The role of axonal synaptic delays in the efficacy and performance of
artificial neural networks has been largely unexplored. In step-based
analog-valued neural network models (ANNs), the concept is almost absent. In
their spiking neuroscience-inspired counterparts, there is hardly a systematic
account of their effects on model performance in terms of accuracy and number
of synaptic operations.This paper proposes a methodology for accounting for
axonal delays in the training loop of deep Spiking Neural Networks (SNNs),
intending to efficiently solve machine learning tasks on data with rich
temporal dependencies. We then conduct an empirical study of the effects of
axonal delays on model performance during inference for the Adding task, a
benchmark for sequential regression, and for the Spiking Heidelberg Digits
dataset (SHD), commonly used for evaluating event-driven models. Quantitative
results on the SHD show that SNNs incorporating axonal delays instead of
explicit recurrent synapses achieve state-of-the-art, over 90% test accuracy
while needing less than half trainable synapses. Additionally, we estimate the
required memory in terms of total parameters and energy consumption of
accomodating such delay-trained models on a modern neuromorphic accelerator.
These estimations are based on the number of synaptic operations and the
reference GF-22nm FDX CMOS technology. As a result, we demonstrate that a
reduced parameterization, which incorporates axonal delays, leads to
approximately 90% energy and memory reduction in digital hardware
implementations for a similar performance in the aforementioned task
