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PREDICTION AND ENTROPY OF MUSIC

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Author
Conklin, Darrell
Accessioned
2008-05-20T23:28:32Z
Available
2008-05-20T23:28:32Z
Computerscience
1999-05-27
Issued
1990-04-01
Subject
Computer Science
Type
unknown
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Abstract
This thesis develops and evaluates predictive theories of music. Good theories should model a particular class of music and predict new pieces in the class with high probability. Attention is restricted to melody alone--harmony and polyphony are not considered. Theories are constructed using an empirical learning approach, and to construct and evaluate them, one hundred Bach chorale melodies are analyzed. Theories are evaluated by a data compression measure, which is a strong indicator of their predictive power. The entropy of the chorales is estimated by averaging the amount of compression given to a test set using a theory learned from a training set. The central hypothesis is that the chorales are quite redundant in the information theoretic sense. A novel approach to the induction of sequence generating rules, called multiple viewpoints, is created. This method is based on the variable-order Markov model, with extensions to incorporate timescales and parallel streams of description. A multiple viewpoint system comprises two parts: a long-term theory which adapts to a class of sequences, and a short-term theory which adapts to a particular instance of the class. Predictions from both are combined into an overall prediction. The performance of several different multiple viewpoint systems is assessed on the chorale data. The redundancy of the chorales is thereby estimated to be 55%. This thesis concludes that the estimate must be compared with human performance at the same predictive task. The theory should also be evaluated in terms of the quality of the new chorales it generates, and by its ability to discriminate chorales from non-chorales.
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We are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at digitize@ucalgary.ca
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University of Calgary
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Science
Doi
http://dx.doi.org/10.11575/PRISM/31339
Uri
http://hdl.handle.net/1880/46518
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