Reproduce “UltraLIF: Fully Differentiable Spiking Neural Networks via Ultradiscretization and Max-Plus Algebra” on OpenResearch

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About this paper

Jose Marie Antonio Miñoza

A framework called UltraLIF creates fully differentiable Spiking Neural Networks using ultradiscretization and max-plus algebra, eliminating the forward-backward mismatch in SNN training. This approach yielded notable accuracy improvements, such as an 11.22% gain on the SHD dataset and a 7.96% increase on DVS-Gesture for single-timestep tasks, alongside flexible energy efficiency management.

Key insights

  • The framework establishes a pioneering link between SNN dynamics and tropical algebraic geometry, offering a mathematically principled and consistent approach to SNN differentiability.
  • Employing identical smooth functions (LSE and soft sigmoid) for both forward and backward passes resolves the fundamental forward-backward mismatch of surrogate gradient methods, enabling more stable gradient-based optimization.
  • A learnable temperature parameter "," in the LSE and sigmoid functions facilitates automatic curriculum learning, allowing the model to adapt its activation sharpness during training for optimal performance.

Summary by alphaXiv.

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