diff --git a/semester6/iml/main.pdf b/semester6/iml/main.pdf index 942607b..99c13c3 100644 Binary files a/semester6/iml/main.pdf and b/semester6/iml/main.pdf differ diff --git a/semester6/iml/parts/03_kernels.tex b/semester6/iml/parts/03_kernels.tex index e4325f9..26222ce 100644 --- a/semester6/iml/parts/03_kernels.tex +++ b/semester6/iml/parts/03_kernels.tex @@ -92,4 +92,12 @@ $$ \text{(ii)}\quad & k(x,x') &= k_1(x,x') + k_2(x,x') \end{align*} \item Kernels can be multiplied in 2 ways, yielding a kernel -\end{enumerate} \ No newline at end of file +\end{enumerate} + +\lemma \textbf{Non-negative Taylor Series}\\ +\smalltext{$g:\R\to\R$ s.t. $g$ has only non-neg. coeffs. in its Taylor Series} +$$ + k(x,x') = g(\langle x,x' \rangle) \text{ is a valid kernel} +$$ + +% Add Polynomial, RBF (Gaussian, Laplacian) \ No newline at end of file