One can typically form a local robustness metric for a particular problem quite directly, for Markov chain Monte Carlo applications as well as optimization problems such as variational Bayes. However, we argue that simply forming a local robustness metric is not enough: the hard work is showing that it is useful. Computability, interpretability, and the ability of a local robustness metric to extrapolate well, are more important -- and often more difficult to establish -- than mere computation of derivatives.
翻译:对于Markov连锁公司Monte Carlo的应用以及诸如变式贝耶斯等优化问题,人们通常可以非常直接地为某一特定问题制定当地稳健度度量标准。然而,我们争辩说,仅仅形成当地稳健度度度量标准是不够的:辛勤工作表明它有用。 计算、可解释性和地方稳健度度量标准的能力来进行良好的外推,比仅仅计算衍生物更重要,而且往往更难确定。</s>