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The objective of this formulation is to provide an estimate of the global posterior probability of a model M given the acoustic data X (details are in paper [32]) :

\begin{eqnarray*}\lefteqn{P(M\vert X,\Theta)} \\
& & \simeq \sum_{l_1,\ldots,l_...
...\;\;\;\;\;\;\;\;\; \rightarrow {\bf Standard \ Hybrid \ HMM/ANN}

This demonstrates that given some assumptions, the hybrid system do produce an estimate of the global a posteriori probability P(M|X).

Christophe Ris