26 citations · 57 across the 8 of their papers we have counts for
8 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)…
Multi-marginal Approximation of the Linear Gromov-Wasserstein Distance
Florian Beier, Robert Beinert
Recently, two concepts from optimal transport theory have successfully been brought to the Gromov--Wasserstein (GW) setting. This introduces a linear version of the GW distance and…
Multi-Marginal Gromov-Wasserstein Transport and Barycenters
Florian Beier, Robert Beinert, Gabriele Steidl
Gromov-Wasserstein (GW) distances are combinations of Gromov-Hausdorff and Wasserstein distances that allow the comparison of two different metric measure spaces (mm-spaces). Due t…
On a linear Gromov-Wasserstein distance
Florian Beier, Robert Beinert, Gabriele Steidl
Gromov-Wasserstein distances are generalization of Wasserstein distances, which are invariant under distance preserving transformations. Although a simplified version of optimal tr…
Unbalanced Multi-Marginal Optimal Transport
Florian Beier, Johannes von Lindheim, Sebastian Neumayer +1
Entropy regularized optimal transport and its multi-marginal generalization have attracted increasing attention in various applications, in particular due to efficient Sinkhorn-lik…