Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320002155> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4320002155 abstract "Optimal Transport, a theory for optimal allocation of resources, is widely used in various fields such as astrophysics, machine learning, and imaging science. However, many applications impose elementwise constraints on the transport plan which traditional optimal transport cannot enforce. Here we introduce Supervised Optimal Transport (sOT) that formulates a constrained optimal transport problem where couplings between certain elements are prohibited according to specific applications. sOT is proved to be equivalent to an $l^1$ penalized optimization problem, from which efficient algorithms are designed to solve its entropy regularized formulation. We demonstrate the capability of sOT by comparing it to other variants and extensions of traditional OT in color transfer problem. We also study the barycenter problem in sOT formulation, where we discover and prove a unique reverse and portion selection (control) mechanism. Supervised optimal transport is broadly applicable to applications in which constrained transport plan is involved and the original unit should be preserved by avoiding normalization." @default.
- W4320002155 created "2023-02-11" @default.
- W4320002155 creator A5015551610 @default.
- W4320002155 creator A5021484581 @default.
- W4320002155 creator A5076311980 @default.
- W4320002155 date "2022-06-27" @default.
- W4320002155 modified "2023-09-29" @default.
- W4320002155 title "Supervised Optimal Transport" @default.
- W4320002155 doi "https://doi.org/10.48550/arxiv.2206.13410" @default.
- W4320002155 hasPublicationYear "2022" @default.
- W4320002155 type Work @default.
- W4320002155 citedByCount "0" @default.
- W4320002155 crossrefType "posted-content" @default.
- W4320002155 hasAuthorship W4320002155A5015551610 @default.
- W4320002155 hasAuthorship W4320002155A5021484581 @default.
- W4320002155 hasAuthorship W4320002155A5076311980 @default.
- W4320002155 hasBestOaLocation W43200021551 @default.
- W4320002155 hasConcept C106301342 @default.
- W4320002155 hasConcept C121332964 @default.
- W4320002155 hasConcept C126255220 @default.
- W4320002155 hasConcept C136886441 @default.
- W4320002155 hasConcept C144024400 @default.
- W4320002155 hasConcept C154945302 @default.
- W4320002155 hasConcept C19165224 @default.
- W4320002155 hasConcept C33923547 @default.
- W4320002155 hasConcept C41008148 @default.
- W4320002155 hasConcept C62520636 @default.
- W4320002155 hasConcept C81917197 @default.
- W4320002155 hasConcept C91575142 @default.
- W4320002155 hasConcept C9679016 @default.
- W4320002155 hasConceptScore W4320002155C106301342 @default.
- W4320002155 hasConceptScore W4320002155C121332964 @default.
- W4320002155 hasConceptScore W4320002155C126255220 @default.
- W4320002155 hasConceptScore W4320002155C136886441 @default.
- W4320002155 hasConceptScore W4320002155C144024400 @default.
- W4320002155 hasConceptScore W4320002155C154945302 @default.
- W4320002155 hasConceptScore W4320002155C19165224 @default.
- W4320002155 hasConceptScore W4320002155C33923547 @default.
- W4320002155 hasConceptScore W4320002155C41008148 @default.
- W4320002155 hasConceptScore W4320002155C62520636 @default.
- W4320002155 hasConceptScore W4320002155C81917197 @default.
- W4320002155 hasConceptScore W4320002155C91575142 @default.
- W4320002155 hasConceptScore W4320002155C9679016 @default.
- W4320002155 hasLocation W43200021551 @default.
- W4320002155 hasOpenAccess W4320002155 @default.
- W4320002155 hasPrimaryLocation W43200021551 @default.
- W4320002155 hasRelatedWork W179189912 @default.
- W4320002155 hasRelatedWork W1995096430 @default.
- W4320002155 hasRelatedWork W2041176768 @default.
- W4320002155 hasRelatedWork W2063185616 @default.
- W4320002155 hasRelatedWork W2099558762 @default.
- W4320002155 hasRelatedWork W3038107571 @default.
- W4320002155 hasRelatedWork W3151613552 @default.
- W4320002155 hasRelatedWork W3190725526 @default.
- W4320002155 hasRelatedWork W4233591588 @default.
- W4320002155 hasRelatedWork W4311488779 @default.
- W4320002155 isParatext "false" @default.
- W4320002155 isRetracted "false" @default.
- W4320002155 workType "article" @default.