Zitong Tian

collaborators

3 papers

math.NA2026

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^{p}$ Ridge Integral Spaces for ReLU $^{k}$ Networks

Juncai He, Zitong Tian

We develop the $L^{p}$ space and approximation theory for shallow neural networks with $ReLU^{k}$ activations. The central object is the Radon-domain $L^{p}$ space $\mathcal{R}L…

math.NA2026

Divergence-free Linearized Neural Networks: Integral Representation and Optimal Approximation Rates

Juncai He, Xinliang Liu, Zitong Tian

This paper studies the numerical approximation of divergence-free vector fields by linearized shallow neural networks, also referred to as random feature models or finite neuron sp…

cs.LG2025

Manipulating 3D Molecules in a Fixed-Dimensional E(3)-Equivariant Latent Space

Zitao Chen, Yinjun Jia, Zitong Tian +2

Medicinal chemists often optimize drugs considering their 3D structures and designing structurally distinct molecules that retain key features, such as shapes, pharmacophores, or c…

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain Lp Ridge Integral Spaces for ReLUk Networks

Divergence-free Linearized Neural Networks: Integral Representation and Optimal Approximation Rates

Manipulating 3D Molecules in a Fixed-Dimensional E(3)-Equivariant Latent Space

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^{p}$ Ridge Integral Spaces for ReLU $^{k}$ Networks