Fetching the paper…
Reading the bibliography…
We propose dynamical optimal transport (OT) problems constrained in a parameterized probability subset.
Derivation of the Schrödinger Equation from Newtonian Mechanics
E. Nelson · 1966
Earlier work this paper cites.
Natural Gradient Works Efficiently in Learning
S. Amari · 1998
Earlier work this paper cites.
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
J.-D. Benamou and Y. Brenier · 2000
Earlier work this paper cites.
Mean field games
J.-M. Lasry and P.-L. Lions · 2007
Earlier work this paper cites.
Optimal Transport: Old and New
C. Villani · 2009
Earlier work this paper cites.
Information Geometry and Its Applications
S. Amari · 2016
Earlier work this paper cites.
M. Arjovsky, S. Chintala, and L. Bottou · 2017
Cited alongside, same era.
Information Geometry
N. Ay, J. Jost, H. V. Lê, and L. J. Schwachhöfer · 2017
Cited alongside, same era.
Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems
A. Halder and T. T. Georgiou · 2017
Cited alongside, same era.
Geometry of matrix decompositions seen through optimal transport and information geometry
K. Modin · 2017
Cited alongside, same era.
Natural gradient in Wasserstein statistical manifold
Y. Chen and W. Li · 2018
Cited alongside, same era.
Geometry of probability simplex via optimal transport
W. Li · 2018
Closest in time.
Geometry of Wasserstein statistical manifold
W. Li · 2018
Closest in time.
Natural gradient via optimal transport I
W. Li and G. Montufar · 2018
Closest in time.
Ricci curvature for parametric statistics via optimal transport
W. Li and G. Montufar · 2018
Closest in time.
Lagrangian Function on the Finite State Space Statistical Bundle
G. Pistone · 2018
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…