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Research map / Optimization / Nonconvex and smooth optimization

Convergence and Optimality of Policy Gradient Methods in Weakly Smooth Settings

AAAI 2022 · Optimization › Nonconvex and smooth optimization · approach: Coordinate and Adam convergence analysis · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Allow weak Hölder smoothness and an L₂-integrable score instead of requiring strong smoothness and an absolutely bounded gradientPolicy Gradient and Natural Policy Gradient · Continuous-action MDPs satisfying the paper's assumptionsconvergence to a stationary pointHelped
Use Natural Policy Gradient rather than standard Policy Gradient for the optimality guaranteePolicy optimization under weak smoothness · Weakly smooth policy classesoptimality gapHelped
Use generalized Gaussian policies with heavier tails rather than Gaussian policiesSingle-state exploration problem · Exploration banditsamples needed to discover the correct actionHelped

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