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Logarithmic Floating-Point Multipliers for Efficient Neural Network Training

  • Tingting Zhang,
  • Zijing Niu,
  • Honglan Jiang,
  • Bruce F. Cockburn,
  • Leibo Liu,
  • Jie Han

摘要

Floating-point (FP) arithmetic computation is favored for training neural networks (NNs) due to its wide numerical range. The computation-intensive training process requires a tremendous amount of multiplication, which poses a challenge to deploying NN architectures on resource-constrained devices. This chapter presents hardware-efficient logarithmic FP multipliers (LFPMs) for NN training. By using piecewise approximations in different configurations over the applicable domains of the logarithm and anti-logarithm functions, we obtain LFPMs with various characteristics in accuracy and hardware. The benchmark NN applications are considered for evaluation.