# Prediction Suffix Tree

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Prediction Suffix Tree

Prediction Suffix Tree

The concept of the Markov chain of order L, which we essentially owe to the Russianmathematician Andrej Andreevic Markov (1907), has two drawbacks. First, the number ofparameters of the model grows exponentially with the order L of the chain. This brings aboutcomputational and storage problems during implementation, including for limited memory lengthL.

An improvement initially put forward by (Rissanen - 1983) and used particularly in compressiondata (Weinberger - 1992, Willems - 1995) was the Variable Length Markov chain (Buhlmann -1999). This model can be represented by a tree, known as Prediction Suffix Tree – PST (Ron -1996), certain branches of which are depth L and others of an inferior depth to L, whereas the
Markov chain of order L corresponds to a complete tree of depth L. By reducing the storage cost,pruning the branches of the tree will enable us to increase the order of the model and, therebyimprove performance.

References

Prediction suffix trees for supervised classification of sequences [http://wotan.liu.edu/docis/lib/sisl/rclis/dbl/parele/(2003)24%253A16%253C3153%253APSTFSC%253E/eurise.univ-st-etienne.fr%252F~largeron%252FPATREC.pdf]

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