4 papers
Strong approximation for stochastic Volterra equations by compound Poisson processes
Xicheng Zhang, Yuanlong Zhao
We study a compound Poisson (random time-change) approximation for stochastic differential equations (SDEs) and stochastic Volterra equations whose coefficients may be merely measu…
Anchored Langevin Algorithms
Mert Gurbuzbalaban, Hoang M. Nguyen, Xicheng Zhang +1
Standard first-order Langevin algorithms such as the unadjusted Langevin algorithm (ULA) are obtained by discretizing the Langevin diffusion and are widely used for sampling in mac…
LipidBERT: A Lipid Language Model Pre-trained on METiS de novo Lipid Library
Tianhao Yu, Cai Yao, Zhuorui Sun +10
In this study, we generate and maintain a database of 10 million virtual lipids through METiS's in-house de novo lipid generation algorithms and lipid virtual screening techniques.…
New algorithms for sampling and diffusion models
Xicheng Zhang
Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with…