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math.NA2023
Diffusion approximations of Oja's online principal component analysis
Jian-Guo Liu, Zibu Liu
Oja's algorithm of principal component analysis (PCA) has been one of the methods utilized in practice to reduce dimension. In this paper, we focus on the convergence property of t…
math.NA2017
On Runge-Kutta methods for the water wave equation and its simplified nonlocal hyperbolic model
Lei Li, Jian-Guo Liu, Zibu Liu +2
There is a growing interest in investigating numerical approximations of the water wave equation in recent years, whereas the lack of rigorous analysis of its time discretization i…