为MaxSAT问题推荐元启发式的元学习

Enrico S. Miranda, F. Fabris, Chrystian G. M. Nascimento, A. Freitas, A. Oliveira
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引用次数: 3

摘要

构建能够为组合优化任务的特定问题选择最佳求解器的推荐系统是非常有趣的,因为该优化任务的各种问题都有过去的求解器运行。本文提出了一种元学习方法来预测哪种元启发式算法是MaxSAT问题的最佳解算器。该提案包括从MaxSAT问题的图形描述中创建新的元特征,以及对元模型的解释。我们的方法在87%的情况下成功地选择了最佳的元启发式来解决每个问题。此外,新的元特征已经显示出与最先进的元特征一样好,并且元模型解释发现了有趣的特定于问题的知识。
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Meta-Learning for Recommending Metaheuristics for the MaxSAT Problem
It is of great interest to build recommendation systems capable of choosing the best solver for a particular problem of a combinatorial optimisation task given past runs of solvers in various problems of that optimisation task. In this paper, a meta-learning approach is proposed to predict which metaheuristic is the best solver for MaxSAT problems. The proposal includes the creation of new meta-features derived from graph descriptions of MaxSAT problems and an interpretation of the meta-model. Our approach successfully selected the best metaheuristic to solve each problem in 87% of the cases. Also, the new meta-features have shown to be as good as the state-of-the-art meta-features, and the meta-model interpretation found interesting problem-specific knowledge.
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