no code implementations • 20 Mar 2024 • Lu Zou, Liang Ding
By utilizing a technique called Kernel Packets (KP), we prove that the convergence rate of Back-fitting is no faster than $(1-\mathcal{O}(\frac{1}{n}))^t$, where $n$ and $t$ denote the data size and the iteration number, respectively.
no code implementations • 3 Dec 2023 • Wenjia Wang, Xiaowei Zhang, Lu Zou
We establish new upper bounds on both the simple and cumulative regret of GP-UCB when the objective function to optimize admits certain smoothness property.
no code implementations • 29 Apr 2023 • Lu Zou, HaoYuan Chen, Liang Ding
We show how to use these sparse formulas to generalize back-fitting-based algorithms to efficiently compute the posterior mean, posterior variance, log-likelihood, and gradient of these three functions for additive GPs, all in $O(n \log n)$ time.
no code implementations • 10 Oct 2021 • Lu Zou, Zhangjin Huang, Naijie Gu, Guoping Wang
Specifically, a novel two-stream encoder-decoder framework is dedicated to exploring complex and powerful instance representations from RGB images, point clouds and categorical shape priors.
no code implementations • 5 Jun 2020 • Liang Ding, Lu Zou, Wenjia Wang, Shahin Shahrampour, Rui Tuo
Density estimation plays a key role in many tasks in machine learning, statistical inference, and visualization.