提出双层适用性框架，设计后可验证额外性能指标是否达标。
Scenario Approach with Post-Design Certification of User-Specified Properties
- 设计时用数据驱动，完成后用同一数据验证新增性能要求
- 无需额外测试集，即可计算失败风险上限
- 适合需事后验证系统可靠性的工程场景
场景法是一种成熟的数据驱动设计框架，其理论可将设计复杂度与泛化性能关联。本文进一步提出一种两层适用性框架：基础适用性指导设计过程，后设计适用性用于事后评估。我们提供了分布无关的失败风险上界，可在不使用额外测试数据的情况下计算。在附加假设下，还推导了下界。为展示方法实用性，论文以H2和极点配置问题为例，并提供从已有数据集中推断关键性能指标分布知识的方法。
原文摘要 · Abstract (English)
The scenario approach is an established data-driven design framework that comes equipped with a powerful theory linking design complexity to generalization properties. In this approach, data are simultaneously used both for design and for certifying the design's reliability, without resorting to a separate test dataset. This paper takes a step further by guaranteeing additional properties, useful in post-design usage but not considered during the design phase. To this end, we introduce a two-level framework of appropriateness: baseline appropriateness, which guides the design process, and post-design appropriateness, which serves as a criterion for a posteriori evaluation. We provide distribution-free upper bounds on the risk of failing to meet the post-design appropriateness; these bounds are computable without using any additional test data. Under additional assumptions, lower bounds are also derived. As part of an effort to demonstrate the usefulness of the proposed methodology, the paper presents two practical examples in H2 and pole-placement problems. Moreover, a method is provided to infer comprehensive distributional knowledge of relevant performance indexes from the available dataset.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品；中文卡片由大模型生成，请以原文为准。