Mercurial > hg > cip2012
comparison draft.tex @ 33:a9c8580cb8ca
Added missing graphics files.
author | samer |
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date | Wed, 14 Mar 2012 12:05:04 +0000 |
parents | 08c6df6dcfe0 |
children | 25846c37a08a |
comparison
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32:d9fae21eaaa4 | 33:a9c8580cb8ca |
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13 \usetikzlibrary{matrix} | 13 \usetikzlibrary{matrix} |
14 \usetikzlibrary{patterns} | 14 \usetikzlibrary{patterns} |
15 \usetikzlibrary{arrows} | 15 \usetikzlibrary{arrows} |
16 | 16 |
17 \let\citep=\cite | 17 \let\citep=\cite |
18 \newcommand{\colfig}[2][1]{\includegraphics[width=#1\linewidth]{ifigs/#2}}% | 18 \newcommand{\colfig}[2][1]{\includegraphics[width=#1\linewidth]{figs/#2}}% |
19 \newcommand\preals{\reals_+} | 19 \newcommand\preals{\reals_+} |
20 \newcommand\X{\mathcal{X}} | 20 \newcommand\X{\mathcal{X}} |
21 \newcommand\Y{\mathcal{Y}} | 21 \newcommand\Y{\mathcal{Y}} |
22 \newcommand\domS{\mathcal{S}} | 22 \newcommand\domS{\mathcal{S}} |
23 \newcommand\A{\mathcal{A}} | 23 \newcommand\A{\mathcal{A}} |
455 \caption{ | 455 \caption{ |
456 I-diagrams for several information measures in | 456 I-diagrams for several information measures in |
457 stationary random processes. Each circle or oval represents a random | 457 stationary random processes. Each circle or oval represents a random |
458 variable or sequence of random variables relative to time $t=0$. Overlapped areas | 458 variable or sequence of random variables relative to time $t=0$. Overlapped areas |
459 correspond to various mutual information as in \Figrf{venn-example}. | 459 correspond to various mutual information as in \Figrf{venn-example}. |
460 In (c), the circle represents the `present'. Its total area is | 460 In (b), the circle represents the `present'. Its total area is |
461 $H(X_0)=H(1)=\rho_\mu+r_\mu+b_\mu$, where $\rho_\mu$ is the multi-information | 461 $H(X_0)=\rho_\mu+r_\mu+b_\mu$, where $\rho_\mu$ is the multi-information |
462 rate, $r_\mu$ is the residual entropy rate, and $b_\mu$ is the predictive | 462 rate, $r_\mu$ is the residual entropy rate, and $b_\mu$ is the predictive |
463 information rate. The entropy rate is $h_\mu = r_\mu+b_\mu$. | 463 information rate. The entropy rate is $h_\mu = r_\mu+b_\mu$. |
464 } | 464 } |
465 \end{fig} | 465 \end{fig} |
466 | 466 |
549 | 549 |
550 \subsection{Musicological Analysis} | 550 \subsection{Musicological Analysis} |
551 refer to the work with the analysis of minimalist pieces | 551 refer to the work with the analysis of minimalist pieces |
552 | 552 |
553 \begin{fig}{twopages} | 553 \begin{fig}{twopages} |
554 % \colfig[0.96]{matbase/fig9471} % update from mbc paper | 554 \colfig[0.96]{matbase/fig9471} % update from mbc paper |
555 \colfig[0.97]{matbase/fig72663}\\ % later update from mbc paper (Keith's new picks) | 555 % \colfig[0.97]{matbase/fig72663}\\ % later update from mbc paper (Keith's new picks) |
556 \vspace*{1em} | 556 \vspace*{1em} |
557 \colfig[0.97]{matbase/fig13377} % rule based analysis | 557 \colfig[0.97]{matbase/fig13377} % rule based analysis |
558 \caption{Analysis of \emph{Two Pages}. | 558 \caption{Analysis of \emph{Two Pages}. |
559 The thick vertical lines are the part boundaries as indicated in | 559 The thick vertical lines are the part boundaries as indicated in |
560 the score by the composer. | 560 the score by the composer. |
568 All information measures are in nats and time is in notes. | 568 All information measures are in nats and time is in notes. |
569 } | 569 } |
570 \end{fig} | 570 \end{fig} |
571 | 571 |
572 \begin{fig}{metre} | 572 \begin{fig}{metre} |
573 \scalebox{1}[0.8]{% | 573 % \scalebox{1}[1]{% |
574 \begin{tabular}{cc} | 574 \begin{tabular}{cc} |
575 \colfig[0.45]{matbase/fig36859} & \colfig[0.45]{matbase/fig88658} \\ | 575 \colfig[0.45]{matbase/fig36859} & \colfig[0.48]{matbase/fig88658} \\ |
576 \colfig[0.45]{matbase/fig48061} & \colfig[0.45]{matbase/fig46367} \\ | 576 \colfig[0.45]{matbase/fig48061} & \colfig[0.48]{matbase/fig46367} \\ |
577 \colfig[0.45]{matbase/fig99042} & \colfig[0.45]{matbase/fig87490} | 577 \colfig[0.45]{matbase/fig99042} & \colfig[0.47]{matbase/fig87490} |
578 % \colfig[0.46]{matbase/fig56807} & \colfig[0.48]{matbase/fig27144} \\ | 578 % \colfig[0.46]{matbase/fig56807} & \colfig[0.48]{matbase/fig27144} \\ |
579 % \colfig[0.46]{matbase/fig87574} & \colfig[0.48]{matbase/fig13651} \\ | 579 % \colfig[0.46]{matbase/fig87574} & \colfig[0.48]{matbase/fig13651} \\ |
580 % \colfig[0.44]{matbase/fig19913} & \colfig[0.46]{matbase/fig66144} \\ | 580 % \colfig[0.44]{matbase/fig19913} & \colfig[0.46]{matbase/fig66144} \\ |
581 % \colfig[0.48]{matbase/fig73098} & \colfig[0.48]{matbase/fig57141} \\ | 581 % \colfig[0.48]{matbase/fig73098} & \colfig[0.48]{matbase/fig57141} \\ |
582 % \colfig[0.48]{matbase/fig25703} & \colfig[0.48]{matbase/fig72080} \\ | 582 % \colfig[0.48]{matbase/fig25703} & \colfig[0.48]{matbase/fig72080} \\ |
583 % \colfig[0.48]{matbase/fig9142} & \colfig[0.48]{matbase/fig27751} | 583 % \colfig[0.48]{matbase/fig9142} & \colfig[0.48]{matbase/fig27751} |
584 | 584 |
585 \end{tabular}% | 585 \end{tabular}% |
586 } | 586 % } |
587 \caption{Metrical analysis by computing average surprisingness and | 587 \caption{Metrical analysis by computing average surprisingness and |
588 informative of notes at different periodicities (\ie hypothetical | 588 informative of notes at different periodicities (\ie hypothetical |
589 bar lengths) and phases (\ie positions within a bar). | 589 bar lengths) and phases (\ie positions within a bar). |
590 } | 590 } |
591 \end{fig} | 591 \end{fig} |
592 | 592 |
593 \subsection{Content analysis/Sound Categorisation}. | 593 \subsection{Content analysis/Sound Categorisation}. |
594 Overview of of information-theoretic approaches to music content analysis. | 594 Overview of of information-theoretic approaches to music content analysis. |
595 \begin{itemize} | 595 \begin{itemize} |
596 \item Continuous domain information dynamicXtUngrabButton(drawArea,3,0) \item Audio based music expectation modelling Warning: Attempt to remove nonexistent passive grab | 596 \item Continuous domain information |
597 \item Audio based music expectation modelling | |
597 \item Proposed model for Gaussian processes | 598 \item Proposed model for Gaussian processes |
598 \end{itemize} | 599 \end{itemize} |
599 \emph{Peter} | 600 \emph{Peter} |
600 | 601 |
601 | 602 |
668 triangle, the corresponding transition matrix is returned. Figure \ref{TheTriangle} | 669 triangle, the corresponding transition matrix is returned. Figure \ref{TheTriangle} |
669 shows how the triangle maps to different measures of redundancy, entropy rate | 670 shows how the triangle maps to different measures of redundancy, entropy rate |
670 and predictive information rate.\emph{self-plagiarised} | 671 and predictive information rate.\emph{self-plagiarised} |
671 \begin{figure} | 672 \begin{figure} |
672 \centering | 673 \centering |
673 \includegraphics[width=0.85\linewidth]{figs/TheTriangle.pdf} | 674 \includegraphics[width=0.9\linewidth]{figs/TheTriangle.pdf} |
674 \caption{The Melody Triangle\label{TheTriangle}} | 675 \caption{The Melody Triangle\label{TheTriangle}} |
675 \end{figure} | 676 \end{figure} |
676 Each corner corresponds to three different extremes of predictability and | 677 Each corner corresponds to three different extremes of predictability and |
677 unpredictability, which could be loosely characterised as `periodicity', `noise' | 678 unpredictability, which could be loosely characterised as `periodicity', `noise' |
678 and `repetition'. Melodies from the `noise' corner have no discernible pattern; | 679 and `repetition'. Melodies from the `noise' corner have no discernible pattern; |