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No-Regret Learning in Time-Varying Zero-Sum Games

ICML 2022 · Bandits and online learning › Online convex optimization and games · approach: Last-iterate convergence in games · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the parameter-free two-layer algorithm with DRVU base-learners and stability correctionsBoth players in time-varying zero-sum games · Time-varying zero-sum gamesindividual regret: \widetilde{O}\Big(\sqrt{1+V_T+\min\{P_T,W_T\}}\Big)Helped
Use the parameter-free two-layer algorithm with DRVU base-learners and stability correctionsBoth players in time-varying zero-sum games · Time-varying zero-sum gamesdynamic NE-regret: \widetilde{O}\big(\min\{\sqrt{(1+V_T)(1+P_T)} + P_T, 1 + W_T\}\big)Helped
Use the parameter-free two-layer algorithm with DRVU base-learners and stability correctionsBoth players in time-varying zero-sum games · Time-varying zero-sum gamesduality gap: \widetilde{O}\Big(\min\{T^{\frac{3}{4}} \big( 1 +Q_T \big)^{\frac{1}{4}}, T^{\frac{1}{2}}(1+Q_T^{\frac{3}{2}}+P_TQ_T)^{\Helped
Use the parameter-free two-layer algorithmA player facing any opponent · Time-varying zero-sum gamesindividual regret: \widetilde{O}(\sqrt{T})Helped
Use the parameter-free two-layer algorithmBoth players in a stationary zero-sum game · Stationary zero-sum gameindividual regret: \widetilde{O}(1)Helped
Use the parameter-free two-layer algorithmBoth players in a stationary zero-sum game · Stationary zero-sum gamedynamic NE-regret: \widetilde{O}(1)Helped
Use the parameter-free two-layer algorithmBoth players in a stationary zero-sum game · Stationary zero-sum gameduality gap: \widetilde{O}(\sqrt{T})Helped
Add dummy base-learners that always play a fixed actionThe two-layer algorithm · Time-varying zero-sum gamesduality gapHelped
Add stability correction terms to the meta-algorithm's losses and predictionsThe two-layer algorithm · Time-varying zero-sum gamesstability of strategiesHelped
Replace NE-regret's minimax value of the cumulative payoff matrix with the sum of each round's minimax valueThe performance measure for time-varying games · Two-phase time-varying gamedynamic NE-regret: T/2Helped

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