Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287757584> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W4287757584 abstract "While theoretically appealing, the application of the Wasserstein distance to large-scale machine learning problems has been hampered by its prohibitive computational cost. The sliced Wasserstein distance and its variants improve the computational efficiency through the random projection, yet they suffer from low accuracy if the number of projections is not sufficiently large, because the majority of projections result in trivially small values. In this work, we propose a new family of distance metrics, called augmented sliced Wasserstein distances (ASWDs), constructed by first mapping samples to higher-dimensional hypersurfaces parameterized by neural networks. It is derived from a key observation that (random) linear projections of samples residing on these hypersurfaces would translate to much more flexible nonlinear projections in the original sample space, so they can capture complex structures of the data distribution. We show that the hypersurfaces can be optimized by gradient ascent efficiently. We provide the condition under which the ASWD is a valid metric and show that this can be obtained by an injective neural network architecture. Numerical results demonstrate that the ASWD significantly outperforms other Wasserstein variants for both synthetic and real-world problems." @default.
- W4287757584 created "2022-07-26" @default.
- W4287757584 creator A5007032481 @default.
- W4287757584 creator A5009866828 @default.
- W4287757584 creator A5072195876 @default.
- W4287757584 date "2020-06-15" @default.
- W4287757584 modified "2023-10-17" @default.
- W4287757584 title "Augmented Sliced Wasserstein Distances" @default.
- W4287757584 hasPublicationYear "2020" @default.
- W4287757584 type Work @default.
- W4287757584 citedByCount "0" @default.
- W4287757584 crossrefType "posted-content" @default.
- W4287757584 hasAuthorship W4287757584A5007032481 @default.
- W4287757584 hasAuthorship W4287757584A5009866828 @default.
- W4287757584 hasAuthorship W4287757584A5072195876 @default.
- W4287757584 hasBestOaLocation W42877575841 @default.
- W4287757584 hasConcept C11413529 @default.
- W4287757584 hasConcept C118615104 @default.
- W4287757584 hasConcept C126255220 @default.
- W4287757584 hasConcept C128107574 @default.
- W4287757584 hasConcept C154945302 @default.
- W4287757584 hasConcept C162324750 @default.
- W4287757584 hasConcept C165464430 @default.
- W4287757584 hasConcept C176217482 @default.
- W4287757584 hasConcept C21547014 @default.
- W4287757584 hasConcept C26517878 @default.
- W4287757584 hasConcept C2777634741 @default.
- W4287757584 hasConcept C28826006 @default.
- W4287757584 hasConcept C33923547 @default.
- W4287757584 hasConcept C38652104 @default.
- W4287757584 hasConcept C41008148 @default.
- W4287757584 hasConcept C50644808 @default.
- W4287757584 hasConcept C57493831 @default.
- W4287757584 hasConceptScore W4287757584C11413529 @default.
- W4287757584 hasConceptScore W4287757584C118615104 @default.
- W4287757584 hasConceptScore W4287757584C126255220 @default.
- W4287757584 hasConceptScore W4287757584C128107574 @default.
- W4287757584 hasConceptScore W4287757584C154945302 @default.
- W4287757584 hasConceptScore W4287757584C162324750 @default.
- W4287757584 hasConceptScore W4287757584C165464430 @default.
- W4287757584 hasConceptScore W4287757584C176217482 @default.
- W4287757584 hasConceptScore W4287757584C21547014 @default.
- W4287757584 hasConceptScore W4287757584C26517878 @default.
- W4287757584 hasConceptScore W4287757584C2777634741 @default.
- W4287757584 hasConceptScore W4287757584C28826006 @default.
- W4287757584 hasConceptScore W4287757584C33923547 @default.
- W4287757584 hasConceptScore W4287757584C38652104 @default.
- W4287757584 hasConceptScore W4287757584C41008148 @default.
- W4287757584 hasConceptScore W4287757584C50644808 @default.
- W4287757584 hasConceptScore W4287757584C57493831 @default.
- W4287757584 hasLocation W42877575841 @default.
- W4287757584 hasOpenAccess W4287757584 @default.
- W4287757584 hasPrimaryLocation W42877575841 @default.
- W4287757584 hasRelatedWork W10940543 @default.
- W4287757584 hasRelatedWork W10980626 @default.
- W4287757584 hasRelatedWork W1268192 @default.
- W4287757584 hasRelatedWork W12964577 @default.
- W4287757584 hasRelatedWork W1525806 @default.
- W4287757584 hasRelatedWork W3422034 @default.
- W4287757584 hasRelatedWork W6874446 @default.
- W4287757584 hasRelatedWork W81995 @default.
- W4287757584 hasRelatedWork W8259573 @default.
- W4287757584 hasRelatedWork W7365743 @default.
- W4287757584 isParatext "false" @default.
- W4287757584 isRetracted "false" @default.
- W4287757584 workType "article" @default.