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ZipML: Training Linear Models with End-to-End Low Precision, and a Little Bit of Deep Learning

ICML 2017 · Architectures and efficiency › Quantization · approach: Low-precision training formats · 107 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use double sampling for end-to-end low-precision SGD with 5-6 bitslinear regression and LS-SVM · Synthetic 100 / gisettefinal training loss and convergence rateNo clear effect
run quantized data on FPGA instead of 32-bit FPGA or Hogwild!ZipML linear models · Synthetic 100 / gisettetime to converge: 6-7x fasterHelped
replace uniform with data-optimal quantization points (ablation)quantized linear regression · YearPredictionbits to converge smoothly: 5-bit -> 3-bitHelped
replace uniform with optimal quantization at same bits (ablation)quantized linear regression · multiple regression datasetsconvergence speed: up to 4x fasterHelped
optimal instead of uniform quantization to cut bits (ablation)quantized linear regression · multiple regression datasetsbits at equal speed: save up to 1.7x bitsHelped
increase mini-batch size from 16 to 256 (ablation)full precision SGD · Figure 6 datasetepochs to convergeHurt
increase mini-batch size from 16 to 256 (ablation)3-bit quantized SGD · Figure 6 datasetconvergence speedHelped
use more features in the datasetquantized linear regression · multiple regression datasetsbits neededHurt
replace XNOR5 uniform 5-level quantization with Optimal5 (ablation)CIFAR-10 CNN · CIFAR-10test accuracy: >5 pointsHelped
apply optimal quantization levels (ablation)CIFAR-10 CNN · CIFAR-10training lossHelped

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