The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
Training recurrent neural networks is hard. Recently it has however been discovered that it is possible to just construct a random recurrent topology, and only train a single linea...
Benjamin Schrauwen, David Verstraeten, Jan M. Van ...
The coverage problem is of great interest for many sensor network applications, for example, detection of intruders in the sensor field. Topological changes in sensor networks ma...
Abstract. Cellular automata have been mainly studied for on very regular graphs carrying the cells (like lines or grids) and under synchronous dynamics (all cells update simultaneo...
Jean-Baptiste Rouquier, Damien Regnault, Eric Thie...
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...