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Multi-Subspace Multi-Modal Modeling for Diffusion Models: Estimation, Convergence and Mixture of Experts
Ruofeng Yang, Yongcan Li, Bo Jiang +2
Recently, diffusion models have achieved a great performance with a small dataset of size and a fast optimization process. However, the estimation error of diffusion models suf…
Elucidating Rectified Flow with Deterministic Sampler: Polynomial Discretization Complexity for Multi and One-step Models
Ruofeng Yang, Zhaoyu Zhu, Bo Jiang +2
Recently, rectified flow (RF)-based models have achieved state-of-the-art performance in many areas for both the multi-step and one-step generation. However, only a few theoretical…
Understanding Representation Learnability of Nonlinear Self-Supervised Learning
Ruofeng Yang, Xiangyuan Li, Bo Jiang +1
Self-supervised learning (SSL) has empirically shown its data representation learnability in many downstream tasks. There are only a few theoretical works on data representation le…
Learning Adversarial Low-rank Markov Decision Processes with Unknown Transition and Full-information Feedback
Canzhe Zhao, Ruofeng Yang, Baoxiang Wang +2
In this work, we study the low-rank MDPs with adversarially changed losses in the full-information feedback setting. In particular, the unknown transition probability kernel admits…