Contrasting Global and Patient-Specific Regression Models via a Neural Network Representation

📅 2026-01-26
📈 Citations: 0
Influential: 0
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🤖 AI Summary
This work proposes an interpretable diagnostic framework to address the limitations of global models in clinical prediction, which often fail to account for individual heterogeneity and lack mechanisms to identify patient subgroups where they underperform. By jointly optimizing an autoencoder’s reconstruction capability and its association with local outcomes, the method constructs a locally weighted regression model in a low-dimensional latent space. It identifies regions where the global model performs poorly by comparing global and patient-specific predictions. Crucially, the approach enables mapping discovered subgroups back to the original feature space to elucidate the underlying failure mechanisms. Validation in a chronic obstructive pulmonary disease cohort demonstrates that while the global model suffices for most patients, a distinct subgroup significantly benefits from personalized modeling, with key clinical characteristics driving this differential performance successfully uncovered.

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📝 Abstract
When developing clinical prediction models, it can be challenging to balance between global models that are valid for all patients and personalized models tailored to individuals or potentially unknown subgroups. To aid such decisions, we propose a diagnostic tool for contrasting global regression models and patient-specific (local) regression models. The core utility of this tool is to identify where and for whom a global model may be inadequate. We focus on regression models and specifically suggest a localized regression approach that identifies regions in the predictor space where patients are not well represented by the global model. As localization becomes challenging when dealing with many predictors, we propose modeling in a dimension-reduced latent representation obtained from an autoencoder. Using such a neural network architecture for dimension reduction enables learning a latent representation simultaneously optimized for both good data reconstruction and for revealing local outcome-related associations suitable for robust localized regression. We illustrate the proposed approach with a clinical study involving patients with chronic obstructive pulmonary disease. Our findings indicate that the global model is adequate for most patients but that indeed specific subgroups benefit from personalized models. We also demonstrate how to map these subgroup models back to the original predictors, providing insight into why the global model falls short for these groups. Thus, the principal application and diagnostic yield of our tool is the identification and characterization of patients or subgroups whose outcome associations deviate from the global model.
Problem

Research questions and friction points this paper is trying to address.

global regression models
patient-specific models
localized regression
clinical prediction
model inadequacy
Innovation

Methods, ideas, or system contributions that make the work stand out.

localized regression
autoencoder
neural network representation
global vs. patient-specific models
latent representation
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Max Behrens
Institute of Medical Biometry and Statistics, Faculty of Medicine and Medical Center, University of Freiburg, Stefan-Meier-Straße 26, Freiburg, 79104, Germany; Freiburg Center for Data Analysis and Modeling, University of Freiburg, Ernst-Zermelo-Straße 1, Freiburg, 79104, Germany
D
Daiana Stolz
Clinic of Pneumology, Medical Center – University of Freiburg, Faculty of Medicine, University of Freiburg, Killianstrasse 5, Freiburg, 79106, Germany
E
E. Papakonstantinou
Clinic of Pneumology, Medical Center – University of Freiburg, Faculty of Medicine, University of Freiburg, Killianstrasse 5, Freiburg, 79106, Germany
J
J. Nolde
Department of Nephrology, Faculty of Medicine and Medical Center, University of Freiburg, Hugstetter Strasse 55, Freiburg, 79106, Germany
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Gabriele Bellerino
University of Freiburg, Department of Mathematical Stochastics, Ernst-Zermelo-Straße 1, Freiburg, 79104, Germany
A
Angelika Rohde
University of Freiburg, Department of Mathematical Stochastics, Ernst-Zermelo-Straße 1, Freiburg, 79104, Germany
M
Moritz Hess
Institute of Medical Biometry and Statistics, Faculty of Medicine and Medical Center, University of Freiburg, Stefan-Meier-Straße 26, Freiburg, 79104, Germany; Freiburg Center for Data Analysis and Modeling, University of Freiburg, Ernst-Zermelo-Straße 1, Freiburg, 79104, Germany
Harald Binder
Harald Binder
Director of the Institute of Medical Biometry and Statistics, University of Freiburg
BiostatisticsMachine LearningDeep Learning