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Research map / Architectures and efficiency / RNNs and normalization

StrassenNets: Deep Learning with a Multiplication Budget

ICML 2018 · Architectures and efficiency › RNNs and normalization · approach: Differentiable optimization layers · 15 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
apply learned SPN matrix multiplication in place of standard layer multiplicationsResNet-18 · ImageNet validationmultiplication reduction (%): 99.63Helped
add knowledge distillation (ablation)ST-ResNet-18 (r=2c_out, p=2, g=1) · ImageNet validationtop-1 accuracy (%): 67.1 -> 69.4Helped
add knowledge distillation (ablation)ST-LM (r=n_out) · PTB testperplexity: 83.42 -> 79.11Helped
increase spatial patch size p from 1 to 2 (ablation)ST-ResNet-20 (r=c_out) · CIFAR-10 testaccuracy (%): 91.24 -> 89.87Hurt
increase spatial patch size p from 1 to 2 (ablation)ST-ResNet-18 (r=2c_out, g=1) · ImageNet validationtop-1 accuracy (%): 67.0 -> 67.1Helped
use grouped convolution with g=4 rather than g=1 (ablation)ST-ResNet-18 (r=2c_out, p=1) · ImageNet validationtop-1 accuracy (%): 67.0 -> 65.6Hurt
reduce multiplication budget r from 6c_out to 4c_out (ablation)ST-ResNet-18 (p=2, g=1) · ImageNet validationtop-1 accuracy (%): 68.2 -> 68.0Hurt
reduce r from c_out to 3/4 c_out (ablation)ST-ResNet-20 (p=1) · CIFAR-10 testaccuracy (%): 91.24 -> 90.62Hurt
learn a per-layer multiplication allocation using L1 regularization on a_tilde rather than fixing r/c_out (ablation)ST-ResNet · ImageNet validationaccuracyHurt
pretrain full-precision SPN weights before activating quantization (ablation)StrassenNets · DNN trainingaccuracyNo clear effect
use ST-LM rather than TWN quantization at a similar multiplication budgetlanguage model · PTB testperplexity: 92.23 -> 83.42Helped
use KD with TWN quantization (ablation)TWN language model · PTB testperplexityHurt

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