Barycenters for the Hellinger--Kantorovich Distance Over $\mathbb{R}^d$
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Publication:3387578
DOI10.1137/20M1315555zbMath1457.49032arXiv1910.14572OpenAlexW3118441394MaRDI QIDQ3387578
Bernhard Schmitzer, Daniel Matthes, Gero Friesecke
Publication date: 13 January 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14572
Related Items (6)
Unbalanced optimal total variation transport problems and generalized Wasserstein barycenters ⋮ Hellinger–Kantorovich barycenter between Dirac measures ⋮ Unbalanced multi-marginal optimal transport ⋮ Barycenters in the Hellinger-Kantorovich space ⋮ Kantorovich-Rubinstein distance and barycenter for finitely supported measures: foundations and algorithms ⋮ The Linearized Hellinger--Kantorovich Distance
Cites Work
- Unnamed Item
- A fixed-point approach to barycenters in Wasserstein space
- Matching for teams
- Integral representation of convex functions on a space of measures
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- A new optimal transport distance on the space of finite Radon measures
- Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
- An interpolating distance between optimal transport and Fisher-Rao metrics
- Unbalanced optimal transport: dynamic and Kantorovich formulations
- Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures
- Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional
- Optimal transportation with infinitely many marginals
- Barycenters in the Hellinger-Kantorovich space
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Existence and consistency of Wasserstein barycenters
- Integrals which are convex functionals. II
- On the Translocation of Masses
- Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves
- Consistent Procedures for Cluster Tree Estimation and Pruning
- Barycenters in the Wasserstein Space
- Scaling algorithms for unbalanced optimal transport problems
- Optimal maps for the multidimensional Monge-Kantorovich problem
- Characterization of barycenters in the Wasserstein space by averaging optimal transport maps
- Density Functional Theory and Optimal Transportation with Coulomb Cost
- Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems
- Verteilungsfunktionen mit gegebenen Marginalverteilungen
- Barcodes: The persistent topology of data
- Letter to the Editor—The Multidimensional Assignment Problem
- Optimal Transport
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