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Shampoo: Preconditioned Stochastic Tensor Optimization

ICML 2018 · Optimization › Optimizers · approach: Second-order and structured preconditioning · 52 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Shampoo's tensor-structured preconditioning instead of commonly used optimizersDeep-learning models · CIFAR-10, CIFAR-100, and LM1Bconvergence speedHelped
Recompute preconditioner roots every 20--100 steps rather than at every step (ablation)Shampoo · CIFAR-10, CIFAR-100, and LM1Bamortized runtime per stepHelped
Recompute preconditioner roots every 20--100 steps rather than at every step (ablation)Shampoo · CIFAR-10, CIFAR-100, and LM1BaccuracyNo clear effect
Add momentum with α=0.9 (ablation)Shampoo · CIFAR-10, CIFAR-100, and LM1BconvergenceHelped
Use diagonal rather than full preconditioners where a dimension is too large (ablation)Shampoo · Deep-learning experimentsperformanceNo clear effect

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