Geometric diffusions for the analysis of data from sensor networks.


Journal Article (Review)

Harmonic analysis on manifolds and graphs has recently led to mathematical developments in the field of data analysis. The resulting new tools can be used to compress and analyze large and complex data sets, such as those derived from sensor networks or neuronal activity datasets, obtained in the laboratory or through computer modeling. The nature of the algorithms (based on diffusion maps and connectivity strengths on graphs) possesses a certain analogy with neural information processing, and has the potential to provide inspiration for modeling and understanding biological organization in perception and memory formation.

Full Text

Cited Authors

  • Coifman, RR; Maggioni, M; Zucker, SW; Kevrekidis, IG

Published Date

  • October 2005

Published In

Volume / Issue

  • 15 / 5

Start / End Page

  • 576 - 584

PubMed ID

  • 16150587

Pubmed Central ID

  • 16150587

Electronic International Standard Serial Number (EISSN)

  • 1873-6882

International Standard Serial Number (ISSN)

  • 0959-4388

Digital Object Identifier (DOI)

  • 10.1016/j.conb.2005.08.012


  • eng