comparison draft.tex @ 56:fa819cf73ea7

Improved introduction, removed 1st para after section indent.
author samer
date Fri, 16 Mar 2012 18:05:17 +0000
parents 2f783c4c3562
children ceec4e8b6585
comparison
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73 \end{abstract} 73 \end{abstract}
74 74
75 75
76 \section{Introduction} 76 \section{Introduction}
77 \label{s:Intro} 77 \label{s:Intro}
78 The relationship between
79 Shannon's \cite{Shannon48} information theory and music and art in general has been the
80 subject of some interest since the 1950s
81 \cite{Youngblood58,CoonsKraehenbuehl1958,HillerBean66,Moles66,Meyer67,Cohen1962}.
82 The general thesis is that perceptible qualities and subjective states
83 like uncertainty, surprise, complexity, tension, and interestingness
84 are closely related to information-theoretic quantities like
85 entropy, relative entropy, and mutual information.
86
87 Music is also an inherently dynamic process,
88 where listeners build up expectations on what is to happen next,
89 which are either satisfied or modified as the music unfolds.
90 In this paper, we explore this ``Information Dynamics'' view of music,
91 discussing the theory behind it and some emerging appliations
78 92
79 \subsection{Expectation and surprise in music} 93 \subsection{Expectation and surprise in music}
80 One of the effects of listening to music is to create 94 One of the effects of listening to music is to create
81 expectations of what is to come next, which may be fulfilled 95 expectations of what is to come next, which may be fulfilled
82 immediately, after some delay, or not at all as the case may be. 96 immediately, after some delay, or not at all as the case may be.
135 that statistical models can form an effective basis for computational 149 that statistical models can form an effective basis for computational
136 analysis of music, \eg 150 analysis of music, \eg
137 \cite{ConklinWitten95,PonsfordWigginsMellish1999,Pearce2005}. 151 \cite{ConklinWitten95,PonsfordWigginsMellish1999,Pearce2005}.
138 } 152 }
139 153
140 \subsection{Music and information theory} 154 % \subsection{Music and information theory}
141 With a probabilistic framework for music modelling and prediction in hand, 155 With a probabilistic framework for music modelling and prediction in hand,
142 we are in a position to apply Shannon's quantitative information theory 156 we are in a position to compute various
143 \cite{Shannon48}.
144 \comment{ 157 \comment{
145 which provides us with a number of measures, such as entropy 158 which provides us with a number of measures, such as entropy
146 and mutual information, which are suitable for quantifying states of 159 and mutual information, which are suitable for quantifying states of
147 uncertainty and surprise, and thus could potentially enable us to build 160 uncertainty and surprise, and thus could potentially enable us to build
148 quantitative models of the listening process described above. They are 161 quantitative models of the listening process described above. They are
154 or visual media. 167 or visual media.
155 The relevance of information theory to music and art has 168 The relevance of information theory to music and art has
156 also been addressed by researchers from the 1950s onwards 169 also been addressed by researchers from the 1950s onwards
157 \cite{Youngblood58,CoonsKraehenbuehl1958,Cohen1962,HillerBean66,Moles66,Meyer67}. 170 \cite{Youngblood58,CoonsKraehenbuehl1958,Cohen1962,HillerBean66,Moles66,Meyer67}.
158 } 171 }
159 The relationship between information theory and music and art in general has been the
160 subject of some interest since the 1950s
161 \cite{Youngblood58,CoonsKraehenbuehl1958,HillerBean66,Moles66,Meyer67,Cohen1962}.
162 The general thesis is that perceptible qualities and subjective
163 states like uncertainty, surprise, complexity, tension, and interestingness
164 are closely related to
165 information-theoretic quantities like entropy, relative entropy, 172 information-theoretic quantities like entropy, relative entropy,
166 and mutual information. 173 and mutual information.
167 % and are major determinants of the overall experience. 174 % and are major determinants of the overall experience.
168 Berlyne \cite{Berlyne71} called such quantities `collative variables', since 175 Berlyne \cite{Berlyne71} called such quantities `collative variables', since
169 they are to do with patterns of occurrence rather than medium-specific details, 176 they are to do with patterns of occurrence rather than medium-specific details,
177 % listener, a temporal programme of varying 184 % listener, a temporal programme of varying
178 % levels of uncertainty, ambiguity and surprise. 185 % levels of uncertainty, ambiguity and surprise.
179 186
180 187
181 \subsection{Information dynamic approach} 188 \subsection{Information dynamic approach}
182
183 Bringing the various strands together, our working hypothesis is that as a 189 Bringing the various strands together, our working hypothesis is that as a
184 listener (to which will refer as `it') listens to a piece of music, it maintains 190 listener (to which will refer as `it') listens to a piece of music, it maintains
185 a dynamically evolving probabilistic model that enables it to make predictions 191 a dynamically evolving probabilistic model that enables it to make predictions
186 about how the piece will continue, relying on both its previous experience 192 about how the piece will continue, relying on both its previous experience
187 of music and the immediate context of the piece. As events unfold, it revises 193 of music and the immediate context of the piece. As events unfold, it revises
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439 \subfig{(a) multi-information and entropy rates}{% 445 \subfig{(a) multi-information and entropy rates}{%
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1053 \section{acknowledgments} 1059 \section{acknowledgments}
1054 This work is supported by EPSRC Doctoral Training Centre EP/G03723X/1 (HE), 1060 This work is supported by EPSRC Doctoral Training Centre EP/G03723X/1 (HE),
1055 GR/S82213/01 and EP/E045235/1(SA), an EPSRC Leadership Fellowship, EP/G007144/1 1061 GR/S82213/01 and EP/E045235/1(SA), an EPSRC Leadership Fellowship, EP/G007144/1
1056 (MDP) and EPSRC IDyOM2 EP/H013059/1. 1062 (MDP) and EPSRC IDyOM2 EP/H013059/1.
1057 1063
1058 \bibliographystyle{unsrt} 1064 \bibliographystyle{abbrv}
1059 {\bibliography{all,c4dm,nime,andrew}} 1065 {\bibliography{all,c4dm,nime,andrew}}
1060 \end{document} 1066 \end{document}