We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
— To approximate complex data, we propose new type of low-dimensional “principal object”: principal cubic complex. This complex is a generalization of linear and nonlinear pr...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...
Although recent research has shown that the complexity of a network depends on its structural organization, which is linked to the functional constraints the network must satisfy, ...
Abstract. Cellular Automata can be considered discrete dynamical systems and at the same time a model of parallel computation. In this paper we investigate the connections between ...
We investigate the "deep structure" of a scale-space image. The emphasis is on topology, i.e. we concentrate on critical points--pointswith vanishing gradient--and top-p...