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We prove that every bounded function $f:\{-1,1\}^n\to[-1,1]$ of degree atmost $d$ can be learned with $L_2$-accuracy $\varepsilon$ and confidence$1-\delta$ from $\log(\tfrac{n}{\delta})\,\varepsilon^{-d-1}C^{d^{3/2}\sqrt{\log d}}$ random queries, where $C>1$ is a universal finiteconstant.

Learning low-degree functions from a logarithmic number of random queries