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arXiv · 2511.12725

Convolutional Model Trees

William Ward Armstrong·Hongyi Li·Jun Xu
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Abstract

A method for creating a forest of model trees to fit samples of a function defined on images is described in several steps: down-sampling the images, determining a tree's hyperplanes, applying convolutions to the hyperplanes to handle small distortions of training images, and creating forests of model trees to increase accuracy and achieve a smooth fit. A 1-to-1 correspondence among pixels of images, coefficients of hyperplanes and coefficients of leaf functions offers the possibility of dealing with larger distortions such as arbitrary rotations or changes of perspective. A theoretical method for smoothing forest outputs to produce a continuously differentiable approximation is described. Within that framework, a training procedure is proved to converge.

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William Ward Armstrong, Hongyi Li, Jun Xu. 2025-11-16. Convolutional Model Trees. https://arxiv.org/abs/2511.12725

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