3 papers
math.MG2026
Sandwich Slice: Optimal Transport Potentials Are Optimal Generalized Slicers
Rocio Diaz Martin, Xinran Liu, Matthew Thorpe +1
Sliced optimal transport replaces a transport problem in Rd by one-dimensional problems along scalar slices, and has been used both to lower bound the Wasserstein distance W1 (max-…
cs.LG2024
Expected Sliced Transport Plans
Xinran Liu, Rocío Díaz Martín, Yikun Bai +4
The optimal transport (OT) problem has gained significant traction in modern machine learning for its ability to: (1) provide versatile metrics, such as Wasserstein distances and t…
cs.LG2023
PT: Partial Transport Distances
Xinran Liu, Yikun Bai, Huy Tran +3
Optimal transport and its related problems, including optimal partial transport, have proven to be valuable tools in machine learning for computing meaningful distances between pro…