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In typical high dimensional statistical inference problems, confidence intervals and hypothesis tests are performed for a low dimensional subset of model parameters under the assumption that the parameters of interest are unconstrained.…

Methodology · Statistics 2019-11-19 Ming Yu , Varun Gupta , Mladen Kolar

We address the goal of conducting inference about a smooth finite-dimensional parameter by utilizing individual-level data from various independent sources. Recent advancements have led to the development of a comprehensive theory capable…

Statistics Theory · Mathematics 2025-11-19 Ellen Graham , Marco Carone , Andrea Rotnitzky

Uncovering causal effects in multiple treatment setting at various levels of granularity provides substantial value to decision makers. Comprehensive machine learning approaches to causal effect estimation allow to use a single causal…

Econometrics · Economics 2025-02-17 Michael Lechner , Jana Mareckova

Estimating causal effects of continuous treatments is a common problem in practice, for example, in studying average dose-response functions. Classical analyses typically assume that all confounders are fully observed, whereas in real-world…

Statistics Theory · Mathematics 2026-04-14 Shuyuan Chen , Peng Zhang , Yifan Cui

We consider a linear mixed-effects model with a clustered structure, where the parameters are estimated using maximum likelihood (ML) based on possibly unbalanced data. Inference with this model is typically done based on asymptotic theory,…

Statistics Theory · Mathematics 2021-03-30 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing

Doubly robust estimators are widely used for estimating average treatment effects and other linear summaries of regression functions. While consistency requires only one of two nuisance functions to be estimated consistently, asymptotic…

Methodology · Statistics 2025-07-01 Lars van der Laan , Alex Luedtke , Marco Carone

We present machine learning estimators for causal and predictive parameters under covariate shift, where covariate distributions differ between training and target populations. One such parameter is the average effect of a policy that…

Methodology · Statistics 2025-09-23 Victor Chernozhukov , Michael Newey , Whitney K Newey , Rahul Singh , Vasilis Syrgkanis

Modern machine learning (ML) methods typically fail to adequately capture causal information. Consequently, such models do not handle data distributional shifts, are vulnerable to adversarial examples, and often learn spurious correlations.…

Quantum Physics · Physics 2026-01-27 Rishi Goel , Casey R. Myers , Sally Shrapnel

Causal machine learning (Causal ML) aims to answer "what if" questions using machine learning algorithms, making it a promising tool for high-stakes decision-making. Yet, empirical evaluation practices in Causal ML remain limited. Existing…

Accumulated Local Effect (ALE) is a method for accurately estimating feature effects, overcoming fundamental failure modes of previously-existed methods, such as Partial Dependence Plots. However, ALE's approximation, i.e. the method for…

Machine Learning · Computer Science 2022-10-11 Vasilis Gkolemis , Theodore Dalamagas , Christos Diou

We introduce the package ddml for Double/Debiased Machine Learning (DDML) in Stata. Estimators of causal parameters for five different econometric models are supported, allowing for flexible estimation of causal effects of endogenous…

Econometrics · Economics 2024-01-09 Achim Ahrens , Christian B. Hansen , Mark E. Schaffer , Thomas Wiemann

The large-sample properties of likelihood-based statistical inference under mixture models have received much attention from statisticians. Although the consistency of the nonparametric MLE is regarded as a standard conclusion, many…

Statistics Theory · Mathematics 2016-07-06 Jiahua Chen

Over the past few decades, addressing "spatial confounding" has become a major topic in spatial statistics. However, the literature has provided conflicting definitions, and many proposed solutions are tied to specific analysis models and…

Methodology · Statistics 2024-10-14 Brian Gilbert , Abhirup Datta , Joan A. Casey , Elizabeth L. Ogburn

Distance metric learning is successful in discovering intrinsic relations in data. However, most algorithms are computationally demanding when the problem size becomes large. In this paper, we propose a discriminative metric learning…

Machine Learning · Computer Science 2019-05-15 Jun Li , Xun Lin , Xiaoguang Rui , Yong Rui , Dacheng Tao

Large Language Models (LLMs) offer a flexible means to generate synthetic tabular data, yet existing approaches often fail to preserve key causal parameters such as the average treatment effect (ATE). In this technical exploration, we first…

Machine Learning · Computer Science 2025-11-04 Dana Kim , Yichen Xu , Tiffany Lin

The maximum likelihood estimator (MLE) is pivotal in statistical inference, yet its application is often hindered by the absence of closed-form solutions for many models. This poses challenges in real-time computation scenarios,…

Methodology · Statistics 2025-04-16 Pedro L. Ramos , Eduardo Ramos , Francisco A. Rodrigues , Francisco Louzada

Distributed statistical inference has recently attracted immense attention. The asymptotic efficiency of the maximum likelihood estimator (MLE), the one-step MLE, and the aggregated estimating equation estimator are established for…

Methodology · Statistics 2020-08-14 Ping Zhou , Zhen Yu , Jingyi Ma , Maozai Tian , Ye Fan

We propose a double/debiased machine learning framework to estimate average derivative effects in nonparametric panel models with two-way fixed effects. It extends instrumental variable methods to panel settings, handles continuous…

Methodology · Statistics 2026-05-19 Peikai Wu , Kuan Sun , Zhiguo Xiao

The existing work on the distributed training of machine learning (ML) models has consistently overlooked the distribution of the achieved learning quality, focusing instead on its average value. This leads to a poor dependability}of the…

Machine Learning · Computer Science 2024-02-23 Francesco Malandrino , Giuseppe Di Giacomo , Marco Levorato , Carla Fabiana Chiasserini

We study the problem of estimating an unknown parameter in a distributed and online manner. Existing work on distributed online learning typically either focuses on asymptotic analysis, or provides bounds on regret. However, these results…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Lei Xin , George Chiu , Shreyas Sundaram