Regret Minimization for Stochastic Shortest Paths
summary
Presents algorithms for minimizing regret in stochastic shortest-path problems where transitions and costs are unknown. Describes regret bounds and techniques using online learning and reinforcement-learning tools (e.g., exploration strategies and concentration inequalities) tailored to shortest-path MDPs with goal states.
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chapters (17)
- 0:00Start
- 0:57Stochastic Shortest Paths
- 3:32SSP generalizes other models
- 5:22Online learning SSP: Model
- 6:54Online learning SSP: Regret
- 7:39SSP regret: Previous works
- 9:07SSP regret: our works
- 10:18Planning in SSPs (Bertsekas and Tsitsiklis, 1991)
- 12:14Making policies proper: Cmin 0
- 15:07SSP regret: positive costs
- 16:16SSP algorithm
- 19:15SSP our algorithms
- 23:40Regret analysis: bounds
- 24:58Hoeffding versus Berenstein bound
- 25:38Lower bound
- 27:30Adversarial SSP
- 28:43Summary
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