Forward–backward algorithm: Difference between revisions

Revision as of 06:34, 5 October 2013

Revision as of 21:24, 17 October 2013

Line 250:

:<math>

(\mathbf{\gamma_0})^T = \alpha\begin{pmatrix}0.5000 \\ 0.5000 \end{pmatrix}\timescdot \begin{pmatrix}0.6469 \\ 0.3531 \end{pmatrix}=\alpha\begin{pmatrix}0.3235 \\ 0.1765\end{pmatrix}=\begin{pmatrix}0.6469 \\ 0.3531 \end{pmatrix}

</math>

:<math>

(\mathbf{\gamma_1})^T = \alpha\begin{pmatrix}0.8182 \\ 0.1818 \end{pmatrix}\timescdot \begin{pmatrix}0.5923 \\ 0.4077 \end{pmatrix}=\alpha\begin{pmatrix}0.4846 \\ 0.0741\end{pmatrix}=\begin{pmatrix}0.8673 \\ 0.1327 \end{pmatrix}

</math>

:<math>

(\mathbf{\gamma_2})^T = \alpha\begin{pmatrix}0.8834 \\ 0.1166 \end{pmatrix}\timescdot \begin{pmatrix}0.3763 \\ 0.6237 \end{pmatrix}=\alpha\begin{pmatrix}0.3324 \\ 0.0728\end{pmatrix}=\begin{pmatrix}0.8204 \\ 0.1796 \end{pmatrix}

</math>

:<math>

(\mathbf{\gamma_3})^T = \alpha\begin{pmatrix}0.1907 \\ 0.8093 \end{pmatrix}\timescdot \begin{pmatrix}0.6533 \\ 0.3467 \end{pmatrix}=\alpha\begin{pmatrix}0.1246 \\ 0.2806\end{pmatrix}=\begin{pmatrix}0.3075 \\ 0.6925 \end{pmatrix}

</math>

:<math>

(\mathbf{\gamma_4})^T = \alpha\begin{pmatrix}0.7308 \\ 0.2692 \end{pmatrix}\timescdot \begin{pmatrix}0.6273 \\ 0.3727 \end{pmatrix}=\alpha\begin{pmatrix}0.4584 \\ 0.1003\end{pmatrix}=\begin{pmatrix}0.8204 \\ 0.1796 \end{pmatrix}

</math>

:<math>

(\mathbf{\gamma_5})^T = \alpha\begin{pmatrix}0.8673 \\ 0.1327 \end{pmatrix}\timescdot \begin{pmatrix}1.0000 \\ 1.0000 \end{pmatrix}=\alpha\begin{pmatrix}0.8673 \\ 0.1327 \end{pmatrix}=\begin{pmatrix}0.8673 \\ 0.1327 \end{pmatrix}

</math>