why
$min_{\beta} \|X\beta-y\|^2+\lambda\|\beta\|_\ell$
is equivalent to
$min_\beta \|X\beta-y\|^2$
$s.t.$
$\|\beta\|_\ell<t$
why
$min_{\beta} \|X\beta-y\|^2+\lambda\|\beta\|_\ell$
is equivalent to
$min_\beta \|X\beta-y\|^2$
$s.t.$
$\|\beta\|_\ell<t$
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