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Low-Precision Stochastic Gradient Langevin Dynamics

ICML 2022 · Optimization › Optimizers · approach: Stochastic gradient MCMC · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use SGLD instead of SGD with low-precision gradient accumulators8-bit fixed-point models · CIFAR-100test error (%): 28.86 -> 26.62Helped
use SGLD instead of SGD with low-precision gradient accumulators8-bit block-floating-point models · CIFAR-100test error (%): 26.19 -> 25.22Helped
use SGLD instead of SGD with full-precision gradient accumulators8-bit block-floating-point models · ImageNetTop-1 test error: 32.23 -> 31.47Helped
use SGLD instead of SGD in full precisionImageNet ResNet-18 · ImageNetTop-1 test error: 30.56 -> 30.39Helped
add variance-corrected quantization to low-precision SGLD (ablation)naive SGLDLP-L · CIFAR-100, 8-bit fixed pointtest error (%): 27.25 -> 26.62Helped
add variance-corrected quantization to low-precision SGLD (ablation)naive SGLDLP-L · CIFAR-100, 8-bit block floating pointtest error (%): 26.38 -> 25.22Helped
add variance-corrected quantization to low-precision SGLD (ablation)naive SGLDLP-L · CIFAR-10, 8-bit block floating pointtest error (%): 5.85 -> 5.51Helped
use deterministic rather than stochastic weight rounding (ablation)SGLDLP-L · CIFAR-10, 8-bit block floating pointtest error (%): 5.51 -> 7.37Hurt
use low-precision gradient accumulators without variance correction (ablation)SGLDLP-L · standard Gaussian target, small stepsizesconvergence to target distributionHurt
use variance-corrected quantization instead of naive low-precision quantization (ablation)SGLDLP-L · standard Gaussian target, varying stepsizesconvergence to target distributionHelped
quantize activations to low precision (ablation)8-bit fixed-point deep-learning experiments · CIFAR and IMDBtest error (%)Hurt

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