Ting Lin

activity

20232026

collaborators

6 papers

cs.LG2026

Deep learning and the rate of approximation by flows

Jingpu Cheng, Qianxiao Li, Ting Lin +1

We investigate the dependence of the approximation capacity of deep residual networks on its depth in a continuous dynamical systems setting. This can be formulated as the general…

math.NA2026

Regge metrics with enhanced trace

Snorre H. Christiansen, Ting Lin

We introduce variants of Regge finite element metrics with enhanced properties of the trace. In particular the trace operator is surjective to a finite element space of continuous…

math.NA2025

Finite element form-valued forms: Construction

Kaibo Hu, Ting Lin

We provide a finite element discretization of $ℓ$ -form-valued $k$ -forms on triangulation in $R^{n}$ for general $k$ , $ℓ$ and $n$ and any polynomial degree. The const…

math.NA2023

Extended Regge complex for linearized Riemann-Cartan geometry and cohomology

Snorre H. Christiansen, Kaibo Hu, Ting Lin

We show that the cohomology of the Regge complex in three dimensions is isomorphic to $H_{d R}^{∙} (Ω) \otimes R M$ , the infinitesimal-rigid…

math.NA2023

Distributional Hessian and divdiv complexes on triangulation and cohomology

Kaibo Hu, Ting Lin, Qian Zhang

In this paper, we construct discrete versions of some Bernstein-Gelfand-Gelfand (BGG) complexes, i.e., the Hessian and the divdiv complexes, on triangulations in 2D and 3D. The seq…

math.NA2023

Finite elements for symmetric and traceless tensors in three dimensions

Kaibo Hu, Ting Lin, Bowen Shi

We construct a family of finite element sub-complexes of the conformal complex on tetrahedral meshes and show their exactness on contractible domains. This complex includes vector…