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We consider the Hypothesis Transfer Learning (HTL) problem where one incorporates a hypothesis trained on the source domain into the learning procedure of the target domain. Existing theoretical analysis either only studies specific…

Machine Learning · Statistics 2017-11-07 Simon Shaolei Du , Jayanth Koushik , Aarti Singh , Barnabas Poczos

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

We propose a novel Bayesian methodology for inference in functional linear and logistic regression models based on the theory of reproducing kernel Hilbert spaces (RKHS's). We introduce general models that build upon the RKHS generated by…

Methodology · Statistics 2025-09-09 José R. Berrendero , Antonio Coín , Antonio Cuevas

Transfer learning can address the learning tasks of unlabeled data in the target domain by leveraging plenty of labeled data from a different but related source domain. A core issue in transfer learning is to learn a shared feature space in…

Machine Learning · Computer Science 2019-01-10 Peng Xu , Zhaohong Deng , Jun Wang , Qun Zhang , Shitong Wang

A central challenge in reinforcement learning (RL) is to learn models that generalize beyond the tasks on which they are trained, a goal traditionally pursued through multi-task and meta RL. Recently, transformer architectures have emerged…

Machine Learning · Computer Science 2026-05-12 Bowen He , Juncheng Dong , Lin Lin , Xiang Cheng

Transfer learning (TL) techniques, which leverage prior knowledge gained from data with different distributions to achieve higher performance and reduced training time, are often used in computer vision (CV) and natural language processing…

Signal Processing · Electrical Eng. & Systems 2022-10-05 Lauren J. Wong , Sean McPherson , Alan J. Michaels

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

Transfer learning (TL) for high-dimensional regression (HDR) is an important problem in machine learning, particularly when dealing with limited sample size in the target task. However, there currently lacks a method to quantify the…

Machine Learning · Statistics 2025-04-28 Nguyen Vu Khai Tam , Cao Huyen My , Vo Nguyen Le Duy

Motivated by the abundance of functional data such as time series and images, there has been a growing interest in integrating such data into neural networks and learning maps from function spaces to R (i.e., functionals). In this paper, we…

Machine Learning · Statistics 2024-03-20 Tian-Yi Zhou , Namjoon Suh , Guang Cheng , Xiaoming Huo

Hypothesis transfer learning (HTL) contrasts domain adaptation by allowing for a previous task leverage, named the source, into a new one, the target, without requiring access to the source data. Indeed, HTL relies only on a hypothesis…

Machine Learning · Statistics 2023-07-17 Anass Aghbalou , Guillaume Staerman

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

We propose a framework for transfer learning of discount curves across different fixed-income product classes. Motivated by challenges in estimating discount curves from sparse or noisy data, we extend kernel ridge regression (KR) to a…

Machine Learning · Statistics 2026-01-14 Nicolas Camenzind , Damir Filipovic

Multiscale Models are known to be successful in uncovering and analyzing the structures in data at different resolutions. In the current work we propose a feature driven Reproducing Kernel Hilbert space (RKHS), for which the associated…

Machine Learning · Computer Science 2022-08-24 Prashant Shekhar , Abani Patra

We present a novel diffusion scheme for online kernel-based learning over networks. So far, a major drawback of any online learning algorithm, operating in a reproducing kernel Hilbert space (RKHS), is the need for updating a growing number…

Machine Learning · Computer Science 2018-03-14 Pantelis Bouboulis , Symeon Chouvardas , Sergios Theodoridis

An extension of reproducing kernel Hilbert space (RKHS) theory provides a new framework for modeling functional regression models with functional responses. The approach only presumes a general nonlinear regression structure as opposed to…

Statistics Theory · Mathematics 2008-12-17 Heng Lian

The use of transfer learning (TL) techniques has become common practice in fields such as computer vision (CV) and natural language processing (NLP). Leveraging prior knowledge gained from data with different distributions, TL offers higher…

Signal Processing · Electrical Eng. & Systems 2022-06-17 Lauren J. Wong , Sean McPherson , Alan J. Michaels

We propose a novel framework that unifies and extends existing methods of transfer learning (TL) for regression. To bridge a pretrained source model to the model on a target task, we introduce a density-ratio reweighting function, which is…

Machine Learning · Statistics 2020-12-18 Shunya Minami , Song Liu , Stephen Wu , Kenji Fukumizu , Ryo Yoshida

Transfer reinforcement learning (RL) methods leverage on the experience collected on a set of source tasks to speed-up RL algorithms. A simple and effective approach is to transfer samples from source tasks and include them into the…

Artificial Intelligence · Computer Science 2011-09-02 Alessandro Lazaric , Marcello Restelli

We propose a nonlinear function-on-function regression model where both the covariate and the response are random functions. The nonlinear regression is carried out in two steps: we first construct Hilbert spaces to accommodate the…

Methodology · Statistics 2022-07-19 Peijun Sang , Bing Li

The main ideas behind the classical multivariate logistic regression model make sense when translated to the functional setting, where the explanatory variable $X$ is a function and the response $Y$ is binary. However, some important…

Statistics Theory · Mathematics 2021-07-14 Beatriz Bueno-Larraz , José R. Berrendero , Antonio Cuevas
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