Dynamic Bayesian networks for symbolic polyphonic pitch modeling
Identifieur interne : 001247 ( Main/Exploration ); précédent : 001246; suivant : 001248Dynamic Bayesian networks for symbolic polyphonic pitch modeling
Auteurs : Stanislaw Raczynski [France] ; Emmanuel Vincent [France] ; Shigeki Sagayama [Japon]Source :
- IEEE Transactions on Audio, Speech and Language Processing [ 1558-7916 ] ; 2013-04-15.
English descriptors
Abstract
Symbolic pitch modelling is a way of incorporating knowledge about relations between pitches into the process of analysing musical information or signals. In this paper, we propose a family of probabilistic symbolic polyphonic pitch models, which account for both the ''horizontal'' and the ''vertical'' pitch structure. These models are formulated as linear or log-linear interpolations of up to five sub-models, each of which is responsible for modelling a different type of relation. The ability of the models to predict symbolic pitch data is evaluated in terms of their cross-entropy, and of a newly proposed ''contextual cross-entropy'' measure. Their performance is then measured on synthesised polyphonic audio signals in terms of the accuracy of multiple pitch estimation in combination with a Nonnegative Matrix Factorisation-based acoustic model. In both experiments, the log-linear combination of at least one ''vertical'' (e.g., harmony) and one ''horizontal'' (e.g., note duration) sub-model outperformed a pitch-dependent Bernoulli prior by more than 60% in relative cross-entropy and 3% in absolute multiple pitch estimation accuracy. This work provides a proof of concept of the usefulness of model interpolation, which may be used for improved symbolic modelling of other aspects of music in the future.
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Le document en format XML
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<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Dynamic Bayesian Networks</term>
<term>multipitch analysis</term>
<term>symbolic pitch modeling</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Symbolic pitch modelling is a way of incorporating knowledge about relations between pitches into the process of analysing musical information or signals. In this paper, we propose a family of probabilistic symbolic polyphonic pitch models, which account for both the ''horizontal'' and the ''vertical'' pitch structure. These models are formulated as linear or log-linear interpolations of up to five sub-models, each of which is responsible for modelling a different type of relation. The ability of the models to predict symbolic pitch data is evaluated in terms of their cross-entropy, and of a newly proposed ''contextual cross-entropy'' measure. Their performance is then measured on synthesised polyphonic audio signals in terms of the accuracy of multiple pitch estimation in combination with a Nonnegative Matrix Factorisation-based acoustic model. In both experiments, the log-linear combination of at least one ''vertical'' (e.g., harmony) and one ''horizontal'' (e.g., note duration) sub-model outperformed a pitch-dependent Bernoulli prior by more than 60% in relative cross-entropy and 3% in absolute multiple pitch estimation accuracy. This work provides a proof of concept of the usefulness of model interpolation, which may be used for improved symbolic modelling of other aspects of music in the future.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
<li>Japon</li>
</country>
<region><li>Région Bretagne</li>
</region>
<settlement><li>Rennes</li>
</settlement>
<orgName><li>Université de Rennes 1</li>
<li>Université européenne de Bretagne</li>
</orgName>
</list>
<tree><country name="France"><region name="Région Bretagne"><name sortKey="Raczynski, Stanislaw" sort="Raczynski, Stanislaw" uniqKey="Raczynski S" first="Stanislaw" last="Raczynski">Stanislaw Raczynski</name>
</region>
<name sortKey="Vincent, Emmanuel" sort="Vincent, Emmanuel" uniqKey="Vincent E" first="Emmanuel" last="Vincent">Emmanuel Vincent</name>
</country>
<country name="Japon"><noRegion><name sortKey="Sagayama, Shigeki" sort="Sagayama, Shigeki" uniqKey="Sagayama S" first="Shigeki" last="Sagayama">Shigeki Sagayama</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>
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