Publications

publications by categories in reversed chronological order. generated by jekyll-scholar.

2025

  1. SIIMS
    Analysis of a wavelet frame based two-scale model for enhanced edges
    Bin Dong, Ting Lin, Peichu Xie, and Zuowei Shen
    SIAM Journal on Imaging Sciences, Jul 2025
    arXiv
  2. SIMA
    On the Universal Approximation Property of Deep Fully Convolutional Neural Networks
    Qianxiao Li, Ting Lin, and Zuowei Shen
    SIAM Journal on Mathematical Analysis, Jun 2025
    arXiv
  3. arxiv
    Mixed Finite element method for stress gradient elasticity
    Ting Lin, and Shudan Tian
    Jun 2025
    arXiv
  4. arxiv
    A unified framework on the universal approximation of transformer-type architectures
    Jingpu Cheng, Qianxiao Li, Ting Lin, and Zuowei Shen
    Jun 2025
    arXiv
  5. MoC
    The sharpness condition for constructing a finite element from a superspline
    Jun Hu, Ting Lin, Qingyu Wu, and Beihui Yuan
    Mathematics of Computation, May 2025
    arXiv
  6. arxiv
    Finite element form-valued forms: Construction
    Kaibo Hu, and Ting Lin
    Mar 2025
    arXiv
  7. SICON
    Interpolation, Approximation and Controllability of Deep Neural Networks
    Jingpu Cheng, Qianxiao Li, Ting Lin, and Zuowei Shen
    SIAM Journal on Control and Optimization, Feb 2025
    arXiv PDF
  8. SIAGA
    Distributional Hessian and divdiv complexes on triangulation and cohomology
    Kaibo Hu, Ting Lin, and Qian Zhang
    SIAM Journal on Applied Algebra and Geometry, Feb 2025
    arXiv PDF

2024

  1. FoCM
    A Construction of \(C^r\) Conforming Finite Element Spaces in Any Dimension
    Jun Hu, Ting Lin, and Qingyu Wu
    Foundations of Computational Mathematics, Dec 2024
    arXiv PDF
  2. JMLR
    Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
    Qianxiao Li, Ting Lin, and Zuowei Shen
    Journal of Machine Learning Research, Aug 2024
    arXiv PDF
  3. JSC
    Finite Element Grad grad Complexes and Elasticity Complexes on Cuboid Meshes
    Jun Hu, Yizhou Liang, and Ting Lin
    Journal of Scientific Computing, Apr 2024
    arXiv PDF
  4. C&MA
    Local \(C^r\) interpolation operators on simplicial triangulations in any dimension
    Jun Hu, Ting Lin, and Qingyu Wu
    Computers and Mathematics with Applications, Jan 2024
    PDF

2023

  1. arxiv
    Extended Regge complex for linearized Riemann-Cartan geometry and cohomology
    Snorre Christiansen, Kaibo Hu, and Ting Lin
    Dec 2023
    arXiv
  2. arxiv
    Finite elements for symmetric and traceless tensors in three dimensions
    Kaibo Hu, Ting Lin, and Bowen Shi
    Nov 2023
    arXiv
  3. JEMS
    Deep Learning via Dynamical Systems: An Approximation Perspective
    Qianxiao Li, Ting Lin, and Zuowei Shen
    Journal of the European Mathematical Society, May 2023
    EASIAM arXiv PDF
  4. arxiv
    Local Bounded Commuting Projection Operators for Discrete Gradgrad Complexes
    Jun Hu, Yizhou Liang, and Ting Lin
    Apr 2023
    arXiv
  5. arxiv
    Local bounded commuting projection operator for discrete de Rham complexes
    Jun Hu, Yizhou Liang, and Ting Lin
    Mar 2023
    arXiv