标题： 全球活动得分 显示英文标题

标题： Global Activity Scores

摘要： 我们引入了一种新的全局灵敏度度量，称为全局活动得分。 这种新度量是从全局活动子空间方法获得的，类似于从活动子空间方法获得活动得分度量的方式。 我们提出了关于Sobol'灵敏度指数与全局活动得分之间关系的理论结果。 我们展示了数值例子，在这些例子中，我们比较了一些模型的全局灵敏度分析结果， 使用了Sobol'灵敏度指数、基于导数的灵敏度度量、活动得分和全局活动得分。 数值结果揭示了全局活动得分相对于基于导数的灵敏度度量和活动得分具有优势的情景，以及三种度量给出相似结果的情景。 显示英文摘要

摘要： We introduce a new global sensitivity measure called global activity score. The new measure is obtained from the global active subspace method, similar to the way the activity score measure is obtained from the active subspace method. We present theoretical results on the relationship between Sobol' sensitivity indices and global activity scores. We present numerical examples where we compare the results of the global sensitivity analysis of some models using Sobol' sensitivity indices, derivative-based sensitivity measures, activity scores, and global activity scores. The numerical results reveal the scenarios when the global activity score has advantages over derivative-based sensitivity measures and activity scores, and when the three measures give similar results.