The Manifold Scattering Transform for High-Dimensional Point Cloud Data

Published in ICML Workshop on Topology, Algebra, and Geometry in Machine Learning, 2022

Recommended citation: Chew, J.A.; Steach, H.R.; Viswanath, S.; Wu, H.-T.; Hirn, M.; Needell, D.; Krishnaswamy, S.; Perlmutter, M. The Manifold Scattering Transform for High-Dimensional Point Cloud Data. arXiv preprint, 2022. Online access

We present a practical scheme for implementing the manifold scattering transform for point cloud data. We show that this implementation successfully performs signal classification and manifold classification using signals on a sphere, scans of human bodies, and single-cell protein measurement data.