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20232025
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cs.LG2025

A Polynomial-time Algorithm for Online Sparse Linear Regression with Improved Regret Bound under Weaker Conditions

Junfan Li, Shizhong Liao, Zenglin Xu +1

In this paper, we study the problem of online sparse linear regression (OSLR) where the algorithms are restricted to accessing only out of attributes per instance for predi…

cs.LG2024

Learnability in Online Kernel Selection with Memory Constraint via Data-dependent Regret Analysis

Junfan Li, Shizhong Liao

Online kernel selection is a fundamental problem of online kernel methods.In this paper,we study online kernel selection with memory constraint in which the memory of kernel select…

cs.LG2023

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

Yun Liao, Junfan Li, Shizhong Liao +2

In this paper, we study the mistake bound of online kernel learning on a budget. We propose a new budgeted online kernel learning model, called Ahpatron, which significantly improv…

cs.LG2023

Nearly Optimal Algorithms with Sublinear Computational Complexity for Online Kernel Regression

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 regr…

cs.LG2023

Improved Regret Bounds for Online Kernel Selection under Bandit Feedback

Junfan Li, Shizhong Liao

In this paper, we improve the regret bound for online kernel selection under bandit feedback. Previous algorithm enjoys a $O((\Vert f\Vert^2_{\mathcal{H}_i}+1)K^{\frac{1}{3}}T^{\fr…