Pith. sign in

The analogous question in the QOT context remains very challenging

(i) Brenier’s theorem in classic OT states that ifµ, ν∈ P(Rd),µis absolutely continuous, the cost is given by the squared Euclidean distance∥x−y∥ 2, then the (unique) transport plan is Monge, induced by the gradient of a convex funct · 1987

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
browse 1 citing papers

fields

math.PR 1

years

2025 1

verdicts

ACCEPT 1

representative citing papers

Quadratic-form Optimal Transport

math.PR · 2025-01-08 · accept · novelty 8.0

Quadratic-form optimal transport is introduced, and for several cost classes including the rectangular cost, the unique minimizer is a new diamond-shaped coupling rather than the usual comonotone or antimonotone couplings.

citing papers explorer

Showing 1 of 1 citing paper.

  • Quadratic-form Optimal Transport math.PR · 2025-01-08 · accept · none · ref 7

    Quadratic-form optimal transport is introduced, and for several cost classes including the rectangular cost, the unique minimizer is a new diamond-shaped coupling rather than the usual comonotone or antimonotone couplings.