2 papers
cs.LG2026
Diffusion Model for Manifold Data: Score Decomposition, Curvature, and Statistical Complexity
Zixuan Zhang, Kaixuan Huang, Tuo Zhao +2
Diffusion models have become a leading framework in generative modeling, yet their theoretical understanding -- especially for high-dimensional data concentrated on low-dimensional…
cs.LG2024
Nonparametric Classification on Low Dimensional Manifolds using Overparameterized Convolutional Residual Networks
Zixuan Zhang, Kaiqi Zhang, Minshuo Chen +4
Convolutional residual neural networks (ConvResNets), though overparameterized, can achieve remarkable prediction performance in practice, which cannot be well explained by convent…