Recently, feature maps have been applied to various problem domains.The success of some of these applications critically depends on whether feature maps are topologically ordered. ...
By definition, transverse intersections are stable under infinitesimal perturbations. Using persistent homology, we extend this notion to a measure. Given a space of perturbatio...
Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Pat...
The neural representation of space in rats has inspired many navigation systems for robots. In particular, Self-Organizing (Feature) Maps (SOM) are often used to give a sense of lo...
Active probes of network performance represent samples of the underlying performance of a system. Some effort has gone into considering appropriate sampling patterns for such probe...
Abstract-- Recent research on multi-agent systems has produced a plethora of decentralized controllers that implicitly assume various degrees of agent localization. However, many p...