Information dynamics: patterns of expectation and surprise in the perception of music

Information dynamics: patterns of expectation and surprise in the perception of music
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DOI:
10.1080/09540090902733756
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发表时间:
2009-01-01
期刊:
影响因子:
5.3
通讯作者:
Plumbley, Mark
Plumbley, Mark
中科院分区:
计算机科学4区
文献类型:
--
作者:
Abdallah, Samer;Plumbley, Mark

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熵和互信息等度量可以用来描述随机过程。在本文中,我们建议使用几种时变信息度量,在概率模型的背景下计算,该模型随着过程的展开而演变,作为表征音乐时间结构的一种方法。其中一种测量方法是一种新颖的预测信息率,我们推测它可以为简单的随机性测量(例如熵率)和审美价值判断之间经常发现的“倒u”关系提供概念上的简单解释[Berlyne, D.E.(1971),美学和心理生物学,纽约:Appleton Century Crofts]。我们使用人工生成的序列和菲利普·格拉斯的两段极简主义音乐在马尔可夫链的背景下探索这些想法,表明即使是这样一个明显简化的模型(马尔可夫链),当根据信息动态原理解释时,产生的结构分析在很大程度上与专业的人类听众一致。因此,我们提出,我们的方法可以形成一个理论上连贯但计算上合理的人类对形式结构感知模型的基础,可能包括看似抽象的品质,如趣味性和美感。
Measures such as entropy and mutual information can be used to characterise random processes. In this paper, we propose the use of several time-varying information measures, computed in the context of a probabilistic model that evolves as a sample of the process unfolds, as a way to characterise temporal structure in music. One such measure is a novel predictive information rate which we conjecture may provide a conceptually simple explanation for the 'inverted-U' relationship often found between simple measures of randomness (e.g. entropy rate) and judgements of aesthetic value [Berlyne, D.E. (1971), Aesthetics and Psychobiology, New York: Appleton Century Crofts.]. We explore these ideas in the context of Markov chains using both artificially generated sequences and two pieces of minimalist music by Philip Glass, showing that even such a manifestly simplistic model (the Markov chain), when interpreted according to information dynamic principles, produces a structural analysis which largely agrees with that of an expert human listener. Thus, we propose that our approach could form the basis of a theoretically coherent yet computationally plausible model of human perception of formal structure, potentially including seemingly abstract qualities like interestingness and aesthetic goodness.