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cs.LG2026
From Cone Geometry to Monge Structure: Local Defects and Global Regret in High-Dimensional Optimal Transport
Lei Luo, Jian Yang
Exact optimal transport in high dimensions becomes tractable only when additional structure selects the optimal coupling. Classical Monge transportation solves the discrete problem…
cs.LG2024
Towards Better Spherical Sliced-Wasserstein Distance Learning with Data-Adaptive Discriminative Projection Direction
Hongliang Zhang, Shuo Chen, Lei Luo +1
Spherical Sliced-Wasserstein (SSW) has recently been proposed to measure the discrepancy between spherical data distributions in various fields, such as geology, medical domains, c…