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Optimal Algorithms for Smooth and Strongly Convex Distributed Optimization in Networks

ICML 2017 · Optimization › Distributed and compressed · approach: Decentralized optimization algorithms · 192 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use multi-step Chebyshev-accelerated gossip rather than one gossip step per iteration (ablation)Dual accelerated decentralized optimization · Strongly convex and smooth decentralized optimizationtime to precision ε: O((1+τ)√(κ_l/γ)ln(1/ε)) -> O(√κ_l(1+τ/√γ)ln(1/ε))Helped
Use MSDA instead of SSDA (ablation)Decentralized optimization · Least-squares regression and logistic classification on the tested networksconvergence rateHelped
Use DAGD rather than a decentralized methodDistributed optimization · Least-squares regression on the tested networksconvergence rateHelped
Use MSDA rather than DAGDDistributed optimization · Logistic classification on the tested networksconvergence rateHelped
Use SSDA rather than D-ADMMLogistic classification · 10×10 griditerations to reach the same error: 383 -> 10Helped

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