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Distributed Principal Component Analysis with Limited Communication

NeurIPS 2021 · Optimization › Distributed and compressed · approach: Communication complexity theory · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Riemannian gradient quantization instead of naive Euclidean gradient quantization (ablation)quantized distributed gradient descent · four real datasets, cost -x^T A xcostHelped
quantize power iteration instead of using full precision (ablation)power iteration · four real datasetscostHurt
use 4 bits per coordinate instead of full precision (ablation)Riemannian gradient quantization · four real datasetscost: 16x compressionNo clear effect
reduce to 1-3 bits per coordinate (ablation)quantized methods · four real datasetsconvergence stability: 1-3 bitsHurt
increase to 8-10 bits per coordinate (ablation)quantized methods · four real datasetscost: 8-10 bitsHelped

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