Gampa, Phanideep and Kondamudi, Sairam Satwik and Kailasam, Lakshmanan
(2019)
A Tractable Algorithm for Finite-Horizon Continuous Reinforcement Learning.
In: 2nd International Conference on Intelligent Autonomous Systems, ICoIAS, 28 February-2 March 2019, Singapore.
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Abstract
We consider the finite horizon continuous reinforcement learning problem. Our contribution is three-fold. First,we give a tractable algorithm based on optimistic value iteration for the problem. Next,we give a lower bound on regret of order Ω(T2/3) for any algorithm discretizes the state space, improving the previous regret bound of Ω(T1/2) of Ortner and Ryabko [1] for the same problem. Next,under the assumption that the rewards and transitions are Hölder Continuous we show that the upper bound on the discretization error is const.Ln-α T. Finally, we give some simple experiments to validate our propositions.
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