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Optimal pruning with applications to tree-structured source coding and modeling

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3 Author(s)
P. A. Chou ; Dept. of Electr. Eng., Stanford Univ., CA, USA ; T. Lookabaugh ; R. M. Gray

An algorithm introduced by L. Breiman et al. (1984) in the context of classification and regression trees is reinterpreted and extended to cover a variety of applications in source coding and modeling in which trees are involved. These include variable-rate and minimum-entropy tree-structured vector quantization, minimum expected cost decision trees, variable-order Markov modeling, optimum bit allocation, and computer graphics and image processing using quadtrees. A concentration on the first of these and a detailed analysis of variable-rate tree-structured vector quantization are provided. It is found that variable-rate tree-structured vector quantization outperforms not only the fixed-rate variety but also full-search vector quantization. The successive approximation character of variable-rate tree-structured vector quantization permits it to degrade gracefully if the rate is reduced at the encoder. This has applications to the problem of buffer overflow

Published in:

IEEE Transactions on Information Theory  (Volume:35 ,  Issue: 2 )