Tight Bounds for Schr\"odinger Potential Estimation in Unpaired Data Translation

ArXi:2508.07392v3 Announce Type: replace Modern methods of generative modelling and unpaired data translation based on Schr\"odinger bridges and stochastic optimal control theory aim to transform an initial density to a target one in an optimal way. In the present paper, we assume that we only have access to i.i.d. samples from the initial and final distributions. This makes our setup suitable for both generative modelling and unpaired data translation.