2 citations · 4 across the 3 of their papers we have counts for
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Sharp local sparsity of regularized optimal transport
Alberto González-Sanz, Rishabh S. Gvalani, Lukas Koch
In recent years, the use of entropy-regularized optimal transport with -type entropies has become increasingly popular. In this setting, the solutions are sparse, in the sense…
On a novel gradient flow structure for the aggregation equation
A. Esposito, R. S. Gvalani, A. Schlichting +1
The aggregation equation arises naturally in kinetic theory in the study of granular media, and its interpretation as a 2-Wasserstein gradient flow for the nonlocal interaction ene…
An invariance principle for gradient flows in the space of probability measures
J. A. Carrillo, R. S. Gvalani, J. Wu
We seek to establish qualitative convergence results to a general class of evolution PDEs described by gradient flows in optimal transportation distances. These qualitative converg…