Data-driven Error Estimation: Excess Risk Bounds without Class Complexity as Input
数据驱动的误差估计:无需输入函数类复杂度的超额风险界
Constructing confidence intervals that are simultaneously valid across a class of estimates is central to tasks such as multiple mean estimation, generalization guarantees, and adaptive experimental design. We frame this as an ``error estimation problem," where the goal is to determine a high-probability upper bound on the maximum error for a class of estimates. We propose an entirely data-driven approach that derives such bounds for both finite and infinite class settings,…