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Optimal Algorithms for Decentralized Stochastic Variational Inequalities

NeurIPS 2022 · Optimization › Nonconvex and smooth optimization · approach: Extragradient for variational inequalities · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed method instead of EGD-GT, EGD-Con, or SlidingDecentralized deterministic VI on fixed networks · Robust linear regression on LiBSVM datasets; star, ring, and gridcommunication roundsHelped
Use the proposed method instead of EGD-GT, EGD-Con, or SlidingDecentralized deterministic VI on time-varying networks · Robust linear regression on LiBSVM datasets; grid topologycommunication roundsHelped
Use EGD-Con instead of the proposed methodDecentralized deterministic VI · Robust linear regression on LiBSVM datasets; time-varying ring topologycommunication roundsHelped
Use the proposed algorithm rather than EG-Alc-Alg1, EG-Alc-Alg2, or EG-Car with theoretical parameter choicesNon-distributed stochastic VI · Bilinear problems, including policeman and burglar and two test matricesepochs to convergenceHelped
Tune the competing methods' parameters for best convergenceNon-distributed stochastic VI · Bilinear problemsepochs to convergenceHurt
Use the proposed method instead of earlier decentralized methodsStochastic decentralized VI · Strongly monotone finite-sum VI, fixed and time-varying networkscommunication and local complexityHelped

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