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Quantum Speedups for Zero-Sum Games via Improved Dynamic Gibbs Sampling

ICML 2023 · Learning theory and algorithms › Submodular and game algorithms · approach: Zero-sum game learning dynamics · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the improved dynamic Gibbs sampler in the zero-sum game solverQuantum zero-sum game solver · Zero-sum gamesruntime: √(m + n) · ε^-3 -> √(m + n) · ε^-2.5 + ε^-3Helped
Maintain a slowly changing Gibbs-distribution hint across phasesQuantum dynamic Gibbs sampler · Sampling maintenance (T = ε^-2, η = ε)max(t_samp, t_up): √(m + n) · ε^-1 -> √(m + n) · ε^-1/2Helped
Use an empirical-distribution overestimate as the sampling hint instead of a uniform hintQuantum dynamic Gibbs sampler · Sampling maintenanceamortized sampling and update runtime: ε^-1 -> ε^-1/2Helped

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