Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 45 / 3 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 4 / 30J / c / Solution

For labels $Y\in\{-1,1\}$ and a real-valued score $f$, the exponential loss is $\phi(Yf(X))=e^{-Yf(X)}$. Its population and empirical risks are
$$
R_\phi(f)=\mathbb E[e^{-Yf(X)}],
\qquad
\widehat R_\phi(f)=\frac1n\sum_{i=1}^ne^{-Y_if(X_i)}.
$$


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 Incoming links: Exponential classification risk