19 citations · 61 across the 11 of their papers we have counts for
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Kinetic correlation functionals from the entropic regularisation of the strictly-correlated electrons problem
Augusto Gerolin, Juri Grossi, Paola Gori-Giorgi
We investigate whether the entropic regularisation of the strictly-correlated-electrons problem can be used to build approximations for the kinetic correlation energy functional at…
An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm
Simone Di Marino, Augusto Gerolin
This paper exploit the equivalence between the Schrödinger Bridge problem and the entropy penalized optimal transport in order to find a different approach to the duality, in the s…
How Well Do WGANs Estimate the Wasserstein Metric?
Anton Mallasto, Guido Montúfar, Augusto Gerolin
Generative modelling is often cast as minimizing a similarity measure between a data distribution and a model distribution. Recently, a popular choice for the similarity measure ha…
Multi-marginal Entropy-Transport with repulsive cost
Augusto Gerolin, Anna Kausamo, Tapio Rajala
In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer i…