@misc{DerschPerezBoschQuesadaPerezetal., author = {Dersch, Nadine and Perez-Bosch Quesada, Emilio and Perez, Eduardo and Wenger, Christian and Roemer, Christian and Schwarz, Mike and Kloes, Alexander}, title = {Efficient circuit simulation of a memristive crossbar array with synaptic weight variability}, series = {Solid State Electronics}, volume = {209}, journal = {Solid State Electronics}, issn = {0038-1101}, doi = {10.1016/j.sse.2023.108760}, abstract = {In this paper, we present a method for highly-efficient circuit simulation of a hardware-based artificial neural network realized in a memristive crossbar array. The statistical variability of the devices is considered by a noise-based simulation technique. For the simulation of a crossbar array with 8 synaptic weights in Cadence Virtuoso the new approach shows a more than 200x speed improvement compared to a Monte Carlo approach, yielding the same results. In addition, first results of an ANN with more than 15,000 memristive devices classifying test data of the MNIST dataset are shown, for which the speed improvement is expected to be several orders of magnitude. Furthermore, the influence on the classification of parasitic resistances of the connection lines in the crossbar is shown.}, language = {en} } @misc{BogunPerezBoschQuesadaPerezetal., author = {Bogun, Nicolas and Perez-Bosch Quesada, Emilio and Perez, Eduardo and Wenger, Christian and Kloes, Alexander and Schwarz, Mike}, title = {Analytical Calculation of Inference in Memristor-based Stochastic Artificial Neural Networks}, series = {29th International Conference on Mixed Design of Integrated Circuits and System (MIXDES), 23-24 June 2022 , Wrocław, Poland}, journal = {29th International Conference on Mixed Design of Integrated Circuits and System (MIXDES), 23-24 June 2022 , Wrocław, Poland}, isbn = {978-83-63578-22-0}, doi = {10.23919/MIXDES55591.2022.9838321}, pages = {83 -- 88}, abstract = {The impact of artificial intelligence on human life has increased significantly in recent years. However, as the complexity of problems rose aswell, increasing system features for such amount of data computation became troublesome due to the von Neumann's computer architecture. Neuromorphic computing aims to solve this problem by mimicking the parallel computation of a human brain. For this approach, memristive devices are used to emulate the synapses of a human brain. Yet, common simulations of hardware based networks require time consuming Monte-Carlo simulations to take into account the stochastic switching of memristive devices. This work presents an alternative concept making use of the convolution of the probability distribution functions (PDF) of memristor currents by its equivalent multiplication in Fourier domain. An artificial neural network is accordingly implemented to perform the inference stage with handwritten digits.}, language = {en} }