— We propose to classify the behaviors of a mobile robot thanks to topological methods as an alternative to metric ones. To do so, we adapt an analysis scheme from Physics of non...
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
We study the problem of discovering a manifold that best preserves information relevant to a nonlinear regression. Solving this problem involves extending and uniting two threads ...
We propose an algorithm for contouring k-manifolds (k = 1, 2) embedded in an arbitrary n-dimensional space. We assume (n−k) geometric constraints are represented as polynomial e...
Abstract— Feedback control laws are predominantly implemented on digital platforms as periodic tasks. Although periodicity simplifies the analysis and design of the implementati...