We have adapted backpropagation algorithm for training multilayer perceptron classifier implemented with memristive crossbar circuits. The proposed training approach takes into account switching dynamics of a particular, though very typical, type of memristive devices and weight update restrictions imposed by crossbar topology. The simulation results show that for crossbar-based multilayer perceptron with one hidden layer of 300 neurons misclassification rate on MNIST benchmark could be as low as 1.47% and 4.06% for batch and stochastic algorithms, respectively, which is comparable to the best reported results for similar neural networks.
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Kataeva et al. (2015) studied this question.
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