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BP-STDP: Approximating Backpropagation using Spike Timing Dependent Plasticity (1711.04214v2)

Published 12 Nov 2017 in cs.NE

Abstract: The problem of training spiking neural networks (SNNs) is a necessary precondition to understanding computations within the brain, a field still in its infancy. Previous work has shown that supervised learning in multi-layer SNNs enables bio-inspired networks to recognize patterns of stimuli through hierarchical feature acquisition. Although gradient descent has shown impressive performance in multi-layer (and deep) SNNs, it is generally not considered biologically plausible and is also computationally expensive. This paper proposes a novel supervised learning approach based on an event-based spike-timing-dependent plasticity (STDP) rule embedded in a network of integrate-and-fire (IF) neurons. The proposed temporally local learning rule follows the backpropagation weight change updates applied at each time step. This approach enjoys benefits of both accurate gradient descent and temporally local, efficient STDP. Thus, this method is able to address some open questions regarding accurate and efficient computations that occur in the brain. The experimental results on the XOR problem, the Iris data, and the MNIST dataset demonstrate that the proposed SNN performs as successfully as the traditional NNs. Our approach also compares favorably with the state-of-the-art multi-layer SNNs.

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Authors (2)
  1. Amirhossein Tavanaei (9 papers)
  2. Anthony S. Maida (19 papers)
Citations (183)

Summary

Overview of BP-STDP: Approximating Backpropagation using Spike Timing Dependent Plasticity

The paper "BP-STDP: Approximating Backpropagation using Spike Timing Dependent Plasticity" by Amirhossein Tavanaei and Anthony Maida introduces an innovative supervised learning approach for training spiking neural networks (SNNs). It tackles a foundational problem in neuroscience and artificial intelligence: mimicking the learning processes of the brain using spiking models. The proposed method combines spike-timing-dependent plasticity (STDP) with backpropagation-inspired learning in networks consisting of integrate-and-fire (IF) neurons. This hybrid approach aims to reconcile the biological plausibility of STDP with the computational efficiency and accuracy associated with gradient descent.

Methodological Insights

The paper argues for a novel alignment between IF neurons and rectified linear units (ReLU) that ensures mathematical consistency between spiking and non-spiking paradigms. This relationship is leveraged to adapt gradient descent techniques into a more biologically plausible context.

Key to their method is the temporal locality of learning, achieved by implementing a modified STDP rule. This rule stands out for its ability to apply continuous backpropagation-derived weight adjustments in a temporally discrete setting typical of neural activity. It marks a significant shift from traditional GD as it utilizes spike-based communication, ensuring that learning processes adhere more closely to natural brain functions.

A central component is the development of a supervised learning framework in a multi-layer SNN. Here, hidden and output layers of neurons are trained using a combination of STDP and its converse, anti-STDP, driven by teacher signals to selectively enhance (long-term potentiation) or diminish (long-term depression) synaptic weights.

Results and Comparisons

The authors evaluate their model on typical AI benchmark tasks, including the XOR problem, the Iris dataset, and the MNIST digit classification task. The results affirm that the BP-STDP method achieves performance parity with traditional neural networks. Specifically:

  • For the XOR problem, BP-STDP successfully solves the challenge of non-linear separability.
  • On the Iris dataset, BP-STDP matches the classification accuracy of conventional neural networks and shows favorable comparisons against various spiking and non-spiking methods.
  • On the MNIST dataset, BP-STDP attains a considerable accuracy of 97.2%, demonstrating its viability on complex, large-scale pattern recognition tasks.

Theoretical and Practical Implications

The implications of BP-STDP are profound, both theoretically and practically. Theoretically, it introduces a novel path for integrating biologically plausible learning mechanisms with historically successful machine learning techniques. By doing so, it opens up new avenues for future research into biologically informed models of cognition, potentially aiding our understanding of brain computations.

Practically, the developed frameworks promise more computationally efficient and neurobiologically faithful AI systems. They offer potentially performance-competitive alternatives to standard machine learning techniques, particularly in areas where power efficiency and biological authenticity are priorities, such as neuromorphic computing.

Speculation on Future Developments

Given the success of BP-STDP in initial evaluations, future research could expand the depth of SNNs to tackle even more complex problems. This could involve incorporating additional regularization methods to improve generalization in deep networks. Furthermore, the application of the BP-STDP learning approach in dynamic, real-time settings may yield insights beneficial for developing autonomous systems that can adaptively respond to environmental stimuli.

In summary, while the challenge of fully aligning biologically plausible learning mechanisms with current AI needs remains extensive, the advancements presented in this research provide a promising trajectory. It stands as a noteworthy contribution to both the fields of computational neuroscience and machine learning, suggesting a synergetic approach to understanding and replicating the brain's computational prowess.