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math.AP2016
Discrete Variational Derivative Methods for the EPDiff equation
Stig Larsson, Takayasu Matsuo, Klas Modin +1
The aim of this paper is the derivation of structure preserving schemes for the solution of the EPDiff equation, with particular emphasis on the two dimensional case. We develop th…
math.DG2016★ 23 cited
Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry
Klas Modin
The space of probability densities is an infinite-dimensional Riemannian manifold, with Riemannian metrics in two flavors: Wasserstein and Fisher--Rao. The former is pivotal in opt…