提出可信赖度不高的预测指导下的在线算法新框架
Online Algorithms with Unreliable Guidance
- 将预测与算法分离,统一分析框架
- 生成首个通用编译器,适配多种经典问题
- 在匹配、缓存等场景中实现最优或新权衡
本文提出在线算法与不可靠指导(OAG)模型,一种用于机器学习增强的在线决策模型。该模型通过请求-回答博弈视角,清晰分离预测与算法组件,提供仅依赖具体问题的统一分析框架。该框架引入预测来自答案空间、引导机制、随时竞争力等概念,使学习增强算法的分析独立于预测器的具体选择(如语义、误差函数或探测策略),从而提升通用性与适用性。基于此简洁框架,我们构建首个通用编译器——盲目丢弃或信任(DTB)编译器,可将几乎任意标准无预测的在线算法转化为学习增强型算法。尽管结构简单,我们证明其在三个经典在线问题中表现优异:在对抗性到达顺序下实现二分匹配的新权衡;在缓存和均匀度量任务系统中达到最优解。
原文摘要 · Abstract (English)
This paper introduces online algorithms with unreliable guidance (OAG), a model for ML-augmented online decision-making that cleanly separates the predictive and algorithmic components, thus offering a single, well-defined analysis framework that depends only on the problem at hand. Formulated through the lens of request-answer games, the OAG model brings multiple concepts (predictions from the answer space, guide, anytime competitiveness) which enable learning-augmented algorithms to be analyzed independently of predictor-specific choices - such as prediction semantics, error functions, or probing strategies - that would otherwise restrict the algorithm's generality and applicability. The clean framework of the OAG model allows to build the first generic compiler, the drop-or-trust-blindly (DTB) compiler, that turns almost any standard, prediction-free online algorithm into a learning-augmented one. Although simple, we show that the DTB compiler produces new learning-augmented algorithms with strong consistency-robustness guarantees for three classic online problems: we achieve new trade-offs for bipartite matching with adversarial arrival order, and obtain optimal solutions for caching and uniform metrical task systems.
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