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We consider nonparametric regression under covariate shift, where we observe samples from both the target distribution and a related but distinct source distribution. We introduce a novel object, the transfer function, and show that…

Statistics Theory · Mathematics 2026-03-09 Petr Zamolodtchikov

Transfer learning enhances prediction accuracy on a target distribution by leveraging data from a source distribution, demonstrating significant benefits in various applications. This paper introduces a novel dissimilarity measure that…

Machine Learning · Statistics 2024-12-12 Mitsuhiro Fujikawa , Yohei Akimoto , Jun Sakuma , Kazuto Fukuchi

Many existing covariate shift adaptation methods estimate sample weights given to loss values to mitigate the gap between the source and the target distribution. However, estimating the optimal weights typically involves computationally…

Machine Learning · Statistics 2024-07-01 François Portier , Lionel Truquet , Ikko Yamane

Estimating some mathematical expectations from partially observed data and in particular missing outcomes is a central problem encountered in numerous fields such as transfer learning, counterfactual analysis or causal inference. Matching…

Statistics Theory · Mathematics 2025-05-01 Simon Viel , Lionel Truquet , Ikko Yamane

Covariate shift is a common transfer learning scenario where the marginal distributions of input variables vary between source and target data while the conditional distribution of the output variable remains consistent. The existing…

Statistics Theory · Mathematics 2024-01-23 Petr Zamolodtchikov , Hanyuan Hang

Unsupervised Domain Adaptation aims to learn a model on a source domain with labeled data in order to perform well on unlabeled data of a target domain. Current approaches focus on learning \textit{Domain Invariant Representations}. It…

Machine Learning · Computer Science 2019-07-30 Victor Bouvier , Philippe Very , Céline Hudelot , Clément Chastagnol

Large-scale population-level datasets, such as the UK Biobank and the All of Us Research Program, often lack covariates needed for a specific analysis, such as genetic or lifestyle measures, while related studies measure them. This creates…

Methodology · Statistics 2026-05-07 Huali Zhao , Tianying Wang

Distribution regression seeks to estimate the conditional distribution of a multivariate response given a continuous covariate. This approach offers a more complete characterization of dependence than traditional regression methods.…

Statistics Theory · Mathematics 2025-06-10 Rong Tang , Yun Yang

We study nonparametric regression under covariate shift with structured data, where a small amount of labeled target data is supplemented by a large labeled source dataset. In many real-world settings, the covariates in the target domain…

Statistics Theory · Mathematics 2025-07-02 Yuyao Wang , Nabarun Deb , Debarghya Mukherjee

Covariate shift, a widely used assumption in tackling {\it distributional shift} (when training and test distributions differ), focuses on scenarios where the distribution of the labels conditioned on the feature vector is the same, but the…

Machine Learning · Computer Science 2025-02-24 Deeksha Adil , Jarosław Błasiok

In many real applications of statistical learning, collecting sufficiently many training data is often expensive, time-consuming, or even unrealistic. In this case, a transfer learning approach, which aims to leverage knowledge from a…

Machine Learning · Statistics 2025-02-26 Baozhen Wang , Xingye Qiao

We propose a new framework for binary classification in transfer learning settings where both covariate and label distributions may shift between source and target domains. Unlike traditional covariate shift or label shift assumptions, we…

Methodology · Statistics 2025-09-29 Manli Cheng , Subha Maity , Qinglong Tian , Pengfei Li

We analyze the properties of matching estimators when there are few treated, but many control observations. We show that, under standard assumptions, the nearest neighbor matching estimator for the average treatment effect on the treated is…

Econometrics · Economics 2021-03-24 Bruno Ferman

Covariate shift in the test data is a common practical phenomena that can significantly downgrade both the accuracy and the fairness performance of the model. Ensuring fairness across different sensitive groups under covariate shift is of…

Machine Learning · Computer Science 2024-01-09 Shreyas Havaldar , Jatin Chauhan , Karthikeyan Shanmugam , Jay Nandy , Aravindan Raghuveer

We study covariate shift in the context of nonparametric regression. We introduce a new measure of distribution mismatch between the source and target distributions that is based on the integrated ratio of probabilities of balls at a given…

Statistics Theory · Mathematics 2022-02-08 Reese Pathak , Cong Ma , Martin J. Wainwright

In transfer learning, we wish to make inference about a target population when we have access to data both from the distribution itself, and from a different but related source distribution. We introduce a flexible framework for transfer…

Machine Learning · Statistics 2021-09-03 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

We show that in the context of classification the property of source and target distributions to be related by covariate shift may be lost if the information content captured in the covariates is reduced, for instance by dropping components…

Machine Learning · Statistics 2022-08-16 Dirk Tasche

A default assumption in many machine learning scenarios is that the training and test samples are drawn from the same probability distribution. However, such an assumption is often violated in the real world due to non-stationarity of the…

Machine Learning · Computer Science 2021-05-04 Tianyi Zhang , Ikko Yamane , Nan Lu , Masashi Sugiyama

In supervised learning, the estimation of prediction error on unlabeled test data is an important task. Existing methods are usually built on the assumption that the training and test data are sampled from the same distribution, which is…

Methodology · Statistics 2022-09-30 Hui Xu , Robert Tibshirani

Transfer learning aims to improve performance on a target task by leveraging information from related source tasks. We propose a nonparametric regression transfer learning framework that explicitly models heterogeneity in the source-target…

Statistics Theory · Mathematics 2026-03-19 Hélène Halconruy , Benjamin Bobbia , Paul Lejamtel
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