17 citations · 21 across the 3 of their papers we have counts for
3 papers
math.OC2017
Uniqueness of optimal solutions for semi-discrete transport with p-norm cost functions
J. D. Walsh
Semi-discrete transport can be characterized in terms of real-valued shifts. Often, but not always, the solution to the shift-characterized problem partitions the continuous region…
math.OC2017★ 4 cited
General auction method for real-valued optimal transport
J. D. Walsh, Luca Dieci
Optimal transportation theory is an area of mathematics with real-world applications in fields ranging from economics to optimal control to machine learning. We propose a new algor…
math.NA2017★ 17 cited
The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation
Luca Dieci, J. D. Walsh
We introduce a new technique, which we call the boundary method, for solving semi-discrete optimal transport problems with a wide range of cost functions. The boundary method reduc…