Maximal Sections of Sheaves of Data over an Abstract Simplicial Complex

Understand

We employ techniques from topological data analysis to model sensor networks.

• Our approach to sensor integration uses the topological method of sheaves over cell complexes.
• The internal consistency of data from individual sensors is determined by a set of consistency functions assigned to elements of the complex.
• Using these functions we determine, for any collection of data, the unique set of maximal sections of consistent data received from the sensors.