6–9 Jul 2026
Europe/Warsaw timezone

An Enhanced Projection Pursuit Tree Classifier with Visual Methods for Assessing Algorithmic Improvements

8 Jul 2026, 10:50
20m
Talks (15-20 minutes) Talks

Speaker

Natalia da Silva (Universidad de la República)

Description

This talk presents enhancements to the projection pursuit tree classifier and visual diagnostic methods for assessing their impact in high dimensions. The original algorithm uses linear combinations of variables in a tree structure where depth is constrained to be less than the number of classes, a limitation that proves too rigid for complex classification problems. Our extensions improve performance in multi-class settings with unequal variance-covariance structures and nonlinear class separations by allowing more splits and more flexible class groupings in the projection pursuit computation. Proposing algorithmic improvements is straightforward; demonstrating their actual utility is not. We therefore develop two visual diagnostic approaches to verify that the enhancements perform as intended. Using high-dimensional visualization techniques, we examine model fits on benchmark datasets to assess whether the algorithm behaves as theorized. An interactive web application enables users to explore the behavior of both the original and enhanced classifiers under controlled scenarios. The enhancements are implemented in the R package PPtreeExt, which is available on CRAN.

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Additional Material or Paper

The working paper is available at https://arxiv.org/abs/2602.21130 and we are in the final stages of revision prior to submission. The R package associated with this work, PPtreeExt, is available on CRAN (https://cran.rproject.org/web/packages/PPtreeExt/index.html).

Keywords: Please list up to 5 keywords to help us find the right session for your contribution. classification, heterogeneous variance, machine learning, projection pursuit, separability, tree classifier
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Author

Natalia da Silva (Universidad de la República)

Co-authors

Dianne Cook (Monash University, Australia) Eun-Kyung Lee (Ewha Womans University)

Presentation materials

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