  We deduce an evolution equation for an arbitrary hybrid Seiberg-Witten map
for compact gauge groups by using the antifield formalism. We show how this
evolution equation can be used to obtain the hybrid Seiberg-Witten map as an
expansion, which is $\theta$-exact, in the number of ordinary fields. We
compute explicitly this expansion up to order three in the number of ordinary
gauge fields and then particularize it to case of the Higgs of the
noncommutative Standard Model.
