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Kernel Additive Models for Source Separation

Identifieur interne : 000E40 ( Main/Curation ); précédent : 000E39; suivant : 000E41

Kernel Additive Models for Source Separation

Auteurs : Antoine Liutkus [France] ; Derry Fitzgerald [Irlande (pays)] ; Zafar Rafii [États-Unis] ; Bryan Pardo [États-Unis] ; Laurent Daudet [France]

Source :

RBID : Pascal:14-0219788

Descripteurs français

English descriptors

Abstract

Source separation consists of separating a signal into additive components. It is a topic of considerable interest with many applications that has gathered much attention recently. Here, we introduce a new framework for source separation called Kernel Additive Modelling, which is based on local regression and permits efficient separation of multidimensional and/or non-negative and/or non-regularly sampled signals. The main idea of the method is to assume that a source at some location can be estimated using its values at other locations nearby, where nearness is defined through a source-specific proximity kernel. Such a kernel provides an efficient way to account for features like periodicity, continuity, smoothness, stability over time or frequency, and self-similarity. In many cases, such local dynamics are indeed much more natural to assess than any global model such as a tensor factorization. This framework permits one to use different proximity kernels for different sources and to separate them using the iterative kernel backfitting algorithm we describe. As we show, kernel additive modelling generalizes many recent and efficient techniques for source separation and opens the path to creating and combining source models in a principled way. Experimental results on the separation of synthetic and audio signals demonstrate the effectiveness of the approach.

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Le document en format XML

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<idno type="ISSN">1053-587X</idno>
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<term>Algorithm</term>
<term>Audio signal</term>
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<term>Kernel method</term>
<term>Modeling</term>
<term>Parameter estimation</term>
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<term>Selfsimilarity</term>
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<term>Signal processing</term>
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<term>Méthode noyau</term>
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<term>Méthode itérative</term>
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<div type="abstract" xml:lang="en">Source separation consists of separating a signal into additive components. It is a topic of considerable interest with many applications that has gathered much attention recently. Here, we introduce a new framework for source separation called Kernel Additive Modelling, which is based on local regression and permits efficient separation of multidimensional and/or non-negative and/or non-regularly sampled signals. The main idea of the method is to assume that a source at some location can be estimated using its values at other locations nearby, where nearness is defined through a source-specific proximity kernel. Such a kernel provides an efficient way to account for features like periodicity, continuity, smoothness, stability over time or frequency, and self-similarity. In many cases, such local dynamics are indeed much more natural to assess than any global model such as a tensor factorization. This framework permits one to use different proximity kernels for different sources and to separate them using the iterative kernel backfitting algorithm we describe. As we show, kernel additive modelling generalizes many recent and efficient techniques for source separation and opens the path to creating and combining source models in a principled way. Experimental results on the separation of synthetic and audio signals demonstrate the effectiveness of the approach.</div>
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<orgName type="acronym">UP7</orgName>
<desc>
<address>
<addrLine>5 rue Thomas-Mann - 75205 Paris cedex 13</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-paris-diderot.fr</ref>
</desc>
</org>
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<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
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<tutelle active="#struct-301585" type="direct">
<org type="institution" xml:id="struct-301585" status="VALID">
<orgName>ESPCI ParisTech</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</analytic>
<idno type="DOI">10.1109/TSP.2014.2332434</idno>
<series>
<title level="j">IEEE Transactions on Signal Processing</title>
<idno type="ISSN">1053-587X</idno>
<imprint>
<date type="datePub">2014-06</date>
</imprint>
</series>
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</sourceDesc>
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<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="en">
<term>audio</term>
<term>kernel models</term>
<term>machine learning</term>
<term>source separation</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">Source separation consists of separating a signal into additive components. It is a topic of considerable interest with many applications that has gathered much attention recently. Here, we introduce a new framework for source separation called Kernel Additive Modelling, which is based on local regression and permits efficient separation of multidimensional and/or nonnegative and/or non-regularly sampled signals. The main idea of the method is to assume that a source at some location can be estimated using its values at other locations nearby, where nearness is defined through a source-specific proximity kernel. Such a kernel provides an efficient way to account for features like periodicity, continuity, smoothness, stability over time or frequency, self-similarity, etc. In many cases, such local dynamics are indeed much more natural to assess than any global model such as a tensor factorization. This framework permits one to use different proximity kernels for different sources and to separate them using the iterative kernel backfitting algorithm we describe. As we show, kernel additive modelling generalizes many recent and efficient techniques for source separation and opens the path to creating and combining source models in a principled way. Experimental results on the separation of synthetic and audio signals demonstrate the effectiveness of the approach.</div>
</front>
</TEI>
</HAL>
</double>
</record>

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