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0111 · Nov 202019922001200920172026
3 results for UCRL-VTR

New RL algorithm for linear MDPs with nearly optimal regret.

problem Optimizing reinforcement learning for linear mixture Markov decision processes.
method Proposed a new Bernstein-type concentration inequality for self-normalized martingales and a computationally efficient algorithm UCRL-VTR+.
result UCRL-VTR+ achieves nearly minimax optimal regret of ildeO(dHT) ilde O(dH\sqrt{T}).

Logarithmic regret achieved in RL with linear function approximation.

problem Achieving logarithmic regret in reinforcement learning with linear function approximation.
method LSVI-UCB for linear MDP assumption, UCRL-VTR for linear mixture MDP assumption.
result Logarithmic regret bounds established for RL with linear function approximation.

Quantum RL algorithm achieves logarithmic regret for exploration.

problem Designing efficient quantum RL algorithms for exploration.
method UCRL-style quantum algorithm with lazy updating and quantum estimation.
result Proves O(poly(S,A,H,logT))\mathcal{O}(\mathrm{poly}(S, A, H, \log T)) worst-case regret.