通过自动微分和概率编程简化去偏推断

Simplifying debiased inference via automatic differentiation and probabilistic programming

Journal of the Royal Statistical Society. Series B: Statistical Methodology · 2025
被引 0
ABS 4

中文导读

提出Dimple算法,自动从参数代码生成高效估计量,无需用户推导影响函数,只需几行Python代码即可实现从参数定义到高效估计。

Abstract

Abstract We introduce an algorithm that simplifies the construction of efficient estimators, making them accessible to a broader audience. ‘Dimple’ takes as input computer code representing a parameter of interest and outputs an efficient estimator. Unlike standard approaches, it does not require users to derive a functional derivative known as the efficient influence function. Dimple avoids this task by applying automatic differentiation to the statistical functional of interest. Doing so requires expressing this functional as a composition of primitives satisfying a novel differentiability condition. Dimple also uses this composition to determine the nuisances it must estimate. In software, primitives can be implemented independently of one another and reused across different estimation problems. We provide a proof-of-concept Python implementation and showcase through examples how it allows users to go from parameter specification to efficient estimation with just a few lines of code.

计量经济学统计推断机器学习计算统计学