Operator-Splitting Methods for Neuromorphic Circuit Simulation

Amir Shahhosseini; Thomas Chaffey; Rodolphe Sepulchre

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arXiv · 2505.22363

Operator-Splitting Methods for Neuromorphic Circuit Simulation

Amir Shahhosseini·Thomas Chaffey·Rodolphe Sepulchre

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Abstract

A novel splitting algorithm is proposed for the numerical simulation of neuromorphic circuits. The algorithm is grounded in the operator-theoretic concept of monotonicity, which bears both physical and algorithmic significance. The splitting exploits this correspondence to translate the circuit architecture into the algorithmic architecture. The paper illustrates the many advantages of the proposed operator-theoretic framework over conventional numerical integration for the simulation of multiscale hierarchical events that characterize neuromorphic behaviors.

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Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre. 2025-05-28. Operator-Splitting Methods for Neuromorphic Circuit Simulation. https://arxiv.org/abs/2505.22363

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