The Riemannian geometry of Sinkhorn divergences
Fuente:
arXiv
Saved in:
| Main Authors: | Lavenant, Hugo, Luckhardt, Jonas, Mordant, Gilles, Schmitzer, Bernhard, Tamanini, Luca |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Two-point dilation-homogeneous metric spaces
by: Niemiec, Piotr
Published: (2025)
by: Niemiec, Piotr
Published: (2025)
On the geometry of Wasserstein barycenter I
by: Han, Bang-Xian, et al.
Published: (2024)
by: Han, Bang-Xian, et al.
Published: (2024)
Causal convergence conditions through variable timelike Ricci curvature bounds
by: Braun, Mathias, et al.
Published: (2023)
by: Braun, Mathias, et al.
Published: (2023)
Algebraic Distance Optimization in Polyhedral Norms
by: Duarte, Eliana, et al.
Published: (2026)
by: Duarte, Eliana, et al.
Published: (2026)
Stability of optimal transport on metric measure spaces
by: Han, Bang-Xian, et al.
Published: (2026)
by: Han, Bang-Xian, et al.
Published: (2026)
Lagrangian metric geometry with Riemannian bounds
by: Chassé, Jean-Philippe
Published: (2024)
by: Chassé, Jean-Philippe
Published: (2024)
Geometry of the Space of Partitioned Networks: A Unified Theoretical and Computational Framework
by: Zhang, Stephen Y, et al.
Published: (2024)
by: Zhang, Stephen Y, et al.
Published: (2024)
Relative Optimal Transport
by: Bubenik, Peter, et al.
Published: (2024)
by: Bubenik, Peter, et al.
Published: (2024)
Lifting functionals defined on maps to measure-valued maps via optimal transport
by: Lavenant, Hugo
Published: (2023)
by: Lavenant, Hugo
Published: (2023)
Asymptotics of the quantization problem on metric measure spaces
by: Aydin, Ata Deniz
Published: (2025)
by: Aydin, Ata Deniz
Published: (2025)
Asymptotic quantization on Riemannian manifolds via covering growth estimates
by: Aydin, Ata Deniz, et al.
Published: (2024)
by: Aydin, Ata Deniz, et al.
Published: (2024)
Geometric interpretation of magnitude
by: Asao, Yasuhiko, et al.
Published: (2025)
by: Asao, Yasuhiko, et al.
Published: (2025)
Linear and Sublinear Diversities
by: Bryant, David, et al.
Published: (2024)
by: Bryant, David, et al.
Published: (2024)
Lifting couplings in Wasserstein spaces
by: Perrone, Paolo
Published: (2021)
by: Perrone, Paolo
Published: (2021)
Magnitude of metric measure spaces and integrals over geodesics
by: Hashimoto, Yoshinori
Published: (2026)
by: Hashimoto, Yoshinori
Published: (2026)
Visualizing Shape Functionals via Sinkhorn Multidimensional Scaling
by: Yachimura, Toshiaki, et al.
Published: (2024)
by: Yachimura, Toshiaki, et al.
Published: (2024)
On valuation deviations and their geometry
by: Cutler, David Owen Horace, et al.
Published: (2025)
by: Cutler, David Owen Horace, et al.
Published: (2025)
Extending and improving conical bicombings
by: Basso, Giuliano
Published: (2020)
by: Basso, Giuliano
Published: (2020)
Isometries of the qubit state space with respect to quantum Wasserstein distances
by: Simon, Richárd, et al.
Published: (2024)
by: Simon, Richárd, et al.
Published: (2024)
Quantum Wasserstein isometries on the qubit state space
by: Gehér, György Pál, et al.
Published: (2022)
by: Gehér, György Pál, et al.
Published: (2022)
Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation
by: Ishida, Sadashige, et al.
Published: (2023)
by: Ishida, Sadashige, et al.
Published: (2023)
New geodesic lines in the Gromov-Hausdorff class lying in the cloud of the real line
by: Mikhailov, Ivan N.
Published: (2025)
by: Mikhailov, Ivan N.
Published: (2025)
On the Steiner tree connecting a fractal set
by: Paolini, Emanuele, et al.
Published: (2023)
by: Paolini, Emanuele, et al.
Published: (2023)
Convergence of Riemannian 2-manifolds under a uniform curvature and contractibility bound
by: Dott, Tobias
Published: (2025)
by: Dott, Tobias
Published: (2025)
On the Gromov-Hausdorff Limits of Compact Surfaces with Boundary
by: Dott, Tobias
Published: (2024)
by: Dott, Tobias
Published: (2024)
The infimal convolution structure of the Hellinger-Kantorovich distance
by: De Ponti, Nicolò, et al.
Published: (2025)
by: De Ponti, Nicolò, et al.
Published: (2025)
A non-compact convex hull in generalized non-positive curvature
by: Basso, Giuliano, et al.
Published: (2023)
by: Basso, Giuliano, et al.
Published: (2023)
Stability of optimal transport maps on Riemannian manifolds
by: Kitagawa, Jun, et al.
Published: (2025)
by: Kitagawa, Jun, et al.
Published: (2025)
Homotopy equivalent boundaries of cube complexes
by: Fernós, Talia, et al.
Published: (2023)
by: Fernós, Talia, et al.
Published: (2023)
New perspectives on the d'Alembertian from general relativity. An invitation
by: Braun, Mathias
Published: (2025)
by: Braun, Mathias
Published: (2025)
Localization from Pseudoranges: Quadrics and Duality
by: Boutin, Mireille, et al.
Published: (2026)
by: Boutin, Mireille, et al.
Published: (2026)
Global Positioning on Earth
by: Boutin, Mireille, et al.
Published: (2025)
by: Boutin, Mireille, et al.
Published: (2025)
Distinguishing regular polygons, cycle graphs, and circular metric spaces by the distance multiset and magnitude
by: Kodama, Hiroki, et al.
Published: (2024)
by: Kodama, Hiroki, et al.
Published: (2024)
Lifting coarse homotopies
by: Weighill, Thomas
Published: (2019)
by: Weighill, Thomas
Published: (2019)
Topological dimension of the Gromov-Hausdorff and Gromov-Prokhorov spaces
by: Nakajima, Hiroki, et al.
Published: (2025)
by: Nakajima, Hiroki, et al.
Published: (2025)
Wasserstein Rigidity over $\mathbb{R}^n$ with smooth norms
by: Balogh, Zoltán M., et al.
Published: (2025)
by: Balogh, Zoltán M., et al.
Published: (2025)
A Hurewicz-type theorem for quasimorphisms of countable approximate groups
by: Tonić, Vera
Published: (2025)
by: Tonić, Vera
Published: (2025)
A study of the metric measure space of probability measures via a purely atomic superposition principle
by: Pinzi, Alessandro
Published: (2025)
by: Pinzi, Alessandro
Published: (2025)
Magnitude function determines generic finite metric spaces
by: O'Hara, Jun
Published: (2024)
by: O'Hara, Jun
Published: (2024)
Lipschitz distance between clouds
by: Mikhailov, Ivan N.
Published: (2025)
by: Mikhailov, Ivan N.
Published: (2025)
Similar Items
-
Two-point dilation-homogeneous metric spaces
by: Niemiec, Piotr
Published: (2025) -
On the geometry of Wasserstein barycenter I
by: Han, Bang-Xian, et al.
Published: (2024) -
Causal convergence conditions through variable timelike Ricci curvature bounds
by: Braun, Mathias, et al.
Published: (2023) -
Algebraic Distance Optimization in Polyhedral Norms
by: Duarte, Eliana, et al.
Published: (2026) -
Stability of optimal transport on metric measure spaces
by: Han, Bang-Xian, et al.
Published: (2026)