@article{diffusionmodelformanifolddatascoredecomp, title = {Diffusion Model for Manifold Data: Score Decomposition, Curvature, and Statistical Complexity}, author = {Zixuan Zhang and Kaixuan Huang and Tuo Zhao and Mengdi Wang and Minshuo Chen}, year = {2026}, eprint = {2603.20645}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2603.20645}, }