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math.PR2025
Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity
Giacomo Greco, Luca Tamanini
In this paper we determine quantitative stability bounds for the Hessian of entropic potentials, \ie, the dual solution to the entropic optimal transport problem. To the authors' k…
math.MG2025★ 1 cited
The infimal convolution structure of the Hellinger-Kantorovich distance
Nicolò De Ponti, Giacomo Enrico Sodini, Luca Tamanini
We show that the Hellinger-Kantorovich distance can be expressed as the metric infimal convolution of the Hellinger and the Wasserstein distances, as conjectured by Liero, Mielke,…