L1-penalized logistic regression
= L1-penalized logistic regression
{c}
{title2=$\widehat\beta$}
L1-penalized logistic regression minimizes empirical <logistic loss> plus $\lambda\lVert\beta\rVert_1$. Its subgradient optimality conditions set each logistic score coordinate equal to $-\lambda z_j$, where $z_j=\operatorname{sgn}(\beta_j)$ off zero and $z_j\in[-1,1]$ at zero.