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Hinge Regression Tree: A Newton Method for Oblique Regression Tree Splitting

ArXivSource

Hongyi Li, Han Lin, Jun Xu

cs.LG
|
Feb 5, 2026
3 views

One-line Summary

The Hinge Regression Tree (HRT) is a new method for creating oblique decision trees using a Newton method that improves split quality and convergence speed, outperforming traditional tree models.

Plain-language Overview

Oblique decision trees are a powerful type of decision tree that can handle complex decision boundaries, but they are hard to optimize. The Hinge Regression Tree (HRT) offers a new approach by treating tree splits as a mathematical optimization problem. This method uses a technique similar to Newton's method to find the best splits quickly and reliably. Tests show that HRT creates simpler and more effective trees than traditional methods, making it a promising tool for data analysis.

Technical Details