An RKHS Perspective on Tree Ensembles

arXiv — stat.MLTuesday, December 2, 2025 at 5:00:00 AM
  • A new theoretical framework has been developed for analyzing tree-based ensemble methods, particularly Random Forests and Gradient Boosting, through Reproducing Kernel Hilbert Spaces (RKHS). This framework provides insights into the analytical properties of Random Forests, including boundedness and continuity, and offers a variational interpretation of ensemble learning.
  • This development is significant as it enhances the understanding of how Random Forests operate, potentially leading to improved performance in supervised learning tasks on tabular data. The characterization of Random Forest predictors as unique minimizers of a penalized empirical risk functional could influence future algorithm design.
  • The exploration of Random Forests is particularly relevant in the context of regression tasks, where variations in bootstrap sampling rates can impact performance. Understanding these dynamics is crucial for optimizing machine learning models, as it highlights the importance of methodological choices in achieving better predictive accuracy.
— via World Pulse Now AI Editorial System

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