Optimizing Recurrent Spiking Neural Networks with Small Time Constants for Temporal Tasks

Yuan Zeng, Edward Jeffs, T. Stewart, Y. Berdichevsky, Xiaochen Guo
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Abstract

Recurrent spiking neural network (RSNN) is a frequently studied model to understand biological neural networks, as well as to develop energy efficient neuromorphic systems. Deep learning optimization approach, such as backpropogation through time (BPTT), equipped with surrogate gradient, can be used as an efficient optimization method for RSNN. Including dynamic properties of biological neurons into the neuron model may improve the network’s temporal learning capability. Earlier work only considers the spike frequency adaptation behavior with a large adaptation time constant that may be unsuitable for neuromorphic implementation. Besides adaptation, synapse is also an important structure for information transfer between neurons and its dynamics may influence network performance. In this work, a Leaky Integrate and Fire neuron model with dynamic synapses and spike frequency adaptation is used for temporal tasks. A step-by-step experiment is designed to understand the impact of recurrent connections, synapse model, and adaptation model on the network accuracy. For each step, a hyper-parameters tuning tool is used to find the best set of neuron parameters. In addition, the influence of the synapse and adaptation time constants is studied. Results suggest that, dynamic synapse is more efficient than adaptation in improving the network’s learning capability. When incorporating adaptation and synapse model together, the network can achieve a similar accuracy as the sate-of-the-art RSNN works while requiring fewer neurons and smaller time constants.
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面向时间任务的小时间常数循环脉冲神经网络优化
循环尖峰神经网络(RSNN)是研究生物神经网络以及开发高效能神经形态系统的常用模型。深度学习优化方法,如随时间反向传播(BPTT),配备代理梯度,可以作为一种有效的RSNN优化方法。在神经元模型中加入生物神经元的动态特性可以提高网络的时间学习能力。早期的研究只考虑了具有较大适应时间常数的尖峰频率适应行为,可能不适合神经形态的实现。除了自适应外,突触也是神经元之间信息传递的重要结构,其动态影响着网络的性能。在这项工作中,一个具有动态突触和脉冲频率适应的漏积分和放电神经元模型被用于时间任务。我们设计了一个循序渐进的实验来了解循环连接、突触模型和自适应模型对网络准确性的影响。对于每一步,使用超参数调优工具来找到最佳的神经元参数集。此外,还研究了突触和适应时间常数的影响。结果表明,动态突触比自适应更能有效地提高神经网络的学习能力。当将自适应和突触模型结合在一起时,网络可以达到与最先进的RSNN相似的精度,同时需要更少的神经元和更小的时间常数。
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