Multi-Scale Local Shape Analysis and Feature Selection in Machine Learning Applications
Computational Geometry
2014-10-14 v1 Machine Learning
Algebraic Topology
Machine Learning
Abstract
We introduce a method called multi-scale local shape analysis, or MLSA, for extracting features that describe the local structure of points within a dataset. The method uses both geometric and topological features at multiple levels of granularity to capture diverse types of local information for subsequent machine learning algorithms operating on the dataset. Using synthetic and real dataset examples, we demonstrate significant performance improvement of classification algorithms constructed for these datasets with correspondingly augmented features.
Cite
@article{arxiv.1410.3169,
title = {Multi-Scale Local Shape Analysis and Feature Selection in Machine Learning Applications},
author = {Paul Bendich and Ellen Gasparovic and John Harer and Rauf Izmailov and Linda Ness},
journal= {arXiv preprint arXiv:1410.3169},
year = {2014}
}
Comments
15 pages, 6 figures, 8 tables