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Information flow in layered networks of non-monotonic units

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Schittler Neves,  Fabio
Research Group Theoretical Neurophysics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Schittler Neves, F., Schubert, B. M., & Erichsen, R. (2015). Information flow in layered networks of non-monotonic units. Journal of Statistical Mechanics: Theory and Experiment, 2015(7): P07022. doi:10.1088/1742-5468/2015/07/P07022.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-D509-7
Abstract
Layered neural networks are feedforward structures that yield robust parallel and distributed pattern recognition. Even though much attention has been paid to pattern retrieval properties in such systems, many aspects of their dynamics are not yet well characterized or understood. In this work we study, at different temperatures, the memory activity and information flows through layered networks in which the elements are the simplest binary odd non-monotonic function. Our results show that, considering a standard Hebbian learning approach, the network information content has its maximum always at the monotonic limit, even though the maximum memory capacity can be found at non-monotonic values for small enough temperatures. Furthermore, we show that such systems exhibit rich macroscopic dynamics, including not only fixed point solutions of its iterative map, but also cyclic and chaotic attractors that also carry information.