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Variance Reduction in Monte Carlo Counterfactual Regret Minimization (VR-MCCFR) for Extensive Form Games Using Baselines

AAAI 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Sequential Monte Carlo for inference

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add state-action baselines and recursive bootstrappingMCCFR on Leduc poker · Leduc pokerspeedup over MCCFR: an order of magnitudeHelped
Add state-action baselines and recursive bootstrapping, and use CFR+MCCFR on Leduc poker · Leduc pokeriterations to reach the same exploitability: 250-timesHelped
Combine sampling with CFR+ using the proposed variance reductionMCCFR on Leduc poker · Leduc pokerspeedup over MCCFR: two orders of magnitudeHelped
Use state-action baselines instead of state baselines (ablation)VR-MCCFR+ on Leduc poker · Leduc pokerconvergence performanceHelped
Add recursive bootstrapping (ablation)VR-MCCFR+ on Leduc poker · Leduc pokerconvergence performanceHelped
Use both recursive bootstrapping and an action-dependent baseline (ablation)VR-MCCFR+ on Leduc poker · Leduc pokerconvergence performanceHelped
Use an oracle baseline with true counterfactual values instead of a learned baseline (ablation)VR-MCCFR+ on Leduc poker · Leduc pokerexploitabilityHelped
Learn the baseline online rather than use the oracle baseline (ablation)VR-MCCFR+ on Leduc poker · Leduc pokerexploitabilityNo clear effect
Use CFR+ rather than standard regret matching in the sampling algorithm (ablation)MCCFR on Leduc poker · Leduc pokerconvergence performance: For the first $10^6$ iterations; approximately $10^7$ iterationsMixed

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