Online computation with untrusted advice

IF 1.1 3区 计算机科学 Q1 BUSINESS, FINANCE
Spyros Angelopoulos , Christoph Dürr , Shendan Jin , Shahin Kamali , Marc Renault
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引用次数: 0

Abstract

We study a generalization of the advice complexity model of online computation in which the advice is provided by an untrusted source. Our objective is to quantify the impact of untrusted advice so as to design and analyze online algorithms that are robust if the advice is adversarial, and efficient is the advice is foolproof. We focus on four well-studied online problems, namely ski rental, online bidding, bin packing and list update. For ski rental and online bidding, we show how to obtain algorithms that are Pareto-optimal with respect to the competitive ratios achieved, whereas for bin packing and list update, we give online algorithms with worst-case tradeoffs in their competitiveness, depending on whether the advice is trusted or adversarial. More importantly, we demonstrate how to prove lower bounds, within this model, on the tradeoff between the number of advice bits and the competitiveness of any online algorithm.

使用不可靠建议的在线计算
我们研究的是在线计算建议复杂性模型的广义化,其中的建议是由不可信来源提供的。我们的目标是量化不可信建议的影响,从而设计和分析在线算法,在建议具有对抗性的情况下保持稳健,在建议万无一失的情况下保持高效。我们将重点放在四个经过充分研究的在线问题上,即滑雪场租赁、在线竞价、垃圾箱打包和列表更新。对于滑雪场租赁和在线竞价,我们展示了如何获得与所实现的竞争比率相关的帕累托最优算法,而对于垃圾箱打包和列表更新,我们给出了在线算法,根据建议是可信的还是对抗性的,在竞争性方面进行了最坏情况下的权衡。更重要的是,我们演示了如何在此模型内证明任何在线算法的建议位数与竞争力之间的折衷下限。
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来源期刊
Journal of Computer and System Sciences
Journal of Computer and System Sciences 工程技术-计算机:理论方法
CiteScore
3.70
自引率
0.00%
发文量
58
审稿时长
68 days
期刊介绍: The Journal of Computer and System Sciences publishes original research papers in computer science and related subjects in system science, with attention to the relevant mathematical theory. Applications-oriented papers may also be accepted and they are expected to contain deep analytic evaluation of the proposed solutions. Research areas include traditional subjects such as: • Theory of algorithms and computability • Formal languages • Automata theory Contemporary subjects such as: • Complexity theory • Algorithmic Complexity • Parallel & distributed computing • Computer networks • Neural networks • Computational learning theory • Database theory & practice • Computer modeling of complex systems • Security and Privacy.
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