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- W4386908098 abstract "We investigate the problem of learning an $epsilon$-approximate solution for the discrete-time Linear Quadratic Regulator (LQR) problem via a Stochastic Variance-Reduced Policy Gradient (SVRPG) approach. Whilst policy gradient methods have proven to converge linearly to the optimal solution of the model-free LQR problem, the substantial requirement for two-point cost queries in gradient estimations may be intractable, particularly in applications where obtaining cost function evaluations at two distinct control input configurations is exceptionally costly. To this end, we propose an oracle-efficient approach. Our method combines both one-point and two-point estimations in a dual-loop variance-reduced algorithm. It achieves an approximate optimal solution with only $Oleft(logleft(1/epsilonright)^{beta}right)$ two-point cost information for $beta in (0,1)$." @default.
- W4386908098 created "2023-09-21" @default.
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- W4386908098 date "2023-09-19" @default.
- W4386908098 modified "2023-09-30" @default.
- W4386908098 title "Oracle Complexity Reduction for Model-free LQR: A Stochastic Variance-Reduced Policy Gradient Approach" @default.
- W4386908098 doi "https://doi.org/10.48550/arxiv.2309.10679" @default.
- W4386908098 hasPublicationYear "2023" @default.
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