Titlebook: Research in Computational Topology 2; Ellen Gasparovic,Vanessa Robins,Katharine Turner Book 2022 The Editor(s) (if applicable) and The Aut

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Nerve Theorems for Fixed Points of Neural Networks,ve a feedforward architecture, their fixed point structure is indicative of feedforward dynamics. The combinatorial structure of the graph cover is captured by the . of the cover. The nerve is a smaller, simpler graph that is more amenable to graphical analysis. We present three nerve theorems that

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Book 2022ctional graph covers; topological or homotopical invariantsfor directed graphs encoding connections among a network of neurons; and the issue of approximation of objects by digital grids, including precise relations between the persistent homology of dual cubical complexes..

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Asilata Bapat,Robyn Brooks,Celia Hacker,Claudia Landi,Barbara I. Mahler