4 papers
Gromov-Wasserstein Quantization and Clustering: Structure, Rates, and Algorithms
Florian Beier, Stephan Eckstein
Clustering is a fundamental class of data analysis techniques with the most important representatives being centroid-based methods like -means. Such methods are strongly connect…
Joint Metric Space Embedding by Unbalanced OT with Gromov-Wasserstein Marginal Penalization
Florian Beier, Moritz Piening, Robert Beinert +1
We propose a new approach for unsupervised alignment of heterogeneous datasets, which maps data from two different domains without any known correspondences to a common metric spac…
Tangential Fixpoint Iterations for Gromov-Wasserstein Barycenters
Florian Beier, Robert Beinert
The Gromov-Wasserstein (GW) transport problem is a relaxation of classic optimal transport, which seeks a transport between two measures while preserving their internal geometry. D…
Transfer Operators from Batches of Unpaired Points via Entropic Transport Kernels
Florian Beier, Hancheng Bi, Clément Sarrazin +2
In this paper, we are concerned with estimating the joint probability of random variables and , given independent observation blocks $(\boldsymbol{x}^i,\boldsymbol{y}^i)…