comparison draft.tex @ 33:a9c8580cb8ca

Added missing graphics files.
author samer
date Wed, 14 Mar 2012 12:05:04 +0000
parents 08c6df6dcfe0
children 25846c37a08a
comparison
equal deleted inserted replaced
32:d9fae21eaaa4 33:a9c8580cb8ca
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;