8 citations · 15 across the 7 of their papers we have counts for
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stat.ML2022★ 7 cited
Statistical Optimality of Divide and Conquer Kernel-based Functional Linear Regression
Jiading Liu, Lei Shi
Previous analysis of regularized functional linear regression in a reproducing kernel Hilbert space (RKHS) typically requires the target function to be contained in this kernel spa…
stat.ML2022
Capacity dependent analysis for functional online learning algorithms
Xin Guo, Zheng-Chu Guo, Lei Shi
This article provides convergence analysis of online stochastic gradient descent algorithms for functional linear models. Adopting the characterizations of the slope function regul…
math.NA2022
Solving parametric partial differential equations with deep rectified quadratic unit neural networks
Zhen Lei, Lei Shi, Chenyu Zeng
Implementing deep neural networks for learning the solution maps of parametric partial differential equations (PDEs) turns out to be more efficient than using many conventional num…