2 papers
math.OC2025
Cosine-Similarity Methods for Efficient Training and Sampling in High-Dimensional Latent Spaces
Xu Duan, Dongmei Chen
Latent generative models are increasingly shifting from traditional VAEs toward representation autoencoders and semantically aligned latent spaces, which lift images into higher-di…
math.OC2025
Trajectory-Optimized Density Control with Flow Matching
Xu Duan, Dongmei Chen
Optimal transport (OT) and Schr{ö}dinger bridge (SB) problems have emerged as powerful frameworks for transferring probability distributions with minimal cost. However, existing a…