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Optimal Epoch Stochastic Gradient Descent Ascent Methods for Min-Max Optimization

NeurIPS 2020 · Optimization › Nonconvex and smooth optimization · approach: Gradient descent ascent for minimax · 28 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use epoch-wise stochastic gradient descent ascent for a general strongly-convex strongly-concave problem without smoothness or structural assumptionsEpoch-GDA · General SCSC min-maxiteration complexity for ε-duality gap: O\left(1/\epsilon\right)Helped
Use epoch-wise updates with regularization of the primal variable for a general weakly-convex strongly-concave problem, without smoothness or structural assumptionsEpoch-GDA · General WCSC min-maxiteration complexity for nearly ε-stationary point: \tilde O\left(1/\epsilon^4\right)Helped

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