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Training Deep Neural Networks with 8-bit Floating Point Numbers

NeurIPS 2018 · Architectures and efficiency › Quantization · approach: Low-precision training formats · 202 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train with FP8 representations and multiplications, FP16 accumulation and stochastic-rounded FP16 updatesCNN and DNN models · CIFAR10, BN50, ImageNettest error: 17.80% -> 18.15%; 7.23% -> 7.79%; 59.33% -> 60.08%; 41.96% -> 42.45%; 32.57% -> 33.05%; 27.86% -> 28.28%Mixed
Use FP8 for all AlexNet training operands with FP16 accumulationAlexNet · ImageNettop-1 accuracy: 57.5 vs 56.9Helped
Add chunk-based accumulation to FP16 GEMM accumulation (ablation)FP8 training · ResNet50convergenceHelped
Use FP32 for Gradient GEMM instead of reduced-precision accumulation without chunking (ablation)ResNet18 FP8 training · ImageNettest error: 99%Helped
Use FP16 input images instead of FP8 (ablation)ResNet18 and ResNet50 FP8 training · ImageNetaccuracy: ~2%Helped
Use FP16 rather than FP8 for all last-layer GEMMs and Softmax input (ablation)AlexNet · ImageNettest error: 52.12 -> 42.30Helped
Preserve the final forward GEMM output in FP16 while keeping last-layer GEMMs in FP8 (ablation)AlexNet · ImageNettest error: 52.12 -> 42.37Helped
Use stochastic instead of nearest rounding for FP16 weight updates (ablation)AlexNet · ImageNettop-1 accuracy: 54.10% -> 57.94%Helped
Use stochastic instead of nearest rounding for FP16 weight updates (ablation)ResNet18 · ImageNettop-1 accuracy: 65.74% -> 67.34%Helped
Use chunk sizes between 64 and 256 for Gradient GEMM (ablation)CIFAR10-ResNet · CIFAR10normalized L2-distance to FP32 GEMM: 64 and 256Helped
Replace chunk-based accumulation with ordinary FP16 accumulation using nearest rounding (ablation)FP8 training dot products · Numerical accumulation testaccumulation fidelity: length≥4096Hurt

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