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Variable Metric Splitting Methods for Neuromorphic Circuits Simulation

2025/04/09 by Amir Shahhosseini, Shahhosseini, Amir, Thomas Bürger +3
Computer Science · Engineering · #Advanced Memory and Neural Computing #FOS: Electrical engineering #Ferroelectric and Negative Capacitance Devices #Neural Networks Stability and Synchronization #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2504.06793

openalex publication_date 2025/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proposes a variable metric splitting algorithm to solve the electrical behavior of neuromorphic circuits made of capacitors, memristive elements, and batteries. The gradient property of the memristive elements is exploited to split the current to voltage operator as the sum of the derivative operator, a Riemannian gradient operator, and a nonlinear residual operator that is linearized at each step of the algorithm. The diagonal structure of the three operators makes the variable metric forward-backward splitting algorithm scalable and amenable to the simulation of large-scale neuromorphic circuits.

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