no code implementations • 6 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.
no code implementations • 2 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.
no code implementations • 19 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.
no code implementations • 2 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 $\gamma > 0$.
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 $\gamma >0$ ).
no code implementations • 12 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 $s\in (0, 1)$.