1 code implementation • 4 Nov 2019 • Jared Culbertson, Paul Gustafson, Daniel E. Koditschek, Peter F. Stiller
To model sequential composition, we introduce "directed hybrid systems," each of which flows from an initial subsystem to a final subsystem in a Conley-theoretic sense.
Category Theory Robotics Dynamical Systems 18D05, 93C30, 37C70, 68T40
no code implementations • 8 Sep 2016 • Jared Culbertson, Dan P. Guralnik, Peter F. Stiller
Those three are the overlapping clustering of Jardine and Sibson, the functorial approach of Carlsson and M\'{e}moli to partition-based clustering, and the Isbell/Dress school's study of injective envelopes.
no code implementations • 15 Aug 2016 • Jared Culbertson, Dan P. Guralnik, Jakob Hansen, Peter F. Stiller
We examine overlapping clustering schemes with functorial constraints, in the spirit of Carlsson--Memoli.