316 citations · 1.7k across the 39 of their papers we have counts for
43 papers
Computational and Statistical Guarantees of the \textit{c}-Rectified flow
Leda Wang, Zhehao Xu, Qiang Liu +1
Recently, rectified flow has emerged as a fundamental framework for large-scale image generation, powering state-of-the-art systems such as FLUX.1 and Stable Diffusion 3. Despite i…
From optimal score matching to optimal sampling
Zehao Dou, Subhodh Kotekal, Zhehao Xu +1
The recent, impressive advances in algorithmic generation of high-fidelity image, audio, and video are largely due to great successes in score-based diffusion models. A key impleme…
Implicit Regularization of Gradient Flow on One-Layer Softmax Attention
Heejune Sheen, Siyu Chen, Tianhao Wang +1
We study gradient flow on the exponential loss for a classification problem with a one-layer softmax attention model, where the key and query weight matrices are trained separately…
Leave-one-out Singular Subspace Perturbation Analysis for Spectral Clustering
Anderson Y. Zhang, Harrison H. Zhou
The singular subspaces perturbation theory is of fundamental importance in probability and statistics. It has various applications across different fields. We consider two arbitrar…
Rates of estimation for high-dimensional multi-reference alignment
Zehao Dou, Zhou Fan, Harrison Zhou
We study the continuous multi-reference alignment model of estimating a periodic function on the circle from noisy and circularly-rotated observations. Motivated by analogous high-…
Optimal estimation of high-dimensional location Gaussian mixtures
Natalie Doss, Yihong Wu, Pengkun Yang +1
This paper studies the optimal rate of estimation in a finite Gaussian location mixture model in high dimensions without separation conditions. We assume that the number of compone…