Resistor-diode circuits realize ReLU monotone operator equilibrium networks, and their exact gradient can be computed in the same hardware by linearizing the diodes.
Operator-Splitting Methods for Neuromorphic Circuit Simulation
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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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Circuit realization and hardware linearization of monotone operator equilibrium networks
Resistor-diode circuits realize ReLU monotone operator equilibrium networks, and their exact gradient can be computed in the same hardware by linearizing the diodes.