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arXiv 1807.01019cs.NE
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遗传编程中代理模型距离测度的线性组合

Linear Combination of Distance Measures for Surrogate Models in Genetic Programming

Martin Zaefferer, Jörg Stork, Oliver Flasch, Thomas Bartz-Beielstein

摘要:

代理模型是一种行之有效的方法,以减少昂贵的功能评估在连续优化的数量。在遗传编程的背景下,由于复杂的基因型-表型关系,替代建模仍然是一个挑战。我们研究如何不同的基因型和表型距离的措施,可以用来学习克里格模型作为替代品。我们比较的措施,并建议使用它们的线性组合的内核。我们在一个优化框架中测试所得到的模型,使用符号回归问题实例作为基准。我们的实验表明,该模型提供了有价值的信息。首先,与无模型算法相比,该模型能够提高优化性能。此外,该模型提供了不同距离措施的贡献的信息。数据表明,表型距离测量在优化运行的早期阶段是重要的,此时可用的数据较少。相比之下,基因型的措施,如树编辑距离,贡献更多的后期阶段。

英文摘要:

Surrogate models are a well established approach to reduce the number of expensive function evaluations in continuous optimization. In the context of genetic programming, surrogate modeling still poses a challenge, due to the complex genotype-phenotype relationships. We investigate how different genotypic and phenotypic distance measures can be used to learn Kriging models as surrogates. We compare the measures and suggest to use their linear combination in a kernel. We test the resulting model in an optimization framework, using symbolic regression problem instances as a benchmark. Our experiments show that the model provides valuable information. Firstly, the model enables an improved optimization performance compared to a model-free algorithm. Furthermore, the model provides information on the contribution of different distance measures. The data indicates that a phenotypic distance measure is important during the early stages of an optimization run when less data is available. In contrast, genotypic measures, such as the tree edit distance, contribute more during the later stages.

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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