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The context-tree weighting method: extensions

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1 Author(s)
Willems, F.M.J. ; Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands

First we modify the basic (binary) context-tree weighting method such that the past symbols x1-D, x2-D, …, x 0 are not needed by the encoder and the decoder. Then we describe how to make the context-tree depth D infinite, which results in optimal redundancy behavior for all tree sources, while the number of records in the context tree is not larger than 2T-1. Here T is the length of the source sequence. For this extended context-tree weighting algorithm we show that with probability one the compression ratio is not larger than the source entropy for source sequence length T→∞ for stationary and ergodic sources

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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 2 )