Memristor based neural networks: Feasibility, theories and approaches

Memristor-based neural networks refer to the utilisation of memristors, the newly emerged nanoscale devices, in building neural networks.

The memristor was first postulated by Leon Chua in 1971 as the fourth fundamental passive circuit element and experimentally validated by one of HP labs in 2008. Memristors, short for memory-resistor, have a peculiar memory effect which distinguishes them from resistors. By applying a bias voltage across it, the resistance of a memristor, namely memristance, is changed. In addition, the memristance is retained when the power supply is removed which demonstrates the non-volatility of the memristor.

Memristor-based neural networks are currently being researched in order to replace complementary metal-oxide-semiconductor (CMOS) devices in neuromorphic circuits with memristors and to investigate their potential applications. Current research primarily focuses on the utilisation of memristors as synaptic connections between neurons, however in any application it may be possible to allow memristors to perform computation in a natural way which attempts to avoid additional CMOS devices. Examples of such methods utilised in neural networks are presented in this thesis, such as memristor-based cellular neural network (CNN) structures, the memristive spiking-time dependent plasticity (STDP) model and the exploration of their potential applications.

This thesis presents manifold studies in the topic of memristor-based neural networks from theories and feasibility to approaches to implementations. Studies are divided into two parts which are the utilisation of memristors in non-spiking neural networks and spiking neural networks (SNNs). At the beginning of the thesis, fundamentals of neural networks and memristors are explored with the analysis of the physical properties and $v-i$ behaviour of memristors. In the studies of memristor-based non-spiking neural networks, a staircase memristor model is presented based on memristors which have multi-level resistive states and the delayed-switching effect. This model is adapted to CNNs and echo state networks (ESNs) as applications that benefit from memristive implementations. In the studies of memristor-based SNNs, a trace-based memristive STDP model is proposed and discussed to overcome the incompatibility issues of the previous model with all-to-all spike interaction. The work also presents applications of the trace-based memristive model in associative learning with retention loss and supervised learning.

The computational results of experiments with different applications have shown that memristor-based neural networks will be advantageous in building synchronous or asynchronous parallel neuromorphic systems. The work presents several new findings on memristor modelling, memristor-based neural network structures and memristor-based associative learning. These studies address unexplored research areas in the context of memristor-based neural networks to the best of our knowledge, and therefore form original contributions.