All authors are listed in alphabetical order unless otherwise specified.
Published Papers
Interpolation, Approximation and Controllability of Deep Neural Networks
SIAM Journal on Control and Optimization. to appear
Jingpu Cheng, Qianxiao Li, Ting Lin, Zuowei Shen
Sep 2023 / Oct 2024
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
Journal of Machine Learning Research, Volume 25, (2024)
Qianxiao Li, Ting Lin, Zuowei Shen
Aug 2022 / Aug 2024
Finite element gradgrad complexes and elasticity complexes on cuboid meshes
Journal of Scientific Computing, Volume 99, 50, (2024)
Jun Hu, Yizhou Liang, Ting Lin.
Feb 2023 / Mar 2024
Local $C^r$ interpolations on simplicial triangulations in any dimension
Computers & Mathematics with Applications, 154 (2024), 153--161
Jun Hu, Ting Lin, Qingyu Wu
Apr 2023 / Nov 2023
A construction of $C^r$ conforming finite element spaces in any dimension
Foundations of Computational Mathematics, Online Published
Jun Hu, Ting Lin, Qingyu Wu
Mar 2021 / Jul 2023
Deep learning via dynamical systems: An approximation perspective
Journal of the European Mathematial Society 25 (2023), no. 5, pp. 1671–1709.
Qianxiao Li, Ting Lin, Zuowei Shen.
Dec 2019 / Jan 2021
Preprints
The condition for constructing a finite element from a superspline
Preprint.
Jun Hu, Ting Lin, Qingyu Wu, Beihui Yuan.
Jul 2024
Analysis of a wavelet frame based two-scale model for enhanced edges
Preprint.
Bin Dong, Ting Lin, Zuowei Shen, Peichu Xie.
Jan 2024
Extended Regge complex for linearized Riemann-Cartan geometry and cohomology
Preprint.
Snorre H. Christiansen, Kaibo Hu, Ting Lin
Nov 2023
Distributional Hessian and divdiv complexes on triangulation and cohomology
Preprint.
Kaibo Hu, Ting Lin, Qian Zhang
Nov 2023
Local bounded commuting projection operator for discrete gradgrad complexes
Preprint.
Jun Hu, Yizhou Liang, Ting Lin.
Apr 2023
Local bounded commuting projection operator for discrete de Rham complexes
Preprint.
Jun Hu, Yizhou Liang, Ting Lin.
Mar 2023
On the universal approximation property of deep fully convolutional neural networks
Preprint.
Ting Lin, Zuowei Shen, Qianxiao Li
Sep 2022