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Unlike the ordinary least-squares (OLS) estimator for the linear model, a ridge regression linear model provides coefficient estimates via shrinkage, usually with improved mean-square and prediction error. This is true especially when the…

Methodology · Statistics 2015-06-25 George Karabatsos

Restricted maximum likelihood (REML) estimation is a widely accepted and frequently used method for fitting linear mixed models, with its principal advantage being that it produces less biased estimates of the variance components. However,…

Methodology · Statistics 2025-05-15 Luca Maestrini , Francis K. C. Hui , Alan H. Welsh

We propose a method to debias estimators based on U-statistics with Machine Learning (ML) first-steps. Standard plug-in estimators often suffer from regularization and model-selection biases, producing invalid inferences. We show that…

Econometrics · Economics 2025-10-09 Juan Carlos Escanciano , Joël Robert Terschuur

We propose plug-in (PI) and double machine learning (DML) estimators of average treatment effect (ATE), average treatment effect on the treated (ATET) and local average treatment effect (LATE) in the multivariate sample selection model with…

Econometrics · Economics 2025-11-18 Sofiia Dolgikh , Bodan Potanin

Regularization is a popular technique in machine learning for model estimation and avoiding overfitting. Prior studies have found that modern ordered regularization can be more effective in handling highly correlated, high-dimensional data…

Machine Learning · Computer Science 2019-11-01 Mahammad Humayoo , Xueqi Cheng

Kernel Regularized Least Squares (KRLS) is a popular method for flexibly estimating models that may have complex relationships between variables. However, its usefulness to many researchers is limited for two reasons. First, existing…

Machine Learning · Statistics 2023-09-12 Qing Chang , Max Goplerud

Logistic regression is commonly used for modeling dichotomous outcomes. In the classical setting, where the number of observations is much larger than the number of parameters, properties of the maximum likelihood estimator in logistic…

Machine Learning · Statistics 2019-11-14 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

This paper establishes the almost sure convergence and asymptotic normality of levels and differenced quasi maximum-likelihood (QML) estimators of dynamic panel data models. The QML estimators are robust with respect to initial conditions,…

Statistics Theory · Mathematics 2017-02-03 Robert F. Phillips

This paper is concerned with high-dimensional error-in-variables regression that aims at identifying a small number of important interpretable factors for corrupted data from many applications where measurement errors or missing data can…

Optimization and Control · Mathematics 2019-08-22 Ting Tao , Shaohua Pan , Shujun Bi

The R package DoubleML implements the double/debiased machine learning framework of Chernozhukov et al. (2018). It provides functionalities to estimate parameters in causal models based on machine learning methods. The double machine…

Machine Learning · Statistics 2024-06-06 Philipp Bach , Victor Chernozhukov , Malte S. Kurz , Martin Spindler , Sven Klaassen

Data augmentation has been proven to be an effective technique for developing machine learning models that are robust to known classes of distributional shifts (e.g., rotations of images), and alignment regularization is a technique often…

Machine Learning · Computer Science 2022-06-07 Haohan Wang , Zeyi Huang , Xindi Wu , Eric P. Xing

Many statistical estimators for high-dimensional linear regression are M-estimators, formed through minimizing a data-dependent square loss function plus a regularizer. This work considers a new class of estimators implicitly defined…

Statistics Theory · Mathematics 2022-02-15 Peng Zhao , Yun Yang , Qiao-Chu He

Double Reinforcement Learning (DRL) enables efficient inference for policy values in nonparametric Markov decision processes (MDPs), but existing methods face two major obstacles: (1) they require stringent intertemporal overlap conditions…

Machine Learning · Statistics 2025-11-14 Lars van der Laan , David Hubbard , Allen Tran , Nathan Kallus , Aurélien Bibaut

This paper analyzes a new regularized learning scheme for high dimensional partially linear support vector machine. The proposed approach consists of an empirical risk and the Lasso-type penalty for linear part, as well as the standard…

Statistics Theory · Mathematics 2020-06-08 Yifan Xia , Yongchao Hou , Shaogao Lv

Data representation techniques have made a substantial contribution to advancing data processing and machine learning (ML). Improving predictive power was the focus of previous representation techniques, which unfortunately perform rather…

Machine Learning · Computer Science 2022-05-24 Qiyou Duan , Hadi Ghauch , Taejoon Kim

The estimation of covariance matrices of multiple classes with limited training data is a difficult problem. The sample covariance matrix (SCM) is known to perform poorly when the number of variables is large compared to the available…

Methodology · Statistics 2021-11-10 Elias Raninen , Esa Ollila

This work proposes a novel general-purpose estimator for supervised machine learning (ML) based on tensor trains (TT). The estimator uses TTs to parametrize discretized functions, which are then optimized using Riemannian gradient descent…

Machine Learning · Computer Science 2022-03-10 Bart Vandereycken , Rik Voorhaar

Proper hyperparameter tuning is essential for achieving optimal performance of modern machine learning (ML) methods in predictive tasks. While there is an extensive literature on tuning ML learners for prediction, there is only little…

Econometrics · Economics 2024-02-08 Philipp Bach , Oliver Schacht , Victor Chernozhukov , Sven Klaassen , Martin Spindler

D&R is a statistical approach designed to handle large and complex datasets. It partitions the dataset into several manageable subsets and subsequently applies the analytic method to each subset independently to obtain results. Finally, the…

Methodology · Statistics 2024-12-12 Md. Mahadi Hassan Nayem , Soma Chowdhury Biswas

Deep Metric Learning (DML) is arguably one of the most influential lines of research for learning visual similarities with many proposed approaches every year. Although the field benefits from the rapid progress, the divergence in training…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Karsten Roth , Timo Milbich , Samarth Sinha , Prateek Gupta , Björn Ommer , Joseph Paul Cohen
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