[IML] Kernels

semester6/iml/parts/03_kernels.tex

@@ -92,4 +92,12 @@ $$
         \text{(ii)}\quad    & k(x,x')                         &= k_1(x,x') + k_2(x,x')  
     \end{align*}
     \item Kernels can be multiplied in 2 ways, yielding a kernel
-\end{enumerate}
+\end{enumerate}
+
+\lemma \textbf{Non-negative Taylor Series}\\
+\smalltext{$g:\R\to\R$ s.t. $g$ has only non-neg. coeffs. in its Taylor Series}
+$$
+    k(x,x') = g(\langle x,x' \rangle) \text{ is a valid kernel}
+$$
+
+% Add Polynomial, RBF (Gaussian, Laplacian)