AUTHOR=Zoppo Gianluca , Marrone Francesco , Corinto Fernando TITLE=Equilibrium Propagation for Memristor-Based Recurrent Neural Networks JOURNAL=Frontiers in Neuroscience VOLUME=Volume 14 - 2020 YEAR=2020 URL=https://www.frontiersin.org/journals/neuroscience/articles/10.3389/fnins.2020.00240 DOI=10.3389/fnins.2020.00240 ISSN=1662-453X ABSTRACT=Among the recent innovative technologies, memristor (memory-resistor) has attracted 4 researchers’ attention as a fundamental computation element. It has been experimentally shown 5 that memristive elements can emulate synaptic dynamics and are even capable of supporting 6 spike timing dependent plasticity (STDP), an important adaptation rule that is gaining particular 7 interest because of its simplicity and biological plausibility. The overall goal of this work is to 8 provide a novel (theoretical) analogue computing platform based on memristor devices and 9 recurrent neural networks that exploits the memristor device physics to implement two variations 10 of the backpropagation algorithm: recurrent backpropagation and equilibrium propagation. In 11 the first learning technique, the use of memristor–based synaptic weights permits to propagate 12 the error signals in the network by means of the nonlinear dynamics via an analog side network. 13 This makes the processing non-digital and different from the current procedures. However, the 14 necessity of a side analog network for the propagation of error derivatives makes this technique 15 still highly biologically implausible. In order to solve this limitation, it is therefore proposed 16 an alternative solution to the use of a side network by introducing a learning technique used 17 for energy-based models: equilibrium propagation. Experimental results show that both the 18 approaches significantly outperform conventional architectures used for pattern reconstruction. 19 Furthermore, due to the high suitability for VLSI implementation of the equilibrium propagation 20 learning rule, additional results on the classification of the MNIST dataset are here reported.