Benutzer:AlexTheGer/KI

$H=\sum _{v:S_{v}\neq \emptyset }\left({\frac {\left|S_{v}\right|}{\left|S\right|}}*H(S_{v})\right)=\sum _{v:S_{v}\neq \emptyset }\left({\frac {\left|S_{v}\right|}{\left|S\right|}}*\sum _{c:S_{vc}\neq \emptyset }\left({\frac {\left|S_{vc}\right|}{\left|S_{v}\right|}}*log{\frac {\left|S_{v}\right|}{\left|S_{vc}\right|}}\right)\right)$

$S_{vc}=\{x\in S_{v}\|class(x)=c\}$

$d\left({\vec {a}},{\vec {b}}\right)={\sqrt[{k}]{\sum {\left|a_{i}-b_{i}\right|^{k}}}}$

$\sum {\left|a_{i}-b_{i}\right|}$

${\sqrt {\sum {\left|a_{i}-b_{i}\right|^{2}}}}$

$max\left(a_{i}-b_{i}\right)$

$\sum {\left(a_{i}-b_{i}\right)^{2}}$

$H_{1},H_{2},...,H_{n}\$

$\bigcup _{i}H_{i}$

$P\left(H_{1}|E\right)={\frac {P\left(H_{1}\right)*P\left(E|H_{1}\right)}{\sum _{i}{\left(P(H_{i})*P(E|H_{i})\right)}}}$