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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 present a new model and methods for the posterior drift problem where the regression function in the target domain is modeled as a linear adjustment (on an appropriate scale) of that in the source domain, an idea that inherits the…

Methodology · Statistics 2021-12-14 Subha Maity , Diptavo Dutta , Jonathan Terhorst , Yuekai Sun , Moulinath Banerjee

Human learners have the natural ability to use knowledge gained in one setting for learning in a different but related setting. This ability to transfer knowledge from one task to another is essential for effective learning. In this paper,…

Statistics Theory · Mathematics 2019-06-10 T. Tony Cai , Hongji Wei

Transfer learning is essential when sufficient data comes from the source domain, with scarce labeled data from the target domain. We develop estimators that achieve minimax linear risk for linear regression problems under distribution…

Machine Learning · Computer Science 2021-06-24 Qi Lei , Wei Hu , Jason D. Lee

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

Transfer learning for nonparametric regression is considered. We first study the non-asymptotic minimax risk for this problem and develop a novel estimator called the confidence thresholding estimator, which is shown to achieve the minimax…

Machine Learning · Statistics 2024-01-24 T. Tony Cai , Hongming Pu

We study linear regression under covariate shift, where the marginal distribution over the input covariates differs in the source and the target domains, while the conditional distribution of the output given the input covariates is similar…

Machine Learning · Computer Science 2022-08-04 Jingfeng Wu , Difan Zou , Vladimir Braverman , Quanquan Gu , Sham M. Kakade

Transfer learning refers to the promising idea of initializing model fits based on pre-training on other data. We particularly consider regression modeling settings where parameter estimates from previous data can be used as anchoring…

Methodology · Statistics 2020-07-07 Wessel N. van Wieringen , Harald Binder

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

In many business settings, task-specific labeled data are scarce or costly to obtain, limiting supervised learning on a target task. A classical response is transfer learning (TL). Many TL works study how to transfer information from…

Machine Learning · Statistics 2026-05-14 Hamza Cherkaoui , Hélène Halconruy , Yohan Petetin

When labeled data is scarce for a specific target task, transfer learning often offers an effective solution by utilizing data from a related source task. However, when transferring knowledge from a less related source, it may inversely…

Machine Learning · Computer Science 2019-10-08 Zirui Wang , Zihang Dai , Barnabás Póczos , Jaime Carbonell

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

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

This paper considers the estimation and prediction of a high-dimensional linear regression in the setting of transfer learning, using samples from the target model as well as auxiliary samples from different but possibly related regression…

Methodology · Statistics 2020-06-19 Sai Li , T. Tony Cai , Hongzhe Li

In massive data analysis, training and testing data often come from very different sources, and their probability distributions are not necessarily identical. A feature example is nonparametric classification in posterior drift model where…

Statistics Theory · Mathematics 2020-11-10 Ruiqi Liu , Kexuan Li , Zuofeng Shang

This paper investigates locally linear regression for locally stationary time series and develops theoretical results for locally linear smoothing and transfer learning. Existing analyses have focused on local constant estimators and given…

Statistics Theory · Mathematics 2025-11-19 Jinwoo Park

Transfer learning, also referred as knowledge transfer, aims at reusing knowledge from a source dataset to a similar target one. While many empirical studies illustrate the benefits of transfer learning, few theoretical results are…

Statistics Theory · Mathematics 2021-02-19 David Obst , Badih Ghattas , Jairo Cugliari , Georges Oppenheim , Sandra Claudel , Yannig Goude

We develop and analyze a general technique for learning with an unknown distribution drift. Given a sequence of independent observations from the last $T$ steps of a drifting distribution, our algorithm agnostically learns a family of…

Machine Learning · Computer Science 2023-10-31 Alessio Mazzetto , Eli Upfal

Transfer learning assumes classifiers of similar tasks share certain parameter structures. Unfortunately, modern classifiers uses sophisticated feature representations with huge parameter spaces which lead to costly transfer. Under the…

Machine Learning · Statistics 2015-10-20 Song Liu , Kenji Fukumizu

Transfer learning (TL) has emerged as a powerful tool for improving estimation and prediction performance by leveraging information from related datasets, with the offset TL (O-TL) being a prevailing implementation. In this paper, we adapt…

Methodology · Statistics 2026-03-12 Yuping Yang , Zhiyang Zhou
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