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Fast Interpretable Greedy-Tree Sums.

Yan Shuo Tan1, Chandan Singh2,3, Keyan Nasseri2

  • 1Department of Statistics and Data Science, National University of Singapore, Singapore 119077, Republic of Singapore.

Proceedings of the National Academy of Sciences of the United States of America
|February 14, 2025
PubMed
Summary
This summary is machine-generated.

Fast Interpretable Greedy-Tree Sums (FIGS) enhances machine learning interpretability by summing decision trees, adapting to additive structures for better prediction. This method, particularly G-FIGS, improves clinical decision instruments without sacrificing accuracy or understanding.

Keywords:
CARTXGBoostclinical decision instrumentinterpretabilityrandom forest

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Area of Science:

  • Machine Learning
  • Medical Informatics
  • Computational Statistics

Background:

  • Modern machine learning models often lack interpretability, a crucial factor in high-stakes fields like medicine.
  • Traditional interpretable decision trees (e.g., CART) exhibit inductive bias against additive structures.
  • There is a need for interpretable models that can capture complex, additive relationships in data.

Purpose of the Study:

  • To introduce Fast Interpretable Greedy-Tree Sums (FIGS), a novel algorithm generalizing CART to sum multiple trees for improved interpretability and performance.
  • To adapt FIGS for clinical decision instruments (CDIs) through a variant called Group Probability-Weighted Tree Sums (G-FIGS), addressing medical data heterogeneity.
  • To theoretically analyze FIGS' disentanglement property and its efficiency in learning additive models.

Main Methods:

  • FIGS generalizes Classification and Regression Trees (CART) by growing multiple trees in summation, combining logical rules with addition.
  • G-FIGS is developed to learn CDIs, accounting for heterogeneity in medical data and improving specificity.
  • Bagging-FIGS, an ensemble method, is introduced to mitigate overfitting by employing variance reduction techniques similar to random forests.

Main Results:

  • FIGS achieves state-of-the-art prediction performance on real-world datasets.
  • G-FIGS derives CDIs with up to 20% improved specificity over CART, maintaining sensitivity and interpretability.
  • Theoretical analysis shows FIGS achieves disentanglement, enabling more efficient generalization for additive regression functions.
  • Bagging-FIGS demonstrates competitive performance against Random Forests and XGBoost.

Conclusions:

  • FIGS offers a powerful and interpretable alternative to traditional machine learning models, particularly in domains requiring explainability.
  • G-FIGS provides a valuable tool for developing robust and interpretable clinical decision instruments.
  • The disentanglement property of FIGS contributes to a deeper theoretical understanding of tree-sum models and their generalization capabilities.