Aug 8, 2019 · We propose a variational method to generalize cubic splines on the space of densities using multimarginal optimal transport.

Jan 12, 2018 · We explore two different numerical approaches, one based on multi-marginal optimal transport and entropic regularization and the other based on semi-discrete ...

Jul 25, 2018 · On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline ...

On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation.

We explore two different numerical approaches, one based on multi-marginal optimal transport and entropic regularization and the other based on semi-discrete ...

Oct 22, 2024 · On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline ...

Second-Order Models for Optimal Transport and Cubic Splines on the Wasserstein Space ... Model for Time-Dependent Data Interpolation: Splines on Shape Spaces.

Second order models for optimal transport and cubic splines on the wasserstein space. Preprint arXiv:1801.04144 , 2018. B. Khesin and R. Wendt. The geometry ...

Jul 26, 2018 · Second order models for optimal transport and cubic splines on the wasserstein space. Preprint arXiv:1801.04144, 2018. [15] B. Khesin and R ...

Jan 19, 2024 · Abstract. This paper investigates a time discrete variational model for splines in Wasserstein spaces to interpolate probability measures.