Mercurial > hg > cip2012
comparison draft.tex @ 56:fa819cf73ea7
Improved introduction, removed 1st para after section indent.
author | samer |
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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 |
433 \newcommand\olap{0.85em}% | 439 \newcommand\olap{0.85em}% |
434 \newcommand\offs{3.6em} | 440 \newcommand\offs{3.6em} |
435 \newcommand\colsep{\hspace{5em}} | 441 \newcommand\colsep{\hspace{5em}} |
436 \newcommand\longblob{\ovoid{\axis}} | 442 \newcommand\longblob{\ovoid{\axis}} |
437 \newcommand\shortblob{\ovoid{1.75em}} | 443 \newcommand\shortblob{\ovoid{1.75em}} |
438 \begin{tabular}{c@{\colsep}c} | 444 \begin{tabular}{c} |
439 \subfig{(a) multi-information and entropy rates}{% | 445 \subfig{(a) multi-information and entropy rates}{% |
440 \begin{tikzpicture}%[baseline=-1em] | 446 \begin{tikzpicture}%[baseline=-1em] |
441 \newcommand\rc{1.75em} | 447 \newcommand\rc{1.75em} |
442 \newcommand\throw{2.5em} | 448 \newcommand\throw{2.5em} |
443 \coordinate (p1) at (180:1.5em); | 449 \coordinate (p1) at (180:1.5em); |
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} |