Boosting:

For a given data set, an algorithm has found a sequence of weak binary classifiers $g_n$ with $n=1,$dots,$6.$

For a data point $x,$ the outputs of the indivdual weak classifiers and their respective weight factors are:

$g_1(x)=-1,{}_1=4\mathrm{.}5$

$g_2(x)=+1,{}_2=0\mathrm{.}5$

$g_3(x)=+1,{}_3=6\mathrm{.}5$

$g_4(x)=-1,{}_4=4\mathrm{.}5$

$g_5(x)=+1,{}_5=1\mathrm{.}0$

$g_6(x)=+1,{}_6=0\mathrm{.}5$

What is the output of the binary strong $($boosted$)$ classifier?

Antwort: