Constrained Hellinger-Kantorovich barycenters: least-cost soft and conic multimarginal formulations
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Publication:6664426
DOI10.1137/24m1639804MaRDI QIDQ6664426
Publication date: 16 January 2025
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Variational problems in a geometric measure-theoretic setting (49Q20) Optimal transportation (49Q22)
Cites Work
- Multi-marginal optimal transport and multi-agent matching problems: uniqueness and structure of solutions
- On the local structure of optimal measures in the multi-marginal optimal transportation problem
- Matching for teams
- 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
- Barycenters in the Hellinger-Kantorovich space
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Barycenters in the Wasserstein Space
- Barycenters for the Hellinger--Kantorovich Distance Over $\mathbb{R}^d$
- Multi-marginal optimal transport: Theory and applications
- Optimal maps for the multidimensional Monge-Kantorovich problem
- Multimarginal Optimal Transport with a Tree-Structured Cost and the Schrödinger Bridge Problem
- Optimal Transport
- Polynomial-time algorithms for multimarginal optimal transport problems with structure
- The GenCol Algorithm for High-Dimensional Optimal Transport: General Formulation and Application to Barycenters and Wasserstein Splines
- Hellinger–Kantorovich barycenter between Dirac measures
- Unbalanced multi-marginal optimal transport
- Fine properties of geodesics and geodesic \(\lambda\)-convexity for the Hellinger-Kantorovich distance
- A general framework for multi-marginal optimal transport
- \(p\)-Wasserstein barycenters
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