Title
Distributional barycenter problem through data-driven flows
Abstract
•A new algorithm for the solution of the optimal transport barycenter problem on manifolds is proposed.•The algorithm allows the adoption of very general, non necessarily pairwise, cost functions.•The algorithm overcomes the adversarial nature of the barycenter problem.•A new cost function penalizing non-isotropic maps is introduced.•The efficacy of the method is illustrated on synthetic examples and on the MNIST data set.
Year
DOI
Venue
2022
10.1016/j.patcog.2022.108795
Pattern Recognition
Keywords
DocType
Volume
Optimal transport,Barycenter problem,Pattern visualization,Simulation,Generative models
Journal
130
ISSN
Citations 
PageRank 
0031-3203
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Tabak Esteban G111.72
Giulio Trigila201.01
Wenjun Zhao301.01