In this paper, we give the first subexponential (in fact, quasi-polynomial time) reconstruction algorithm for depth-3 circuits of any constant top fan-in ($\Sigma\Pi\Sigma(k)$ circuits) over $\mathbb R$, $\mathbb C$, or any large characteristic finite field $\mathbb F$. More explicitly, we show that for any constant $k$, given black-box access to ... more >>>