53 citations · 62 across the 3 of their papers we have counts for
4 papers
Backward and Forward Wasserstein Projections in Stochastic Order
Young-Heon Kim, Yuan Long Ruan
We study metric projections onto cones in the Wasserstein space of probability measures, defined by stochastic orders. Dualities for backward and forward projections are establishe…
A partial differential equation for the rank one convex envelope
Adam M. Oberman, Yuanlong Ruan
In this article we introduce a Partial Differential Equation (PDE) for the rank one convex envelope. Rank one convex envelopes arise in non-convex vector valued variational problem…
Nontrivial Periodic Minimizer for Landau-Brazovskii Model with Constraint
Yuanlong Ruan
Block copolymer, a synthesized polymer material, has found many applications in industry. It is consisting of multiple sequences of monomer alternating in series with different mon…
An efficient linear programming method for Optimal Transportation
Adam M. Oberman, Yuanlong Ruan
An efficient method for computing solutions to the Optimal Transportation (OT) problem with a wide class of cost functions is presented. The standard linear programming (LP) discre…