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Yanming Lai
Yanming Lai
Department of Mathematics, The Hong Kong University of Science and Technology
Verified email at whu.edu.cn
Title
Cited by
Cited by
Year
Convergence rate analysis for deep ritz method
C Duan, Y Jiao, Y Lai, X Lu, Z Yang
arXiv preprint arXiv:2103.13330, 2021
632021
Error analysis of deep Ritz methods for elliptic equations
Y Jiao, Y Lai, Y Lo, Y Wang, Y Yang
arXiv preprint arXiv:2107.14478, 2021
352021
A rate of convergence of Physics Informed Neural Networks for the linear second order elliptic PDEs
Y Jiao, Y Lai, D Li, X Lu, F Wang, Y Wang, JZ Yang
arXiv preprint arXiv:2109.01780, 2021
34*2021
Deep neural networks with relu-sine-exponential activations break curse of dimensionality in approximation on Hölder class
Y Jiao, Y Lai, X Lu, F Wang, JZ Yang, Y Yang
SIAM Journal on Mathematical Analysis 55 (4), 3635-3649, 2023
13*2023
Analysis of deep ritz methods for laplace equations with dirichlet boundary conditions
C Duan, Y Jiao, Y Lai, X Lu, Q Quan, JZ Yang
arXiv preprint arXiv:2111.02009, 2021
62021
Convergence analysis of the deep galerkin method for weak solutions
Y Jiao, Y Lai, Y Wang, H Yang, Y Yang
From Classical Analysis to Analysis on Fractals: A Tribute to Robert …, 2023
42023
Convergence Analysis of Flow Matching in Latent Space with Transformers
Y Jiao, Y Lai, Y Wang, B Yan
arXiv preprint arXiv:2404.02538, 2024
12024
Error Analysis of Three-Layer Neural Network Trained with PGD for Deep Ritz Method
Y Jiao, Y Lai, Y Wang
arXiv preprint arXiv:2405.11451, 2024
2024
Estimation error of gradient descent in deep regressions
Y Jiao, Y Lai, H Lin, Y Wang
2023
Error Analysis of the Nonconforming P1 Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations
Y Lai, K Liang, P Lin, X Lu, Q Quan
Annals of Applied Mathematics, 2023
2023
HIGH-DIMENSIONAL LINEAR REGRESSION WITH HARD THRESHOLDING REGULARIZATION: THEORY AND ALGORITHM.
L Kang, Y Lai, Y Liu, Y Luo, J Zhang
Journal of Industrial & Management Optimization 19 (3), 2023
2023
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Articles 1–11