Discrete Langevin machine: Bridging the gap between thermodynamic and neuromorphic systems.

Kades, Lukas; Pawlowski, Jan M · Phys Rev E · 2020

basic_science · Level V

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Abstract

A formulation of Langevin dynamics for discrete systems is derived as a class of generic stochastic processes. The dynamics simplify for a two-state system and suggest a network architecture which is implemented by the Langevin machine. The Langevin machine represents a promising approach to compute successfully quantitative exact results of Boltzmann distributed systems by LIF neurons. Besides a detailed introduction of the dynamics, different simplified models of a neuromorphic hardware system are studied with respect to a control of emerging sources of errors.