comparison draft.tex @ 65:9d7e5f690f28

Merged.

 	 in \secrf{surprise-info-seq} and \secrf{process-info}
 	 are equally applicable to random variables taking values in a continuous domain.
 	 In the case of music, where expressive properties such as dynamics, tempo,
 	 timing and timbre are readily quantified on a continuous scale, the information
 	 dynamic framework may thus be applied.
+%    \subsection{Audio based content analysis}
+%    Using analogous definitions of differential entropy, the methods outlined
+%     in the previous section are equally applicable to continuous random variables.
+%     In the case of music, where expressive properties such as dynamics, tempo,
+%     timing and timbre are readily quantified on a continuous scale, the information
+%     dynamic framework may also be considered.
 
 	 Dubnov \cite{Dubnov2006} considers the class of stationary Gaussian
 	 processes. For such processes, the entropy rate may be obtained analytically
 	 from the power spectral density of the signal. Dubnov found that the
 	 multi-information rate (which he refers to as `information rate') can be

 %	 mention non-gaussian processes extension Similarly, the predictive information
 %	 rate may be computed using a Gaussian linear formulation CITE. In this view,
 %	 the PIR is a function of the correlation  between random innovations supplied
 %	 to the stochastic process.  %Dubnov, MacAdams, Reynolds (2006) %Bailes and Dean (2009)
 
+%     In \cite{Dubnov2006}, Dubnov considers the class of stationary Gaussian
+%     processes. For such processes, the entropy rate may be obtained analytically
+%     from the power spectral density of the signal, allowing the multi-information
+%     rate to be subsequently obtained. One aspect demanding further investigation
+%     involves the comparison of alternative measures of predictability. In the case of the PIR, a Gaussian linear formulation is applicable, indicating that the PIR is a function of the correlation  between random innovations supplied to the stochastic process CITE.
+    % !!! FIXME
 
 
 \subsection{Beat Tracking}
 
 A probabilistic method for drum tracking was presented by Robertson