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Transfer learning has become an essential technique to exploit information from the source domain to boost performance of the target task. Despite the prevalence in high-dimensional data, heterogeneity and heavy tails are insufficiently…

Machine Learning · Statistics 2023-11-07 Jiayu Huang , Mingqiu Wang , Yuanshan Wu

This paper introduces a Factor Augmented Sparse Throughput (FAST) model that utilizes both latent factors and sparse idiosyncratic components for nonparametric regression. The FAST model bridges factor models on one end and sparse…

Statistics Theory · Mathematics 2023-11-28 Jianqing Fan , Yihong Gu

The objective of transfer learning is to enhance estimation and inference in a target data by leveraging knowledge gained from additional sources. Recent studies have explored transfer learning for independent observations in complex,…

Machine Learning · Statistics 2025-04-23 Mingliang Ma Abolfazl Safikhani

In this work, we study the transfer learning problem under high-dimensional generalized linear models (GLMs), which aim to improve the fit on target data by borrowing information from useful source data. Given which sources to transfer, we…

Machine Learning · Statistics 2022-04-19 Ye Tian , Yang Feng

Transfer learning has become an essential technique for utilizing information from source datasets to improve the performance of the target task. However, in the context of high-dimensional data, heterogeneity arises due to heteroscedastic…

Methodology · Statistics 2024-06-26 Xiaohui Yuan , Shujie Ren

We consider Heterogeneous Transfer Learning (HTL) from a source to a new target domain for high-dimensional regression with differing feature sets. Most homogeneous TL methods assume that target and source domains share the same feature…

Machine Learning · Statistics 2025-12-02 Jae Ho Chang , Massimiliano Russo , Subhadeep Paul

Transfer learning plays a key role in modern data analysis when: (1) the target data are scarce but the source data are sufficient; (2) the distributions of the source and target data are heterogeneous. This paper develops an interpretable…

Machine Learning · Statistics 2024-01-31 Shuo Shuo Liu

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

Latent space model plays a crucial role in network analysis, and accurate estimation of latent variables is essential for downstream tasks such as link prediction. However, the large number of parameters to be estimated presents a…

Methodology · Statistics 2025-09-22 Kuangnan Fang , Ruixuan Qin , Xinyan Fan

Two key challenges in modern statistical applications are the large amount of information recorded per individual, and that such data are often not collected all at once but in batches. These batch effects can be complex, causing…

Applications · Statistics 2019-05-21 Alejandra Avalos-Pacheco , David Rossell , Richard S. Savage

Learning systems often expand their ambient features or latent representations over time, embedding earlier representations into larger spaces with limited new latent structure. We study transfer learning for structured matrix estimation…

Machine Learning · Computer Science 2026-01-30 Jinhang Chai , Xuyuan Liu , Elynn Chen , Yujun Yan

Transfer learning research attempts to make model induction transferable across different domains. This method assumes that specific information regarding to which domain each instance belongs is known. This paper helps to extend the…

Machine Learning · Computer Science 2025-06-04 Xinshun Liu , He Xin , Mao Hui , Liu Jing , Lai Weizhong , Ye Qingwen

Development of comprehensive prediction models are often of great interest in many disciplines of science, but datasets with information on all desired features often have small sample sizes. We describe a transfer learning approach for…

Methodology · Statistics 2024-08-20 Ruzhang Zhao , Prosenjit Kundu , Arkajyoti Saha , Nilanjan Chatterjee

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

Despite increasing focus on data publication and discovery in materials science and related fields, the global view of materials data is highly sparse. This sparsity encourages training models on the union of multiple datasets, but simple…

Machine Learning · Computer Science 2017-11-15 Maxwell L. Hutchinson , Erin Antono , Brenna M. Gibbons , Sean Paradiso , Julia Ling , Bryce Meredig

Factor and sparse models are two widely used methods to impose a low-dimensional structure in high-dimensions. However, they are seemingly mutually exclusive. We propose a lifting method that combines the merits of these two models in a…

Econometrics · Economics 2022-09-07 Jianqing Fan , Ricardo Masini , Marcelo C. Medeiros

We introduce a transfer learning framework for regression that leverages heterogeneous source domains to improve predictive performance in a data-scarce target domain. Our approach learns a conditional generative model separately for each…

Machine Learning · Statistics 2026-02-03 Yikun Zhang , Steven Wilkins-Reeves , Wesley Lee , Aude Hofleitner

We propose a transfer learning method that utilizes data representations in a semiparametric regression model. Our aim is to perform statistical inference on the parameter of primary interest in the target model while accounting for…

Methodology · Statistics 2024-06-21 Baihua He , Huihang Liu , Xinyu Zhang , Jian Huang

Quantile regression is increasingly encountered in modern big data applications due to its robustness and flexibility. We consider the scenario of learning the conditional quantiles of a specific target population when the available data…

Statistics Theory · Mathematics 2024-02-27 Jun Jin , Jun Yan , Robert H. Aseltine , Kun Chen

Transfer learning has emerged as a highly sought-after and actively pursued research area within the statistical community. The core concept of transfer learning involves leveraging insights and information from auxiliary datasets to…

Methodology · Statistics 2024-08-01 Pengfei Li , Tao Yu , Chixiang Chen , Jing Qin
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