Forward–backward algorithm: Difference between revisions

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# computing smoothed values
 
The forward and backward steps are often called "forward message pass" and "backward message pass". The wording originates from the way the algorithm processes the given observation sequence. First the algorithm moves forward starting with the first observation in the sequence and going to the last, and then returning back to the first. At each single observation in the sequence probabilities to be used for calculations at the next observation are computed. During the backward pass the algorithm simultaneously performesperforms the smoothing step. This step allows the algorithm to take into account any past observations of output for computing more accurate results.
 
== Formal description==