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Learning Dynamics in Memristor-Based Equilibrium Propagation

Michael Döll, Andreas Müller, Bernd Ulmann·December 13, 2025·DOI: 10.1080/17445760.2026.2616770
cs.LGEmerging TechNeural Computing

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Abstract

Memristor-based in-memory computing has emerged as a promising paradigm to overcome the constraints of the von Neumann bottleneck and the memory wall by enabling fully parallelisable and energy-efficient vector-matrix multiplications. We investigate the effect of nonlinear, memristor-driven weight updates on the convergence behaviour of neural networks trained with equilibrium propagation (EqProp). Six memristor models were characterised by their voltage-current hysteresis and integrated into the EBANA framework for evaluation on two benchmark classification tasks. EqProp can achieve robust convergence under nonlinear weight updates, provided that memristors exhibit a sufficiently wide resistance range of at least an order of magnitude.

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