Optimal Rate of Kernel Regression in Large Dimensions

no code implementations • 8 Sep 2023 • Weihao Lu, Haobo Zhang, Yicheng Li, Manyun Xu, Qian Lin

We perform a study on kernel regression for large-dimensional data (where the sample size $n$ is polynomially depending on the dimension $d$ of the samples, i. e., $n\asymp d^{\gamma}$ for some $\gamma >0$ ).

regression

Generalization Ability of Wide Neural Networks on $\mathbb{R}$

no code implementations • 12 Feb 2023 • Jianfa Lai, Manyun Xu, Rui Chen, Qian Lin

We perform a study on the generalization ability of the wide two-layer ReLU neural network on $\mathbb{R}$.