Improving Metrical Grammar with Grammar Expansion

  • Authors:
  • Makoto Tanji;Daichi Ando;Hitoshi Iba

  • Affiliations:
  • Graduate School of Engineering,;Graduate School of Frontier Science, The University of Tokyo, Japan;Graduate School of Engineering,

  • Venue:
  • AI '08 Proceedings of the 21st Australasian Joint Conference on Artificial Intelligence: Advances in Artificial Intelligence
  • Year:
  • 2008

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Abstract

This paper describes Metrical PCFG Model that represents the metrical structure of music by its derivation. Because the basic grammar of Metrical PCFG model is too simple, we also propose a grammar expansion method that improves the grammar by duplicating a nonterminal symbol and its rules. At first, a simple PCFG model which that represent the metrical structure by a derivation just like parse tree in natural language processing. The grammar expansion operator duplicates a symbol and its rules in the PCFG model. Then the parameters of PCFG are estimated by EM algorithm. We conducted two experiments. The first one shows the expansion method specialized symbols and rules to adapt to the training data. Rhythmic patterns in a piece were represented by expanded symbols. And in the second experiment, we investigated how the expansion method improves performance of prediction for new pieces with large corpus.