Ridge-regularized CoCoA is shown to be a special case of proximal ADMM, and consensus ADMM is shown to be equivalent to proximal ADMM under a parameter mapping and sign reversal of the saddle objective.
Distributed opti- mization and statistical learning via the alternating direction method of multipliers.Foundations and Trends® in Machine learning, 3(1):1–122, 2011
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On the Relationship Between CoCoA and ADMM for Distributed Empirical Risk Minimization
Ridge-regularized CoCoA is shown to be a special case of proximal ADMM, and consensus ADMM is shown to be equivalent to proximal ADMM under a parameter mapping and sign reversal of the saddle objective.