Geometric diffusions for the analysis of data from sensor networks |
| |
Authors: | Coifman Ronald R Maggioni Mauro Zucker Steven W Kevrekidis Ioannis G |
| |
Institution: | Program of Applied Mathematics, Department of Mathematics, Yale University, 10 Hillhouse Avenue, New Haven, CT 06520, USA. coifman@math.yale.edu |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 ScienceDirect PubMed 等数据库收录! |
|