Alexander Korotin
Alexander Korotin
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Large-Scale Wasserstein Gradient Flows
We propose a scalable method to approximate diffusion processes via Wasserstein-2 gradient flows empowered by input-convex neural networks and Jordan-Kinderlehrer-Otto time discretization.
Petr Mokrov
,
Alexander Korotin
,
Lingxiao Li
,
Aude Genevay
,
Justin Solomon
,
Evgeny Burnaev
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OpenReview
Manifold Topology Divergence: a Framework for Comparing Data Manifolds
We introduce a topology-based domain agnostic methodology for comparing data manifolds.
Serguei Barannikov
,
Ilya Trofimov
,
Grigorii Sotnikov
,
Ekaterina Trimbach
,
Alexander Korotin
,
Alexander Filippov
,
Evgeny Burnaev
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OpenReview
Continuous Wasserstein-2 Barycenter Estimation without Minimax Optimization
We present a new algorithm to compute Wasserstein-2 barycenters of continuous distributions powered by a straightforward optimization procedure without introducing bias or a generative model.
Alexander Korotin
,
Lingxiao Li
,
Justin Solomon
,
Evgeny Burnaev
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Poster
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OpenReview
Wasserstein-2 Generative Networks
We present a new end-to-end algorithm to compute optimal transport maps between continuous distributions without introducing bias or resorting to minimax optimization.
Alexander Korotin
,
Vage Egiazarian
,
Arip Asadulaev
,
Alexander Safin
,
Evgeny Burnaev
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Poster
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OpenReview
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