Pullback incremental attraction

Double - Pullback Transitions

The aim of this paper is an extension of the theory of graph transformation systems in order to make them suitable for the speciication of reactive systems. For this purpose two main extensions of the algebraic theory of graph transformations are proposed. Firstly, graph transitions are introduced as a loose interpretation of graph productions, deened using a double pullback construction in con...

Learning pullback HMM manifolds

Recent work in action recognition has exposed the limitations of methods which directly classify local features extracted from spatio-temporal video volumes. In opposition, encoding the actions’ dynamics via generative dynamical models has a number of desirable features when it comes to unsupervised learning of plots, crowd monitoring, and description of more complex activities. However, using ...

Net Refinement by Pullback Rewriting

The notion of pullback rewriting has been developed recently as a category theoretical framework for vertex replacement in graphs. Here, the technique is presented based on net morphisms, yielding a well-deened mechanism which is closely related to pullback rewriting in hypergraphs. Finally, a net reenement operation modifying the context of the reened transition is characterized in terms of pu...

Boundary Values of the Thurston Pullback Map

For any Thurston map with exactly four postcritical points, we present an algorithm to compute the Weil-Petersson boundary values of the corresponding Thurston pullback map. This procedure is carried out for the Thurston map f(z) = 3z 2 2z3+1 originally studied by Buff, et al. The dynamics of this boundary map are investigated and used to solve the analogue of Hubbard’s Twisted Rabbit problem f...

The Pullback Equation for Differential Forms