CDNA-SNN: A New Spiking Neural Network for Pattern Classification using Neuronal Assemblies

Spiking neural networks (SNNs) mimic their biological counterparts more closely than their predecessors and are considered the third generation of artificial neural networks. It has been proven that networks of spiking neurons have a higher computational capacity and lower power requirements than sigmoidal neural networks. This paper introduces a new type of spiking neural network that draws inspiration and incorporates concepts from neuronal assemblies in the human brain. The proposed network, termed as CDNA-SNN, assigns each neuron learnable values known as Class-Dependent Neuronal Activations (CDNAs) which indicate the neuron’s average relative spiking activity in response to samples from different classes. A new learning algorithm that categorizes the neurons into different class assemblies based on their CDNAs is also presented. These neuronal assemblies are trained via a novel training method based on Spike-Timing Dependent Plasticity (STDP) to have high activity for their associated class and low firing rate for other classes. Also, using CDNAs, a new type of STDP that controls the amount of plasticity based on the assemblies of pre- and post-synaptic neurons is proposed. The performance of CDNA-SNN is evaluated on five datasets from the UCI machine learning repository, as well as MNIST and Fashion MNIST, using nested cross-validation for hyperparameter optimization. Our results show that CDNA-SNN significantly outperforms SWAT (p<0.0005) and SpikeProp (p<0.05) on 3/5 and SRESN (p<0.05) on 2/5 UCI datasets while using the significantly lower number of trainable parameters. Furthermore, compared to other supervised, fully connected SNNs, the proposed SNN reaches the best performance for Fashion MNIST and comparable performance for MNIST and N-MNIST, also utilizing much less (1-35%) parameters

Spike-Based Classification of UCI Datasets with Multi-Layer Resume-Like Tempotron

Spiking neurons are a class of neuron models that represent information in timed sequences called ``spikes.\u27\u27 Though predominantly used in neuro-scientific investigations, spiking neural networks (SNN) can be applied to machine learning problems such as classification and regression. SNN are computationally more powerful per neuron than traditional neural networks. Though training time is slow on general purpose computers, spike-based hardware implementations are faster and have shown capability for ultra-low power consumption. Additionally, various SNN training algorithms have achieved comparable performance with the State of the Art on the Fisher Iris dataset. Our main contribution is a software implementation of the multilayer ReSuMe algorithm using the Tempotron principle. The XOR problem is solved in only 13.73 epochs on average. However, training time on four different UCI datasets is slow, and, although decent performance is seen, in most respects the accuracy of our SNN underperforms compared to other SNN, SVM, and ANN experiments. Additionally, our results on the UCI dataset are only preliminary, necessitating further tuning

Backpropagation for Continuous Theta Neuron Networks

The Theta neuron model is a spiking neuron model which, unlike traditional Leaky-Integrate-and-Fire neurons, can model spike latencies, threshold adaptation, bistability of resting and tonic firing states, and more. Previous work on learning rules for networks of theta neurons includes the derivation of a spike-timing based backpropagation algorithm for multilayer feedforward networks. However, this learning rule is only applicable to a fixed number of spikes per neuron, and is unable to take into account the effects of synaptic dynamics. In this thesis a novel backpropagation learning rule for theta neuron networks is derived which incorporates synaptic dynamics, is applicable to changing numbers of spikes per neuron, and does not explicitly depend on spike-timing. The learning rule is successfully applied to XOR, cosine and sinc function mappings, and comparisons between other learning rules for spiking neural networks are made. The algorithm achieves 97.8 percent training performance and 96.7 percent test performance on the Fischer-Iris dataset, which is comparable to other spiking neural network learning rules. The algorithm also achieves 99.0 percent training performance and 99.14 percent test performance on the Wisconsin Breast Cancer dataset, which is better than the compared spiking neural network learning rules

Surrogate Gradient Learning in Spiking Neural Networks

Spiking neural networks are nature's versatile solution to fault-tolerant and energy efficient signal processing. To translate these benefits into hardware, a growing number of neuromorphic spiking neural network processors attempt to emulate biological neural networks. These developments have created an imminent need for methods and tools to enable such systems to solve real-world signal processing problems. Like conventional neural networks, spiking neural networks can be trained on real, domain specific data. However, their training requires overcoming a number of challenges linked to their binary and dynamical nature. This article elucidates step-by-step the problems typically encountered when training spiking neural networks, and guides the reader through the key concepts of synaptic plasticity and data-driven learning in the spiking setting. To that end, it gives an overview of existing approaches and provides an introduction to surrogate gradient methods, specifically, as a particularly flexible and efficient method to overcome the aforementioned challenges

Training Spiking Neural Networks Using Lessons From Deep Learning

The brain is the perfect place to look for inspiration to develop more efficient neural networks. The inner workings of our synapses and neurons provide a glimpse at what the future of deep learning might look like. This paper serves as a tutorial and perspective showing how to apply the lessons learnt from several decades of research in deep learning, gradient descent, backpropagation and neuroscience to biologically plausible spiking neural neural networks. We also explore the delicate interplay between encoding data as spikes and the learning process; the challenges and solutions of applying gradient-based learning to spiking neural networks; the subtle link between temporal backpropagation and spike timing dependent plasticity, and how deep learning might move towards biologically plausible online learning. Some ideas are well accepted and commonly used amongst the neuromorphic engineering community, while others are presented or justified for the first time here. A series of companion interactive tutorials complementary to this paper using our Python package, snnTorch, are also made available: https://snntorch.readthedocs.io/en/latest/tutorials/index.htm

Inference And Learning In Spiking Neural Networks For Neuromorphic Systems

Neuromorphic computing is a computing field that takes inspiration from the biological and physical characteristics of the neocortex system to motivate a new paradigm of highly parallel and distributed computing to take on the demands of the ever-increasing scale and computational complexity of machine intelligence esp. in energy-limited systems such as Edge devices, Internet-of-Things (IOT), and cyber physical systems (CPS). Spiking neural network (SNN) is often studied together with neuromorphic computing as the underlying computational model . Similar to the biological neural system, SNN is an inherently dynamic and stateful network. The state and output of SNN do not only dependent on the current input, but also dependent on the history information. Another distinct property of SNN is that the information is represented, transmitted, and processed as discrete spike events, also referred to as action potentials. All the processing happens in the neurons such that the computation itself is massively distributed and parallel. This enables low power information transmission and processing. However, it is inefficient to implement SNNs on traditional Von Neumann architecture due to the performance gap between memory and processor. This has led to the advent of energy-efficient large-scale neuromorphic hardware such as IBM\u27s TrueNorth and Intel\u27s Loihi that enables low power implementation of large-scale neural networks for real-time applications. And although spiking networks have theoretically been shown to have Turing-equivalent computing power, it remains a challenge to train deep SNNs; the threshold functions that generate spikes are discontinuous, so they do not have derivatives and cannot directly utilize gradient-based optimization algorithms for training. Biologically plausible learning mechanism spike-timing-dependent plasticity (STDP) and its variants are local in synapses and time but are unstable during training and difficult to train multi-layer SNNs. To better exploit the energy-saving features such as spike domain representation and stochastic computing provided by SNNs in neuromorphic hardware, and to address the hardware limitations such as limited data precision and neuron fan-in/fan-out constraints, it is necessary to re-design a neural network including its structure and computing. Our work focuses on low-level (activations, weights) and high-level (alternative learning algorithms) redesign techniques to enable inference and learning with SNNs in neuromorphic hardware. First, we focused on transforming a trained artificial neural network (ANN) to a form that is suitable for neuromorphic hardware implementation. Here, we tackle transforming Long Short-Term Memory (LSTM), a version of recurrent neural network (RNN) which includes recurrent connectivity to enable learning long temporal patterns. This is specifically a difficult challenge due to the inherent nature of RNNs and SNNs; the recurrent connectivity in RNNs induces temporal dynamics which require synchronicity, especially with the added complexity of LSTMs; and SNNs are asynchronous in nature. In addition, the constraints of the neuromorphic hardware provided a massive challenge for this realization. Thus, in this work, we invented a store-and-release circuit using integrate-and-fire neurons which allows the synchronization and then developed modules using that circuit to replicate various parts of the LSTM. These modules enabled implementation of LSTMs with spiking neurons on IBM’s TrueNorth Neurosynaptic processor. This is the first work to realize such LSTM networks utilizing spiking neurons and implement on a neuromorphic hardware. This opens avenues for the use of neuromorphic hardware in applications involving temporal patterns. Moving from mapping a pretrained ANN, we work on training networks on the neuromorphic hardware. Here, we first looked at the biologically plausible learning algorithm called STDP which is a Hebbian learning rule for learning without supervision. Simplified computational interpretations of STDP is either unstable and/or complex such that it is costly to implement on hardware. Thus, in this work, we proposed a stable version of STDP and applied intentional approximations for low-cost hardware implementation called Quantized 2-Power Shift (Q2PS) rule. With this version, we performed both unsupervised learning for feature extraction and supervised learning for classification in a multilayer SNN to achieve comparable to better accuracy on MNIST dataset compared to manually labelled two-layered networks. Next, we approached training multilayer SNNs on a neuromorphic hardware with backpropagation, a gradient-based optimization algorithm that forms the backbone of deep neural networks (DNN). Although STDP is biologically plausible, its not as robust for learning deep networks as backpropagation is for DNNs. However, backpropagation is not biologically plausible and not suitable to be directly applied to SNNs, neither can it be implemented on a neuromorphic hardware. Thus, in the first part of this work, we devise a set of approximations to transform backprogation to the spike domain such that it is suitable for SNNs. After the set of approximations, we adapted the connectivity and weight update rule in backpropagation to enable learning solely based on the locally available information such that it resembled a rate-based STDP algorithm. We called this Error-Modulated STDP (EMSTDP). In the next part of this work, we implemented EMSTDP on Intel\u27s Loihi neuromorphic chip to realize online in-hardware supervised learning of deep SNNs. This is the first realization of a fully spike-based approximation of backpropagation algorithm implemented on a neuromorphic processor. This is the first step towards building an autonomous machine that learns continuously from its environment and experiences