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pro vyhledávání: '"Penka, Maximilian"'
Autor:
Penka, Maximilian
Recent theoretical results on adversarial multi-class classification showed a similarity to the multi-marginal formulation of Wasserstein-barycenter in optimal transport. Unfortunately, both problems suffer from the curse of dimension, making it hard
Externí odkaz:
http://arxiv.org/abs/2406.08331
Autor:
Friesecke, Gero, Penka, Maximilian
The recently introduced Genetic Column Generation (GenCol) algorithm has been numerically observed to efficiently and accurately compute high-dimensional optimal transport plans for general multi-marginal problems, but theoretical results on the algo
Externí odkaz:
http://arxiv.org/abs/2303.07137
Autor:
Friesecke, Gero, Penka, Maximilian
We extend the recently introduced genetic column generation algorithm for high-dimensional multi-marginal optimal transport from symmetric to general problems. We use the algorithm to calculate accurate mesh-free Wasserstein barycenters and cubic Was
Externí odkaz:
http://arxiv.org/abs/2209.09081
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