Recovery of regular ridge functions on the ball

Tatyana Zaitseva, Yuri Malykhin, Konstantin Ryutin

We consider the problem of the uniform (in $L_{\infty }$) recovery of ridge functions $f(x)=\phi (⟨a,x⟩)$, $x\in B_2^n$, using noisy evaluations $y_1\approx f(x^1),\ldots,y_N…