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一个简单且通用的去偏机器学习定理及其有限样本保证

A simple and general debiased machine learning theorem with finite-sample guarantees

Biometrika · 2022
被引 18
ABS 4

中文导读

提出了一个非渐近的去偏机器学习定理,适用于任何满足简单可解释条件的机器学习算法,通过有限样本论证证明了一致性、高斯近似和半参数效率,为将现代学习理论速率转化为传统统计推断提供了简单条件。

Abstract

Summary Debiased machine learning is a meta-algorithm based on bias correction and sample splitting to calculate confidence intervals for functionals, i.e., scalar summaries, of machine learning algorithms. For example, an analyst may seek the confidence interval for a treatment effect estimated with a neural network. We present a non-asymptotic debiased machine learning theorem that encompasses any global or local functional of any machine learning algorithm that satisfies a few simple, interpretable conditions. Formally, we prove consistency, Gaussian approximation and semiparametric efficiency by finite-sample arguments. The rate of convergence is $n^{-1/2}$ for global functionals, and it degrades gracefully for local functionals. Our results culminate in a simple set of conditions that an analyst can use to translate modern learning theory rates into traditional statistical inference. The conditions reveal a general double robustness property for ill-posed inverse problems.

去偏机器学习统计推断置信区间半参数效率有限样本理论