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arXiv 2001.10741cs.LGstat.ML
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基于二元特征表示的极值算法选择

Extreme Algorithm Selection With Dyadic Feature Representation

Heinz Nixdorf Institute(海因茨·尼克斯多夫研究所);Department of Computer Science, Paderborn University(帕德博恩大学计算机科学系);Paderborn University(帕德博恩大学);Heinz Nixdorf Institute and Department of Computer Science, Paderborn University(海因茨·尼克斯多夫研究所和帕德博恩大学计算机科学系)

Alexander Tornede, Marcel Wever, Eyke Hüllermeier

摘要:

算法选择(AS)处理从最适合算法问题的特定实例的候选算法的固定集合中选择算法,例如,选择SAT问题的求解器。AS的基准套件通常包括由最多数十个算法组成的候选集,而在组合算法选择和超参数优化问题中,候选集的数量变得难以处理,从而阻碍学习有效的元模型,并因此需要昂贵的在线性能评估。因此,在这里,我们提出了极端算法选择(XAS)的设置,其中我们考虑数千个候选算法的固定集合,促进元学习。我们评估了最先进的AS技术的XAS设置的适用性,并提出了利用二元特征表示的方法,其中描述了问题实例和算法。我们发现后者在各种指标上都比目前的技术水平有了显著提高。

英文摘要:

Algorithm selection (AS) deals with selecting an algorithm from a fixed set of candidate algorithms most suitable for a specific instance of an algorithmic problem, e.g., choosing solvers for SAT problems. Benchmark suites for AS usually comprise candidate sets consisting of at most tens of algorithms, whereas in combined algorithm selection and hyperparameter optimization problems the number of candidates becomes intractable, impeding to learn effective meta-models and thus requiring costly online performance evaluations. Therefore, here we propose the setting of extreme algorithm selection (XAS) where we consider fixed sets of thousands of candidate algorithms, facilitating meta learning. We assess the applicability of state-of-the-art AS techniques to the XAS setting and propose approaches leveraging a dyadic feature representation in which both problem instances and algorithms are described. We find the latter to improve significantly over the current state of the art in various metrics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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