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  1. Home
  2. On The Connections Among Three Transfer Learning Paradigms.
  1. Home
  2. On The Connections Among Three Transfer Learning Paradigms.

Related Experiment Video

Using Virtual Reality to Transfer Motor Skill Knowledge from One Hand to Another
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On the Connections Among Three Transfer Learning Paradigms.

Tian Gu1, Sijia Li2, Rui Duan3

  • 1Department of Biostatistics, Columbia Mailman School of Public Health, New York, New York, USA.

Stat (International Statistical Institute)
|November 26, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

We identified a general solution path for transfer learning estimators in linear models, revealing how they combine source and target data. This framework unifies existing methods and aids in developing new estimators for improved machine learning.

Keywords:
catalytic priorgradient descentimplicit regularizationpenalized regressiontransfer learning

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Area of Science:

  • Machine Learning
  • Statistical Modeling
  • Biostatistics

Background:

  • Transfer learning (TL) is crucial for leveraging existing data to improve model performance on new tasks.
  • Existing TL methods often lack a unified theoretical framework, hindering the design of novel estimators.
  • Understanding the interpolation between source and target estimators is key to advancing TL.

Purpose of the Study:

  • To analyze the solution paths of three transfer learning estimators in linear models.
  • To develop a general framework characterizing the interpolation between source and target estimators.
  • To demonstrate the practical utility of the proposed framework in a real-world application.

Main Methods:

  • Mathematical analysis of transfer learning estimator solution paths.
  • Identification of a general solution path involving basis changes and entry-wise weighting.
  • Extensive simulations to validate theoretical findings.
  • Application to end-stage renal disease risk prediction in Hispanic populations.
  • Main Results:

    • A general solution path for TL estimators in linear models was identified.
    • Existing TL methods were shown to be special cases of this general path.
    • The framework reveals connections and equivalences among different TL approaches.
    • Improved risk prediction for end-stage renal disease was achieved.

    Conclusions:

    • The proposed framework provides a unified understanding of TL estimators.
    • It offers insights for designing new TL methods with enhanced control.
    • The approach has potential for generalization to nonlinear models.
    • The practical application demonstrated significant improvements in a health disparity context.