Cover Image

Wasserstein Mirror Gradient Flow as the limit of the Sinkhorn Algorithm

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Deb, Nabarun, Kim, Young-Heon, Pal, Soumik, Schiebinger, Geoffrey
Format:	Preprint
Published:	2023
Subjects:	Probability Analysis of PDEs Machine Learning 49N99, 49Q22, 60J60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Iterated Schrödinger bridge approximation to Wasserstein Gradient Flows
by: Agarwal, Medha, et al.
Published: (2024)

Diffusion Approximations to Schrödinger Bridges on Manifolds
by: Mulcahy, Garrett, et al.
Published: (2025)

Langevin Diffusion Approximation to Same Marginal Schrödinger Bridge
by: Agarwal, Medha, et al.
Published: (2025)

Entropic continuity bounds for conditional covariances with applications to Schr\" odinger and Sinkhorn bridges
by: Del Moral, Pierre
Published: (2025)

Wasserstein geometry of nonnegative measures on finite Markov chains I: Gradient flow
by: Mao, Qifan, et al.
Published: (2026)

Wasserstein geometry of nonnegative measures on finite Markov chains II: Geodesic and duality formulae
by: Mao, Qifan, et al.
Published: (2026)

Sliced Wasserstein Geodesics and Equivalence Wasserstein and Sliced Wasserstein metrics
by: Hopper, John Seale
Published: (2024)

Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity
by: Greco, Giacomo, et al.
Published: (2025)

A Wasserstein Geometric Framework for Hebbian Plasticity
by: Tan, Ulrich
Published: (2026)

Thermodynamic structure of the Sinkhorn flow
by: Srinivasan, Anand, et al.
Published: (2025)

A transfer principle for computing the adapted Wasserstein distance between stochastic processes
by: Jiang, Yifan, et al.
Published: (2025)

$L^\infty$-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model
by: Khudiakova, Ksenia A., et al.
Published: (2024)

Wasserstein geometry and Ricci curvature bounds for Poisson spaces
by: Schiavo, Lorenzo Dello, et al.
Published: (2023)

A quantitative stability result for regularity of optimal transport on compact manifolds
by: Warren, Micah
Published: (2025)

Wasserstein asymptotics for empirical measures of diffusions on four dimensional closed manifolds
by: Trevisan, Dario, et al.
Published: (2024)

Approximation rates of entropic maps in semidiscrete optimal transport
by: Sadhu, Ritwik, et al.
Published: (2024)

Limit theorems for empirical measures of interacting quantum systems in Wasserstein space
by: Portinale, Lorenzo, et al.
Published: (2023)

Replicator dynamics as the large population limit of a discrete Moran process in the weak selection regime: A proof via Eulerian specification
by: Morandotti, Marco, et al.
Published: (2025)

A growth estimate for the planar Mumford--Shah minimizers at a tip point: An alternative proof of David--Léger
by: Zhang, Yi Ru-Ya
Published: (2025)

Boundary regularity for the Mumford-Shah functional with Dirichlet boundary conditions
by: Deangelis, Francesco
Published: (2024)

The regularity theory for the Mumford-Shah functional on the plane
by: De Lellis, Camillo, et al.
Published: (2023)

Quantitative equidistribution of eigenvalues of Random Normal Matrices in the Wasserstein distance
by: Arias, P. García
Published: (2026)

Quasiconvex Bulk and Surface Energies with subquadratic growth
by: Carozza, Menita, et al.
Published: (2025)

Willmore obstacle problems under Dirichlet boundary conditions
by: Grunau, Hans-Christoph, et al.
Published: (2021)

Optimal Transport for $ε$-Contaminated Credal Sets: To the Memory of Sayan Mukherjee
by: Caprio, Michele
Published: (2024)

Nonlinear Vlasov-Fokker-Planck equations: From generalized Wasserstein gradient flow to GENERIC structure
by: Liu, Zhenxin, et al.
Published: (2026)

Entropic-Wasserstein barycenters: PDE characterization, regularity and CLT
by: Carlier, Guillaume, et al.
Published: (2020)

Bi-martingale optimal transport and its applications
by: Bołbotowski, Karol
Published: (2025)

Weak semiconvexity estimates for Schrödinger potentials and logarithmic Sobolev inequality for Schrödinger bridges
by: Conforti, Giovanni
Published: (2022)

Sparsity and uniform regularity for regularised optimal transport
by: Gvalani, Rishabh S., et al.
Published: (2026)

No-Regret Generative Modeling via Parabolic Monge-Ampère PDE
by: Deb, Nabarun, et al.
Published: (2025)

Ahlfors-regularity for minimizers of a multiphase optimal design problem
by: Esposito, Luca, et al.
Published: (2025)

Empirical measures and random walks on compact spaces in the quadratic Wasserstein metric
by: Borda, Bence
Published: (2021)

Eigenvalues of random matrices from compact classical groups in Wasserstein metric
by: Borda, Bence
Published: (2023)

A Benamou-Brenier formula for transport distances between stationary random measures
by: Huesmann, Martin, et al.
Published: (2024)

Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropy
by: Erbar, Matthias, et al.
Published: (2023)

Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation
by: Schiavo, Lorenzo Dello
Published: (2024)

A trajectorial approach to the gradient flow of McKean-Vlasov SDEs with mobility
by: Liu, Zhenxin, et al.
Published: (2025)

On the equivalence of static and dynamic weak optimal transport
by: Bulanyi, Bohdan
Published: (2023)

The Nonlocal Stefan Problem via a Martingale Transport
by: Chu, Raymond, et al.
Published: (2023)