Search Results for author: Shizhong Liao

Found 4 papers, 4 papers with code

Ahpatron: A New Budgeted Online Kernel Learning Machine with Tighter Mistake Bound

1 code implementation12 Dec 2023 Yun Liao, Junfan Li, Shizhong Liao, QinGhua Hu, Jianwu Dang

In this paper, we study the mistake bound of online kernel learning on a budget.

Nearly Optimal Algorithms with Sublinear Computational Complexity for Online Kernel Regression

1 code implementation14 Jun 2023 Junfan Li, Shizhong Liao

The trade-off between regret and computational cost is a fundamental problem for online kernel regression, and previous algorithms worked on the trade-off can not keep optimal regret bounds at a sublinear computational complexity.

regression

Improved Regret Bounds for Online Kernel Selection under Bandit Feedback

1 code implementation9 Mar 2023 Junfan Li, Shizhong Liao

We apply the two algorithms to online kernel selection with time constraint and prove new regret bounds matching or improving the previous $O(\sqrt{T\ln{K}} +\Vert f\Vert^2_{\mathcal{H}_i}\max\{\sqrt{T},\frac{T}{\sqrt{\mathcal{R}}}\})$ expected bound where $\mathcal{R}$ is the time budget.

Improved Kernel Alignment Regret Bound for Online Kernel Learning

1 code implementation26 Dec 2022 Junfan Li, Shizhong Liao

If the eigenvalues of the kernel matrix decay exponentially, then our algorithm enjoys a regret of $O(\sqrt{\mathcal{A}_T})$ at a computational complexity of $O(\ln^2{T})$.

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