Document detail
ID

oai:arXiv.org:2410.15257

Topic
Computer Science - Machine Learnin... Computer Science - Data Structures... Mathematics - Optimization and Con...
Author
Zhao, Hailiang Tang, Xueyan Chen, Peng Deng, Shuiguang
Category

Computer Science

Year

2024

listing date

10/23/2024

Keywords
bahncard pfsum algorithm learning-augmented
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Abstract

In this paper, we study learning-augmented algorithms for the Bahncard problem.

The Bahncard problem is a generalization of the ski-rental problem, where a traveler needs to irrevocably and repeatedly decide between a cheap short-term solution and an expensive long-term one with an unknown future.

Even though the problem is canonical, only a primal-dual-based learning-augmented algorithm was explicitly designed for it.

We develop a new learning-augmented algorithm, named PFSUM, that incorporates both history and short-term future to improve online decision making.

We derive the competitive ratio of PFSUM as a function of the prediction error and conduct extensive experiments to show that PFSUM outperforms the primal-dual-based algorithm.

;Comment: This paper has been accepted by the 38th Conference on Neural Information Processing Systems (NeurIPS 2024)

Zhao, Hailiang,Tang, Xueyan,Chen, Peng,Deng, Shuiguang, 2024, Learning-Augmented Algorithms for the Bahncard Problem

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