Geometrical Complexity of Classification Problems

Details Geometrical Complexity of Classification Problems Geometrical Complexity of Classification Problems

2004-02-11

arxiv.org/abs/cs/0402020v1

Computer Science

Computer Vision and Pattern Recognition

Proceedings of the 7th Course on Ensemble Methods for Learning Machines at the International School on Neural Nets ``E.R. Caia

Scientific paper

Despite encouraging recent progresses in ensemble approaches, classification methods seem to have reached a plateau in development. Further advances depend on a better understanding of geometrical and topological characteristics of point sets in high-dimensional spaces, the preservation of such characteristics under feature transformations and sampling processes, and their interaction with geometrical models used in classifiers. We discuss an attempt to measure such properties from data sets and relate them to classifier accuracies.

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