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Smooth Exact Gradient Descent Learning in Spiking Neural Networks.

Christian Klos1, Raoul-Martin Memmesheimer1

  • 1University of Bonn, Neural Network Dynamics and Computation, Institute of Genetics, 53115 Bonn, Germany.

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|February 6, 2025
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Summary
This summary is machine-generated.

We introduce a novel gradient descent method for training spiking neural networks, enabling precise control over spike generation and removal. This approach overcomes previous limitations, allowing for effective learning in complex network architectures.

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Area of Science:

  • Computational Neuroscience
  • Artificial Intelligence
  • Machine Learning

Background:

  • Gradient descent is a standard training algorithm for artificial neural networks.
  • Spiking neural networks (SNNs) present unique training challenges due to the discrete nature of spikes.
  • Existing methods struggle with the abrupt changes in spike activity caused by small parameter adjustments in SNNs.

Purpose of the Study:

  • To develop an exact gradient descent method applicable to spiking neural networks.
  • To enable gradient-based control over spike addition and removal during training.
  • To demonstrate the efficacy of the proposed method across diverse network configurations.

Main Methods:

  • Introduced neuron models with continuously changing spiking dynamics.
  • Ensured spikes vanish at trial end, preventing influence on subsequent dynamics.
  • Implemented gradient-based spike addition and removal mechanisms.

Main Results:

  • Successfully demonstrated exact gradient descent for spiking neural networks.
  • Showcased the ability to precisely control spike generation and disappearance.
  • Validated the method on various tasks and network architectures, including recurrent and deep, initially silent networks.

Conclusions:

  • The proposed method overcomes the limitations of traditional gradient descent in SNNs.
  • Enables effective training of complex spiking neural networks.
  • Opens new avenues for biologically plausible and efficient neural network training.