Then LARS convergence rate can be written in the following manner: (E[∥∇f(xa)∥)2≤ O ((f(x1)− f(x∗))L∞ T ψL ψ2g +∥σ∥2 T ψ2 σ ψ2g )

for comparing SIGN SGD with SGD, we deﬁne the following quantities: ( h∑ i=1 ∥∇if(xt)∥ )2 = ψ(∇f(xt))d∥∇f(xt)∥2 h ≥ ψgd∥∇f(xt)∥2 h ∥L∥2 1≤ ψLd2∥L∥2 ∞ h2 ∥σ∥2 1 = ψσd∥σ∥2 h · 2020

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Large Batch Optimization for Deep Learning: Training BERT in 76 minutes

cs.LG · 2019-04-01 · conditional · novelty 6.0

LAMB optimizer trains BERT with batch size 32868, reducing training time to 76 minutes on TPUv3 Pod without performance loss.

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Large Batch Optimization for Deep Learning: Training BERT in 76 minutes cs.LG · 2019-04-01 · conditional · none · ref 21
LAMB optimizer trains BERT with batch size 32868, reducing training time to 76 minutes on TPUv3 Pod without performance loss.

Then LARS convergence rate can be written in the following manner: (E[∥∇f(xa)∥)2≤ O ((f(x1)− f(x∗))L∞ T ψL ψ2g +∥σ∥2 T ψ2 σ ψ2g )

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