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Non asymptotic error bound for non parametric estamation $f(x)=\mathbb{E}[Y|X=x]$

I am considering the following model: $(X_i,Y_i)_{i=1}^n$ are iid random pairs with $(X_i,Y_i)\in[0,1]^2$. Let $f(x)=\mathbb{E}[Y|X=x]$. Consider an estimate $\hat{f}_n$ of $f$. Under some hypothesis …