Matches in SemOpenAlex for { <https://semopenalex.org/work/W4286909338> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4286909338 abstract "With the discovery of Wasserstein GANs, Optimal Transport (OT) has become a powerful tool for large-scale generative modeling tasks. In these tasks, OT cost is typically used as the loss for training GANs. In contrast to this approach, we show that the OT map itself can be used as a generative model, providing comparable performance. Previous analogous approaches consider OT maps as generative models only in the latent spaces due to their poor performance in the original high-dimensional ambient space. In contrast, we apply OT maps directly in the ambient space, e.g., a space of high-dimensional images. First, we derive a min-max optimization algorithm to efficiently compute OT maps for the quadratic cost (Wasserstein-2 distance). Next, we extend the approach to the case when the input and output distributions are located in the spaces of different dimensions and derive error bounds for the computed OT map. We evaluate the algorithm on image generation and unpaired image restoration tasks. In particular, we consider denoising, colorization, and inpainting, where the optimality of the restoration map is a desired attribute, since the output (restored) image is expected to be close to the input (degraded) one." @default.
- W4286909338 created "2022-07-25" @default.
- W4286909338 creator A5052553707 @default.
- W4286909338 creator A5056141660 @default.
- W4286909338 creator A5088950452 @default.
- W4286909338 date "2021-10-06" @default.
- W4286909338 modified "2023-10-07" @default.
- W4286909338 title "Generative Modeling with Optimal Transport Maps" @default.
- W4286909338 doi "https://doi.org/10.48550/arxiv.2110.02999" @default.
- W4286909338 hasPublicationYear "2021" @default.
- W4286909338 type Work @default.
- W4286909338 citedByCount "0" @default.
- W4286909338 crossrefType "posted-content" @default.
- W4286909338 hasAuthorship W4286909338A5052553707 @default.
- W4286909338 hasAuthorship W4286909338A5056141660 @default.
- W4286909338 hasAuthorship W4286909338A5088950452 @default.
- W4286909338 hasBestOaLocation W42869093381 @default.
- W4286909338 hasConcept C111919701 @default.
- W4286909338 hasConcept C11413529 @default.
- W4286909338 hasConcept C115961682 @default.
- W4286909338 hasConcept C11727466 @default.
- W4286909338 hasConcept C126255220 @default.
- W4286909338 hasConcept C129844170 @default.
- W4286909338 hasConcept C153180895 @default.
- W4286909338 hasConcept C154945302 @default.
- W4286909338 hasConcept C167966045 @default.
- W4286909338 hasConcept C205649164 @default.
- W4286909338 hasConcept C2524010 @default.
- W4286909338 hasConcept C2776502983 @default.
- W4286909338 hasConcept C2778572836 @default.
- W4286909338 hasConcept C2778755073 @default.
- W4286909338 hasConcept C33923547 @default.
- W4286909338 hasConcept C39890363 @default.
- W4286909338 hasConcept C41008148 @default.
- W4286909338 hasConcept C58640448 @default.
- W4286909338 hasConceptScore W4286909338C111919701 @default.
- W4286909338 hasConceptScore W4286909338C11413529 @default.
- W4286909338 hasConceptScore W4286909338C115961682 @default.
- W4286909338 hasConceptScore W4286909338C11727466 @default.
- W4286909338 hasConceptScore W4286909338C126255220 @default.
- W4286909338 hasConceptScore W4286909338C129844170 @default.
- W4286909338 hasConceptScore W4286909338C153180895 @default.
- W4286909338 hasConceptScore W4286909338C154945302 @default.
- W4286909338 hasConceptScore W4286909338C167966045 @default.
- W4286909338 hasConceptScore W4286909338C205649164 @default.
- W4286909338 hasConceptScore W4286909338C2524010 @default.
- W4286909338 hasConceptScore W4286909338C2776502983 @default.
- W4286909338 hasConceptScore W4286909338C2778572836 @default.
- W4286909338 hasConceptScore W4286909338C2778755073 @default.
- W4286909338 hasConceptScore W4286909338C33923547 @default.
- W4286909338 hasConceptScore W4286909338C39890363 @default.
- W4286909338 hasConceptScore W4286909338C41008148 @default.
- W4286909338 hasConceptScore W4286909338C58640448 @default.
- W4286909338 hasLocation W42869093381 @default.
- W4286909338 hasOpenAccess W4286909338 @default.
- W4286909338 hasPrimaryLocation W42869093381 @default.
- W4286909338 hasRelatedWork W2097039814 @default.
- W4286909338 hasRelatedWork W2765218075 @default.
- W4286909338 hasRelatedWork W2953250761 @default.
- W4286909338 hasRelatedWork W2980434498 @default.
- W4286909338 hasRelatedWork W3005222003 @default.
- W4286909338 hasRelatedWork W3082497595 @default.
- W4286909338 hasRelatedWork W3119817202 @default.
- W4286909338 hasRelatedWork W3138191229 @default.
- W4286909338 hasRelatedWork W3170725129 @default.
- W4286909338 hasRelatedWork W4229064891 @default.
- W4286909338 isParatext "false" @default.
- W4286909338 isRetracted "false" @default.
- W4286909338 workType "article" @default.