An exact mapping from ReLU networks to spiking neural networks.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

Deep spiking neural networks (SNNs) offer the promise of low-power artificial intelligence. However, training deep SNNs from scratch or converting deep artificial neural networks to SNNs without loss of performance has been a challenge. Here we propose an exact mapping from a network with Rectified Linear Units (ReLUs) to an SNN that fires exactly one spike per neuron. For our constructive proof, we assume that an arbitrary multi-layer ReLU network with or without convolutional layers, batch normalization and max pooling layers was trained to high performance on some training set. Furthermore, we assume that we have access to a representative example of input data used during training and to the exact parameters (weights and biases) of the trained ReLU network. The mapping from deep ReLU networks to SNNs causes zero percent drop in accuracy on CIFAR10, CIFAR100 and the ImageNet-like data sets Places365 and PASS. More generally our work shows that an arbitrary deep ReLU network can be replaced by an energy-efficient single-spike neural network without any loss of performance.

Authors

  • Ana Stanojevic
    IBM Research Europe - Zurich, Rüschlikon, Switzerland; École polytechnique fédérale de Lausanne, School of Life Sciences and School of Computer and Communication Sciences, Lausanne EPFL, Switzerland. Electronic address: ans@zurich.ibm.com.
  • Stanisław Woźniak
    IBM Research - Zurich, Rüschlikon, Switzerland.
  • Guillaume Bellec
    École polytechnique fédérale de Lausanne, School of Life Sciences and School of Computer and Communication Sciences, Lausanne EPFL, Switzerland.
  • Giovanni Cherubini
    IBM Research - Zurich, Säumerstrasse 4, 8803, Rüschlikon, Switzerland.
  • Angeliki Pantazi
    IBM Research - Zurich, Rüschlikon, Switzerland.
  • Wulfram Gerstner
    School of Computer and Communication Sciences and Brain Mind Institute, School of Life Sciences, École Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland wulfram.gerstner@epfl.ch.