4 papers
Tree-Sliced Wasserstein Distance with Nonlinear Projection
Thanh Tran, Viet-Hoang Tran, Thanh Chu +4
Tree-Sliced methods have recently emerged as an alternative to the traditional Sliced Wasserstein (SW) distance, replacing one-dimensional lines with tree-based metric spaces and i…
Tree-Sliced Wasserstein Distance: A Geometric Perspective
Viet-Hoang Tran, Trang Pham, Tho Tran +4
Many variants of Optimal Transport (OT) have been developed to address its heavy computation. Among them, notably, Sliced Wasserstein (SW) is widely used for application domains by…
Spherical Tree-Sliced Wasserstein Distance
Viet-Hoang Tran, Thanh T. Chu, Khoi N. M. Nguyen +3
Sliced Optimal Transport (OT) simplifies the OT problem in high-dimensional spaces by projecting supports of input measures onto one-dimensional lines and then exploiting the close…
Distance-Based Tree-Sliced Wasserstein Distance
Hoang V. Tran, Khoi N. M. Nguyen, Trang Pham +3
To overcome computational challenges of Optimal Transport (OT), several variants of Sliced Wasserstein (SW) has been developed in the literature. These approaches exploit the close…