21 citations · 41 across the 6 of their papers we have counts for
7 papers
Exponential Convergence of the Sinkhorn Algorithm for the Schrödinger Bridge with Regime Switching
Katharina Eichinger, Anna Kazeykina, Zhenjie Ren +1
This paper studies the convergence of the Sinkhorn algorithm for the Schrödinger bridge problem with regime switching, as introduced in Zlotchevski and Chen (2025). We consider a c…
Near-Lipschitz stability of the Kim--Milman flow map
Sinho Chewi, Katharina Eichinger, Aram-Alexandre Pooladian
We prove that the Kim--Milman flow map enjoys favorable stability properties with respect to variations in the target measure, provided that one of the target measures is sufficien…
Wasserstein medians: robustness, PDE characterization and numerics
Guillaume Carlier, Enis Chenchene, Katharina Eichinger
We investigate the notion of Wasserstein median as an alternative to the Wasserstein barycenter, which has become popular but may be sensitive to outliers. In terms of robustness t…
Monge-Kantorovich interpolation with constraints and application to a parking problem
Giuseppe Buttazzo, Guillaume Carlier, Katharina Eichinger
We consider optimal transport problems where the cost for transporting a given probability measure to another one consists of two parts: the first one measures the tran…
Entropic-Wasserstein barycenters: PDE characterization, regularity and CLT
Guillaume Carlier, Katharina Eichinger, Alexey Kroshnin
In this paper, we investigate properties of entropy-penalized Wasserstein barycenters introduced by Bigot, Cazelles and Papadakis (2019) as a regularization of Wasserstein barycent…
Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations
Katharina Eichinger, Manuel V. Gnann, Christian Kuehn
We investigate the stability of traveling-pulse solutions to the stochastic FitzHughNagumo equations with additive noise. Special attention is given to the effect of small noise on…
Sample Paths Estimates for Stochastic Fast-Slow Systems driven by Fractional Brownian Motion
Katharina Eichinger, Christian Kuehn, Alexandra Neamtu
We analyze the effect of additive fractional noise with Hurst parameter on fast-slow systems. Our strategy is based on sample paths estimates, similar to the appr…