论文标题
关于线性较低级别的双光线优化问题的部分平静的注释
A note on partial calmness for bilevel optimization problems with linearly structured lower level
论文作者
论文摘要
部分平静是二聚体优化问题的著名但限制性的特性，其存在为Karush-kuhn-tucker-type的推导提供了一种必要的最佳条件，以表征本地最小化的人。过去，已经研究了足够的部分平静有效性的条件。在这方面，线性结构化的下层问题的存在已被证明是有益的。但是，相关的文献遭受了不准确的结果。在本说明中，我们阐明了一些关于错误的陈述，并借助说明性反例来想象基本问题。
Partial calmness is a celebrated but restrictive property of bilevel optimization problems whose presence opens a way to the derivation of Karush--Kuhn--Tucker-type necessary optimality conditions in order to characterize local minimizers. In the past, sufficient conditions for the validity of partial calmness have been investigated. In this regard, the presence of a linearly structured lower level problem has turned out to be beneficial. However, the associated literature suffers from inaccurate results. In this note, we clarify some regarding erroneous statements and visualize the underlying issues with the aid of illustrative counterexamples.
