Matches in SemOpenAlex for { <https://semopenalex.org/work/W4289777328> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W4289777328 abstract "An adaptive, adversarial methodology is developed for the optimal transport problem between two distributions $mu$ and $nu$, known only through a finite set of independent samples $(x_i)_{i=1..N}$ and $(y_j)_{j=1..M}$. The methodology automatically creates features that adapt to the data, thus avoiding reliance on a priori knowledge of data distribution. Specifically, instead of a discrete point-bypoint assignment, the new procedure seeks an optimal map $T(x)$ defined for all $x$, minimizing the Kullback-Leibler divergence between $(T(xi))$ and the target $(y_j)$. The relative entropy is given a sample-based, variational characterization, thereby creating an adversarial setting: as one player seeks to push forward one distribution to the other, the second player develops features that focus on those areas where the two distributions fail to match. The procedure solves local problems matching consecutive, intermediate distributions between $mu$ and $nu$. As a result, maps of arbitrary complexity can be built by composing the simple maps used for each local problem. Displaced interpolation is used to guarantee global from local optimality. The procedure is illustrated through synthetic examples in one and two dimensions." @default.
- W4289777328 created "2022-08-04" @default.
- W4289777328 creator A5031687111 @default.
- W4289777328 creator A5033088007 @default.
- W4289777328 creator A5066014786 @default.
- W4289777328 date "2018-07-01" @default.
- W4289777328 modified "2023-09-26" @default.
- W4289777328 title "Adaptive Optimal Transport" @default.
- W4289777328 doi "https://doi.org/10.48550/arxiv.1807.00393" @default.
- W4289777328 hasPublicationYear "2018" @default.
- W4289777328 type Work @default.
- W4289777328 citedByCount "0" @default.
- W4289777328 crossrefType "posted-content" @default.
- W4289777328 hasAuthorship W4289777328A5031687111 @default.
- W4289777328 hasAuthorship W4289777328A5033088007 @default.
- W4289777328 hasAuthorship W4289777328A5066014786 @default.
- W4289777328 hasBestOaLocation W42897773281 @default.
- W4289777328 hasConcept C104114177 @default.
- W4289777328 hasConcept C105795698 @default.
- W4289777328 hasConcept C106301342 @default.
- W4289777328 hasConcept C110121322 @default.
- W4289777328 hasConcept C111472728 @default.
- W4289777328 hasConcept C11413529 @default.
- W4289777328 hasConcept C120665830 @default.
- W4289777328 hasConcept C121332964 @default.
- W4289777328 hasConcept C126255220 @default.
- W4289777328 hasConcept C134306372 @default.
- W4289777328 hasConcept C137800194 @default.
- W4289777328 hasConcept C138885662 @default.
- W4289777328 hasConcept C154945302 @default.
- W4289777328 hasConcept C165064840 @default.
- W4289777328 hasConcept C171250308 @default.
- W4289777328 hasConcept C171752962 @default.
- W4289777328 hasConcept C177264268 @default.
- W4289777328 hasConcept C192209626 @default.
- W4289777328 hasConcept C192562407 @default.
- W4289777328 hasConcept C199360897 @default.
- W4289777328 hasConcept C207390915 @default.
- W4289777328 hasConcept C2524010 @default.
- W4289777328 hasConcept C2780586882 @default.
- W4289777328 hasConcept C2780841128 @default.
- W4289777328 hasConcept C28719098 @default.
- W4289777328 hasConcept C33923547 @default.
- W4289777328 hasConcept C41008148 @default.
- W4289777328 hasConcept C41895202 @default.
- W4289777328 hasConcept C62520636 @default.
- W4289777328 hasConcept C75553542 @default.
- W4289777328 hasConcept C9679016 @default.
- W4289777328 hasConceptScore W4289777328C104114177 @default.
- W4289777328 hasConceptScore W4289777328C105795698 @default.
- W4289777328 hasConceptScore W4289777328C106301342 @default.
- W4289777328 hasConceptScore W4289777328C110121322 @default.
- W4289777328 hasConceptScore W4289777328C111472728 @default.
- W4289777328 hasConceptScore W4289777328C11413529 @default.
- W4289777328 hasConceptScore W4289777328C120665830 @default.
- W4289777328 hasConceptScore W4289777328C121332964 @default.
- W4289777328 hasConceptScore W4289777328C126255220 @default.
- W4289777328 hasConceptScore W4289777328C134306372 @default.
- W4289777328 hasConceptScore W4289777328C137800194 @default.
- W4289777328 hasConceptScore W4289777328C138885662 @default.
- W4289777328 hasConceptScore W4289777328C154945302 @default.
- W4289777328 hasConceptScore W4289777328C165064840 @default.
- W4289777328 hasConceptScore W4289777328C171250308 @default.
- W4289777328 hasConceptScore W4289777328C171752962 @default.
- W4289777328 hasConceptScore W4289777328C177264268 @default.
- W4289777328 hasConceptScore W4289777328C192209626 @default.
- W4289777328 hasConceptScore W4289777328C192562407 @default.
- W4289777328 hasConceptScore W4289777328C199360897 @default.
- W4289777328 hasConceptScore W4289777328C207390915 @default.
- W4289777328 hasConceptScore W4289777328C2524010 @default.
- W4289777328 hasConceptScore W4289777328C2780586882 @default.
- W4289777328 hasConceptScore W4289777328C2780841128 @default.
- W4289777328 hasConceptScore W4289777328C28719098 @default.
- W4289777328 hasConceptScore W4289777328C33923547 @default.
- W4289777328 hasConceptScore W4289777328C41008148 @default.
- W4289777328 hasConceptScore W4289777328C41895202 @default.
- W4289777328 hasConceptScore W4289777328C62520636 @default.
- W4289777328 hasConceptScore W4289777328C75553542 @default.
- W4289777328 hasConceptScore W4289777328C9679016 @default.
- W4289777328 hasLocation W42897773281 @default.
- W4289777328 hasOpenAccess W4289777328 @default.
- W4289777328 hasPrimaryLocation W42897773281 @default.
- W4289777328 hasRelatedWork W1600286271 @default.
- W4289777328 hasRelatedWork W1963892706 @default.
- W4289777328 hasRelatedWork W2051391659 @default.
- W4289777328 hasRelatedWork W2129108063 @default.
- W4289777328 hasRelatedWork W2163103544 @default.
- W4289777328 hasRelatedWork W2972329473 @default.
- W4289777328 hasRelatedWork W3033899355 @default.
- W4289777328 hasRelatedWork W3080201650 @default.
- W4289777328 hasRelatedWork W3098033783 @default.
- W4289777328 hasRelatedWork W3124794764 @default.
- W4289777328 isParatext "false" @default.
- W4289777328 isRetracted "false" @default.
- W4289777328 workType "article" @default.