I have the following minimization problem:
$\min_{b_i,\theta}\frac{1}{N}\sum_{i=1}^N\|y_i-f(x_i;\theta)b_i\|_2 $
where $b_i\in\{0,1\}$
I don't expect any solution to this but I would like to know how this is commonly called, i.e. under which terms I could find it in the literature. I've tried things like regression with binary mask/L2 minimization with binary mask but that didn't help much.
Thanks in advance!