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Distributed Second Order Methods with Fast Rates and Compressed Communication

ICML 2021 · Optimization › Distributed and compressed · approach: Communication complexity theory · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NEWTON-LEARN (NL1) instead of Newton's methodDistributed logistic regression · LIBSVM datasets and artificial datasetcommunication complexityHelped
Decrease the random-sparsification parameter r (ablation)NEWTON-LEARN (NL1, NL2) · LIBSVM datasets and artificial datasetcommunication complexityHelped
Set r=1 and p=1 (ablation)NEWTON-LEARN (NL1) · Compression-parameter experimentscommunication complexityHelped
Set r=1 and p=1/20 (ablation)NEWTON-LEARN (NL2) · Compression-parameter experimentscommunication complexityHelped
Use NEWTON-LEARN (NL1) instead of BFGSDistributed logistic regression · LIBSVM datasets and artificial datasetcommunication complexityHelped
Use NEWTON-LEARN (NL1) instead of ADIANADistributed logistic regression · LIBSVM datasets and artificial datasetcommunication complexityHelped
Use NEWTON-LEARN (NL2) instead of ADIANADistributed logistic regression · w8a and other tested datasetscommunication complexityMixed
Use NEWTON-LEARN (NL1) instead of DINGODistributed logistic regression · Tested datasetscommunication complexityHelped
Use NEWTON-LEARN (NL2) instead of DINGODistributed logistic regression · Tested datasetscommunication complexityMixed
Use CUBIC-NEWTON-LEARN (CNL) instead of DCGD or DIANADistributed logistic regression · λ=10^-3communication complexityHelped
Use CUBIC-NEWTON-LEARN (CNL) instead of DCGD or DIANADistributed logistic regression · λ=10^-4 and λ=10^-5communication complexityHelped
Use Newton's method instead of NEWTON-LEARN (NL1, NL2)Distributed logistic regression · Tested datasetsiteration complexityHelped

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