Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 72: Poster: Stoch. and Nonl. Dy., Modeling, Compl. Sys.

DY 72.11: Poster

Donnerstag, 15. März 2018, 15:30–18:00, Poster A

Magnetic Phenomena in Spiking Neural Networks — •Andreas Baumbach1, Mihai Petrovici1,2, Karlheinz Meier1, and Johannes Schemmel11Heidelberg University, Kirchhoff Institut for Physics, Heidelberg, Germany — 2University of Bern, Department of Physiology, Bern, Switzerland

Systems close to criticality are always of particular interest. The arguably simplest model known to exhibit critical phenomena is the Ising model for ferromagnetism. Recent work on spiking neural networks developed a description of these biologically inspired networks under poissonian noise input as a Boltzmann machine. As such a description is widely used in neuroscience to effectively describe biological models and data one would expect that all the phenomena known from statistical physics can also be observed in these systems.

This work investigates a simplified model, the Neuralsampling framework introduced by Buesing et al., which we modify to include exponentially decaying interactions (resembling biological interactions) in an Ising-like network. While the global properties, like the unordered phase in the infinite temperature limit and the ordered phase in the zero temperature limit, we show that the phase diagram of this model shows richer phenomena than the classical Ising model. For example it allows a system to pass through multiple phases, rather than only the unordered-ordered transition, while cooling down.

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