In this research, it is proposed that music can be thought of as random processes, and music style recognition can be thought of as a system identification problem. Then, a general framework for modeling music using Markov chains is described, and based on this framework, a two-way composer identification scheme is demonstrated. The scheme utilizes the Kullback-Leibler distance as the metric between distribution functions, and it is shown that under the condition when the marginals are identical, the scheme gives maximum likelihood identification. Experiments of composer identification are conducted on all the string quartets written by Mozart and Haydn, and the results are documented and discussed.
R. Wille, и R. Wille-Henning. Conceptual structures: Knowledge architectures for smart applications. 15th international conference on conceptual structures, ICCS 2007, Sheffield, UK, July 22--27, 2007, том 4604 из Lecture Notes in Computer Science, стр. 269--282. Berlin, Springer, (2007)Lecture Notes in Artificial Intelligence.
D. Tymoczko. Mathematics and Computation in Music, том 38 из Communications in Computer and Information Science, Springer Berlin Heidelberg, 10.1007/978-3-642-02394-1_24.(2009)
Z. Sikić. Boniolo, Giovanni (ed.) et al., The role of mathematics in physical sciences. Interdisciplinary and philosophical aspects. Dordrecht: Springer. 179-196 (2005)., (2005)
P. Castine. European University Studies. Series 36: Musicology. 121. Frankfurt am Main: Peter Lang. 211 p. DM 65.00; \$ 37.95; 25.00; FF 212.00; sFr 53.00 (Thesis), (1994)
J. Kepler. Oldenbourg, München, 5., unveränd. reprograf. Nachdr. d. Ausg. von 1939 издание, (1990)Übers. u. eingeleitet von Max Caspar. Hrsg. im Auftr. d. Bayer. Akad. d. Wiss. in München.