On the convergence of optimistic policy iteration for stochastic shortest path problem
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Abstract (arXiv)
In this paper, we prove some convergence results of a special case of optimistic policy iteration algorithm for stochastic shortest path problem. We consider both Monte Carlo and TD(λ) methods for the policy evaluation step under the condition that the termination state will eventually be reached almost surely.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Aug 2018.
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Citing papers per year: 2021: 1; 2022: 1; 2023: 1; 2024: 2; 2025: 1; 2026: 3.
9 papers.
- 2023On The Convergence Of Policy Iteration-Based Reinforcement Learning With Monte Carlo Policy Evaluationcited by 8
- 2021Optimistic Policy Iteration for MDPs with Acyclic Transient State Structurecited by 5
- 2022On the Convergence of Monte Carlo UCB for Random-Length Episodic MDPscited by 2
- 2026Convergence of Monte Carlo Optimistic Policy Iteration: Beyond Uniform State-Action Updatescited by 2
- 2024Finite-Sample Analysis of the Monte Carlo Exploring Starts Algorithm for Reinforcement Learningcited by 1
- 2025Stochastic Path Planning in Correlated Obstacle Fieldscited by 1
- 2024Simulation-Based Optimistic Policy Iteration For Multi-Agent MDPs with Kullback-Leibler Control Costcited by 0
- 2026Exploring Starts Are Not Enough: Counterexamples and a Fix for Monte Carlo Exploring Startscited by 0
- 2026Scalar-Stepsize Nonuniform Monte Carlo Optimistic Policy Iteration: A Certified Counterexamplecited by 0
- 2026Scalar-Stepsize Nonuniform Monte Carlo Optimistic Policy Iteration: A Certified Counterexample14 Jun 2026
- 2026Exploring Starts Are Not Enough: Counterexamples and a Fix for Monte Carlo Exploring Starts13 Jun 2026
- 2026Convergence of Monte Carlo Optimistic Policy Iteration: Beyond Uniform State-Action Updates9 Jun 2026
- 2025Stochastic Path Planning in Correlated Obstacle Fields23 Sep 2025
- 2024Simulation-Based Optimistic Policy Iteration For Multi-Agent MDPs with Kullback-Leibler Control Cost19 Oct 2024
- 2024Finite-Sample Analysis of the Monte Carlo Exploring Starts Algorithm for Reinforcement Learning3 Oct 2024
- 2023On The Convergence Of Policy Iteration-Based Reinforcement Learning With Monte Carlo Policy Evaluation23 Jan 2023
- 2022On the Convergence of Monte Carlo UCB for Random-Length Episodic MDPs7 Sep 2022
- 2021Optimistic Policy Iteration for MDPs with Acyclic Transient State Structure29 Jan 2021