Positive semidefinite quadratic-form classifier
= Positive semidefinite quadratic-form classifier
For a positive semidefinite trace ball $\mathcal S_s$, the quadratic-form hypothesis class is
$$
\mathcal H_s=\{h_M:x\mapsto x^TMx,\ M\in\mathcal S_s\}.
$$
Its empirical logistic risk is convex as a function of $M$.