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arXiv 2007.02816cs.LGstat.ML
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Run2Survive:一种基于生存分析的算法选择决策理论方法

Run2Survive: A Decision-theoretic Approach to Algorithm Selection based on Survival Analysis

Heinz Nixdorf Institute(海因茨·尼克斯多夫研究所);Paderborn University(帕德博恩大学);Universidad de La Sabana(拉萨巴纳大学)

Alexander Tornede, Marcel Wever, Stefan Werner, Felix Mohr, Eyke Hüllermeier

摘要:

算法选择(Algorithm selection,AS)是从一组固定的候选算法中自动选择最适合算法问题类的特定实例的算法,其中“适用性”通常指算法的运行时间。由于候选算法的可能极长的运行时间,算法选择模型的训练数据通常在时间约束下生成,在这个意义上,并非所有算法都在所有实例上运行完成。因此,训练数据通常包括审查信息,因为超时的算法的真实运行时间仍然是未知的。然而,许多标准的AS方法不能以适当的方式处理这样的信息。另一方面,生存分析(SA)自然支持删失数据,并提供了适当的方法来使用这些数据来学习算法运行时的分布模型,正如我们在这项工作中所展示的那样。我们利用这样的模型作为一个复杂的决策理论方法的基础,算法选择,我们称之为Run2Survive。此外,利用这种框架,我们提倡一种规避风险的方法来选择算法,其中,避免超时被赋予高度优先级。在一个广泛的实验研究与标准基准ASlib,我们的方法被证明是非常有竞争力的,在许多情况下,甚至优于国家的最先进的AS方法。

英文摘要:

Algorithm selection (AS) deals with the automatic selection of an algorithm from a fixed set of candidate algorithms most suitable for a specific instance of an algorithmic problem class, where "suitability" often refers to an algorithm's runtime. Due to possibly extremely long runtimes of candidate algorithms, training data for algorithm selection models is usually generated under time constraints in the sense that not all algorithms are run to completion on all instances. Thus, training data usually comprises censored information, as the true runtime of algorithms timed out remains unknown. However, many standard AS approaches are not able to handle such information in a proper way. On the other side, survival analysis (SA) naturally supports censored data and offers appropriate ways to use such data for learning distributional models of algorithm runtime, as we demonstrate in this work. We leverage such models as a basis of a sophisticated decision-theoretic approach to algorithm selection, which we dub Run2Survive. Moreover, taking advantage of a framework of this kind, we advocate a risk-averse approach to algorithm selection, in which the avoidance of a timeout is given high priority. In an extensive experimental study with the standard benchmark ASlib, our approach is shown to be highly competitive and in many cases even superior to state-of-the-art AS approaches.

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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