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A Large Deviations Perspective on Policy Gradient Algorithms

2023-11-13 · Wouter Jongeneel, Daniel Kuhn, Mengmeng Li

Motivated by policy gradient methods in the context of reinforcement learning, we identify a large deviation rate function for the iterates generated by stochastic gradient descent for possibly non-convex objectives satisfying a Polyak-{\L}ojasiewicz condition. Leveraging the contraction principle from large deviations theory, we illustrate the potential of this result by showing how convergence properties of policy gradient with a softmax parametrization and an entropy regularized objective can be naturally extended to a wide spectrum of other policy parametrizations.

📄 PDF Abstract BibTeX arXiv:2311.07411

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Policy Gradient Methodsreinforcement-learningReinforcement Learning

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Softmax The Softmax output function transforms a previous layer's output into a vector of probabilities. It is commonly used for multiclass classification. Given an input vector $x$…

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