4 papers
Operator-Splitting Methods for Neuromorphic Circuit Simulation
Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre
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 be…
A memristive model of spatio-temporal excitability
Thomas SJ Burger, Amir Shahhosseini, Rodolphe Sepulchre
This paper introduces a model of excitability that unifies the mechanism of an important neuronal property both in time and in space. As a starting point, we revisit both a key mod…
Variable Metric Splitting Methods for Neuromorphic Circuits Simulation
Amir Shahhosseini, Thomas Burger, Rodolphe Sepulchre
This paper proposes a variable metric splitting algorithm to solve the electrical behavior of neuromorphic circuits made of capacitors, memristive elements, and batteries. The grad…
An Operator-Theoretic Framework to Simulate Neuromorphic Circuits
Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre
Splitting algorithms are well-established in convex optimization and are designed to solve large-scale problems. Using such algorithms to simulate the behavior of nonlinear circuit…