Adaptive multiscale value function approximation via tree-structured wavelets is shown to have an O(N^{-s/d}) approximation rate, but the result mostly restates known nonlinear approximation theory and does not cover the TD learning process.
Value function approximation in reinforcement learning using the fourier basis,
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On Convergence Rate of Adaptive Multiscale Value Function Approximation For Reinforcement Learning
Adaptive multiscale value function approximation via tree-structured wavelets is shown to have an O(N^{-s/d}) approximation rate, but the result mostly restates known nonlinear approximation theory and does not cover the TD learning process.