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Neural Information Processing Systems 

We will add a series of nu-2 merical experiments to demonstrate the minimax optimality of the model-3 based approach studied herein. Figure 1 depicts some numerical plots of this4 kind. Here, we adopt a (least favorable) example designed in the minimax5 bound in Azar et al. [2] (and also Wainwright [37]), which primarily fo-6 cuses on the effect ofthe discount complexity 11 γ on the sample complex-7 ity. Here, the red text represents the sample size38 barrier,andisremovedinourtheory.

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