Search Results for author: Weihao Lu

Found 6 papers, 0 papers with code

Multi-scale Feature Fusion with Point Pyramid for 3D Object Detection

no code implementations6 Sep 2024 Weihao Lu, Dezong Zhao, Cristiano Premebida, Li Zhang, Wenjing Zhao, Daxin Tian

To address this issue, this paper proposes the Point Pyramid RCNN (POP-RCNN), a feature pyramid-based framework for 3D object detection on point clouds.

3D Object Detection Autonomous Driving +1

On the Pinsker bound of inner product kernel regression in large dimensions

no code implementations2 Sep 2024 Weihao Lu, Jialin Ding, Haobo Zhang, Qian Lin

Building on recent studies of large-dimensional kernel regression, particularly those involving inner product kernels on the sphere $\mathbb{S}^{d}$, we investigate the Pinsker bound for inner product kernel regression in such settings.

regression

The phase diagram of kernel interpolation in large dimensions

no code implementations19 Apr 2024 Haobo Zhang, Weihao Lu, Qian Lin

The generalization ability of kernel interpolation in large dimensions (i. e., $n \asymp d^{\gamma}$ for some $\gamma>0$) might be one of the most interesting problems in the recent renaissance of kernel regression, since it may help us understand the 'benign overfitting phenomenon' reported in the neural networks literature.

Optimal Rates of Kernel Ridge Regression under Source Condition in Large Dimensions

no code implementations2 Jan 2024 Haobo Zhang, Yicheng Li, Weihao Lu, Qian Lin

Motivated by the studies of neural networks (e. g., the neural tangent kernel theory), we perform a study on the large-dimensional behavior of kernel ridge regression (KRR) where the sample size $n \asymp d^{\gamma}$ for some $\gamma > 0$.

regression

Optimal Rate of Kernel Regression in Large Dimensions

no code implementations8 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

On the Optimality of Misspecified Kernel Ridge Regression

no code implementations12 May 2023 Haobo Zhang, Yicheng Li, Weihao Lu, Qian Lin

In the misspecified kernel ridge regression problem, researchers usually assume the underground true function $f_{\rho}^{*} \in [\mathcal{H}]^{s}$, a less-smooth interpolation space of a reproducing kernel Hilbert space (RKHS) $\mathcal{H}$ for some $s\in (0, 1)$.

regression

Cannot find the paper you are looking for? You can Submit a new open access paper.