521 @default.
- W4382323281 hasRelatedWork W3119221045 @default.
- W4382323281 hasRelatedWork W2062980523 @default.
- W4382323281 isParatext "false" @default.
- W4382323281 isRetracted "false" @default.
- W4382323281 workType "article" @default.