A Concave Pairwise Fusion Approach to Heterogeneous Q-Learning for Dynamic Treatment Regimes.
Jubo Sun1,2, Wensheng Zhu1, Guozhe Sun3
1Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics, Northeast Normal University, Changchun, China.
Statistics in Medicine
|February 5, 2026
Summary
Heterogeneous Q-learning improves dynamic treatment regimes by accounting for patient subgroups. This approach enhances optimal treatment strategy estimation compared to standard methods, as shown in simulations and real-world hypertension data.
Area of Science:
- Biostatistics
- Machine Learning
- Health Informatics
Background:
- Dynamic treatment regimes optimize sequential decisions for maximum patient benefit.
- Existing methods often assume population homogeneity, potentially limiting effectiveness.
- Latent patient heterogeneity can significantly impact treatment outcome estimations.
Purpose of the Study:
- To develop a novel method for estimating optimal dynamic treatment regimes that accounts for patient heterogeneity.
- To introduce heterogeneous Q-learning using a concave pairwise fusion penalized approach.
- To evaluate the proposed method against standard Q-learning.
Main Methods:
- Proposed heterogeneous Q-learning algorithm utilizing a concave pairwise fusion penalized approach.
- Employed the alternating direction method of multipliers (ADMM) for solving penalized least squares problems.
- Validated through simulation studies and a real-world dataset from the China Rural Hypertension Control Project (CRHCP).
Main Results:
- Heterogeneous Q-learning demonstrated superior performance compared to the standard Q-learning method.
- The method effectively estimates optimal dynamic treatment regimes in the presence of unobserved patient heterogeneity.
- Successful application to the CRHCP dataset highlights practical utility.
Conclusions:
- Heterogeneous Q-learning offers a robust framework for personalized medicine by addressing population heterogeneity.
- The proposed method enhances the accuracy and reliability of dynamic treatment regime estimation.
- This approach holds significant potential for improving clinical decision-making in complex health scenarios.
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