4 citations · 8 across the 4 of their papers we have counts for
4 papers
On the Mathematics of RNA Velocity II: Algorithmic Aspects
Tiejun Li, Yizhuo Wang, Guoguo Yang +1
In a previous paper [CSIAM Trans. Appl. Math. 2 (2021), 1-55], the authors proposed a theoretical framework for the analysis of RNA velocity, which is a promising concept in scRNA-…
Formulae for mixed moments of Wiener processes and a stochastic area integral
Yoshio Komori, Guoguo Yang, Kevin Burrage
This paper deals with the expectation of monomials with respect to the stochastic area integral $A_{1,2}(t,t+h)=\int_{t}^{t+h}\int_{t}^{s}{\rm d} W_{1}(r){\rm d} W_{2}(s) -\int_{t}…
A convergence study of SGD-type methods for stochastic optimization
Tiannan Xiao, Guoguo Yang
In this paper, we first reinvestigate the convergence of vanilla SGD method in the sense of under more general learning rates conditions and a more general convex assumption,…
Revisiting the central limit theorems for the SGD-type methods
Tiejun Li, Tiannan Xiao, Guoguo Yang
We revisited the central limit theorem (CLT) for stochastic gradient descent (SGD) type methods, including the vanilla SGD, momentum SGD and Nesterov accelerated SGD methods with c…