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Faster Neural Network Training with Approximate Tensor Operations

NeurIPS 2021 · Architectures and efficiency › RNNs and normalization · approach: Efficient network compression and training

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply top-k approximate tensor operationsWRN-28-10 · CIFAR-10training speedup: 1.33xHelped
Apply top-k approximate tensor operationsCNN · MNISTaccuracy: 99.35% -> 99.25%Hurt
Apply approximate tensor operationsMLP · MNISTaccuracy: 98.22% -> 98.22%No clear effect
Apply approximate tensor operationsWRN-28-10 · CIFAR-10accuracy: 96.17% -> 95.89%Hurt
Apply approximate tensor operationsResNet-50 · ImageNetaccuracy: 75.6% -> 75.63%No clear effect
Use top-k selection instead of CRS or Bernoulli-CRS (ablation)Approximate tensor operations · MNIST and CIFAR-10accuracyHelped
Approximate only the backward pass rather than consistently sampling forward and backward (ablation)WRN-28-10 · CIFAR-10accuracyHurt
Approximate only the backward pass (ablation)Small MNIST models · MNISTaccuracy: 10%No clear effect
Approximate only the forward pass and propagate gradients as if computation were exact (ablation)Deep neural networks · Not specifiedaccuracyHurt
Use top-k-weights sampling and communicate only sampled gradientsResNet-152 · ImageNet, 8 nodestraining speedup: 1.37xHelped

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