4 papers
Scalable Second-order Riemannian Optimization for -means Clustering
Peng Xu, Chun-Ying Hou, Xiaohui Chen +1
Clustering is a hard discrete optimization problem. Nonconvex approaches such as low-rank semidefinite programming (SDP) have recently demonstrated promising statistical and local…
Generative quantum machine learning via denoising diffusion probabilistic models
Bingzhi Zhang, Peng Xu, Xiaohui Chen +1
Deep generative models are key-enabling technology to computer vision, text generation, and large language models. Denoising diffusion probabilistic models (DDPMs) have recently ga…
Holographic deep thermalization for secure and efficient quantum random state generation
Bingzhi Zhang, Peng Xu, Xiaohui Chen +1
Randomness is a cornerstone of science, underpinning fields such as statistics, information theory, dynamical systems, and thermodynamics. In quantum science, quantum randomness, e…
Embedding Empirical Distributions for Computing Optimal Transport Maps
Mingchen Jiang, Peng Xu, Xichen Ye +3
Distributional data have become increasingly prominent in modern signal processing, highlighting the necessity of computing optimal transport (OT) maps across multiple probability…