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cs.LG2026
Self-Consistent Generative Paths via Admissible Random Variational Transport
Lei Luo, Yingzhen Zhang, Jian Yang
Modern generative models often define an entire probability path from a simple prior to the data law, rather than only an endpoint map. Diffusion models follow stochastic denoising…
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…