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Smoothed functional-based gradient algorithms for off-policy reinforcement learning: A non-asymptotic viewpoint

Machine Learning 2024-06-25 v6

Abstract

We propose two policy gradient algorithms for solving the problem of control in an off-policy reinforcement learning (RL) context. Both algorithms incorporate a smoothed functional (SF) based gradient estimation scheme. The first algorithm is a straightforward combination of importance sampling-based off-policy evaluation with SF-based gradient estimation. The second algorithm, inspired by the stochastic variance-reduced gradient (SVRG) algorithm, incorporates variance reduction in the update iteration. For both algorithms, we derive non-asymptotic bounds that establish convergence to an approximate stationary point. From these results, we infer that the first algorithm converges at a rate that is comparable to the well-known REINFORCE algorithm in an off-policy RL context, while the second algorithm exhibits an improved rate of convergence.

Keywords

Cite

@article{arxiv.2101.02137,
  title  = {Smoothed functional-based gradient algorithms for off-policy reinforcement learning: A non-asymptotic viewpoint},
  author = {Nithia Vijayan and Prashanth L. A},
  journal= {arXiv preprint arXiv:2101.02137},
  year   = {2024}
}
R2 v1 2026-06-23T21:50:49.130Z