Operator-Splitting Methods for Neuromorphic Circuit Simulation

2025/05/28 by Amir Shahhosseini, Shahhosseini, Amir, Thomas Chaffey +3 · 1 citation
Engineering · Physics and Astronomy · #Advanced Memory and Neural Computing #FOS: Electrical engineering #Ferroelectric and Negative Capacitance Devices #Magnetic properties of thin films #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2505.22363

openalex publication_date 2025/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Variable Metric Splitting Methods for Neuromorphic Circuits Simulation
• Circuit analysis using monotone+skew splitting
• Spike-based local synaptic plasticity: A survey of computational models and neuromorphic circuits
• Spiking Control Systems
• Disciplined Convex-Concave Programming
• A Three-Operator Splitting Scheme and its Optimization Applications
• Neuromodulation of Brain States
• A quantitative description of membrane current and its application to conduction and excitation in nerve
• An Operator-Theoretic Framework to Simulate Neuromorphic Circuits

Cited by

• Circuit realization and hardware linearization of monotone operator equilibrium networks

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