Serveur d'exploration sur la recherche en informatique en Lorraine

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Radius-margin bound on the leave-one-out error of the LLW-M-SVM

Identifieur interne : 003F14 ( Hal/Curation ); précédent : 003F13; suivant : 003F15

Radius-margin bound on the leave-one-out error of the LLW-M-SVM

Auteurs : Yann Guermeur [France] ; Emmanuel Monfrini [France]

Source :

RBID : Hal:hal-00471493

English descriptors

Abstract

To set the values of the hyperparameters of a support vector machine (SVM), one can use cross-validation. Its leave-one-out variant produces an estimator of the generalization error which is almost unbiased. Its major drawback rests in its time requirement. To overcome this difficulty, several upper bounds on the leave-one-out error of the pattern recognition SVM have been derived. The most popular one is the radius-margin bound. In this article, we introduce a generalized radius-margin bound dedicated to the multi-class SVM of Lee, Lin and Wahba.

Url:

Links toward previous steps (curation, corpus...)


Links to Exploration step

Hal:hal-00471493

Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Radius-margin bound on the leave-one-out error of the LLW-M-SVM</title>
<author>
<name sortKey="Guermeur, Yann" sort="Guermeur, Yann" uniqKey="Guermeur Y" first="Yann" last="Guermeur">Yann Guermeur</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-160" status="OLD">
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc>
<address>
<addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle name="UMR7503" active="#struct-441569" type="direct">
<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>
</tutelle>
<tutelle active="#struct-300009" type="direct">
<org type="institution" xml:id="struct-300009" status="VALID">
<orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc>
<address>
<addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="direct">
<org type="institution" xml:id="struct-300291" status="OLD">
<orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="direct">
<org type="institution" xml:id="struct-300292" status="OLD">
<orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="direct">
<org type="institution" xml:id="struct-300293" status="OLD">
<orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
<author>
<name sortKey="Monfrini, Emmanuel" sort="Monfrini, Emmanuel" uniqKey="Monfrini E" first="Emmanuel" last="Monfrini">Emmanuel Monfrini</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-89901" status="VALID">
<orgName>Communications, Images et Traitement de l'Information</orgName>
<orgName type="acronym">CITI</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
<listRelation>
<relation active="#struct-302102" type="direct"></relation>
<relation active="#struct-352124" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-302102" type="direct">
<org type="institution" xml:id="struct-302102" status="VALID">
<orgName>Institut Mines-Télécom</orgName>
<desc>
<address>
<addrLine>46 rue Barrault -75634 Paris Cedex 13</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.mines-telecom.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-352124" type="direct">
<org type="institution" xml:id="struct-352124" status="VALID">
<orgName>Télécom SudParis</orgName>
<desc>
<address>
<addrLine>9 rue Charles Fourier -91011 Evry Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.telecom-sudparis.eu/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-00471493</idno>
<idno type="halId">hal-00471493</idno>
<idno type="halUri">https://hal.archives-ouvertes.fr/hal-00471493</idno>
<idno type="url">https://hal.archives-ouvertes.fr/hal-00471493</idno>
<date when="2009-06-30">2009-06-30</date>
<idno type="wicri:Area/Hal/Corpus">003F14</idno>
<idno type="wicri:Area/Hal/Curation">003F14</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en">Radius-margin bound on the leave-one-out error of the LLW-M-SVM</title>
<author>
<name sortKey="Guermeur, Yann" sort="Guermeur, Yann" uniqKey="Guermeur Y" first="Yann" last="Guermeur">Yann Guermeur</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-160" status="OLD">
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc>
<address>
<addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle name="UMR7503" active="#struct-441569" type="direct">
<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>
</tutelle>
<tutelle active="#struct-300009" type="direct">
<org type="institution" xml:id="struct-300009" status="VALID">
<orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc>
<address>
<addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="direct">
<org type="institution" xml:id="struct-300291" status="OLD">
<orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="direct">
<org type="institution" xml:id="struct-300292" status="OLD">
<orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="direct">
<org type="institution" xml:id="struct-300293" status="OLD">
<orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
<author>
<name sortKey="Monfrini, Emmanuel" sort="Monfrini, Emmanuel" uniqKey="Monfrini E" first="Emmanuel" last="Monfrini">Emmanuel Monfrini</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-89901" status="VALID">
<orgName>Communications, Images et Traitement de l'Information</orgName>
<orgName type="acronym">CITI</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
<listRelation>
<relation active="#struct-302102" type="direct"></relation>
<relation active="#struct-352124" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-302102" type="direct">
<org type="institution" xml:id="struct-302102" status="VALID">
<orgName>Institut Mines-Télécom</orgName>
<desc>
<address>
<addrLine>46 rue Barrault -75634 Paris Cedex 13</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.mines-telecom.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-352124" type="direct">
<org type="institution" xml:id="struct-352124" status="VALID">
<orgName>Télécom SudParis</orgName>
<desc>
<address>
<addrLine>9 rue Charles Fourier -91011 Evry Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.telecom-sudparis.eu/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="en">
<term>Leave-one-out error</term>
<term>M-SVMs</term>
<term>Model selection</term>
<term>Radius-margin bound</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">To set the values of the hyperparameters of a support vector machine (SVM), one can use cross-validation. Its leave-one-out variant produces an estimator of the generalization error which is almost unbiased. Its major drawback rests in its time requirement. To overcome this difficulty, several upper bounds on the leave-one-out error of the pattern recognition SVM have been derived. The most popular one is the radius-margin bound. In this article, we introduce a generalized radius-margin bound dedicated to the multi-class SVM of Lee, Lin and Wahba. </div>
</front>
</TEI>
<hal api="V3">
<titleStmt>
<title xml:lang="en">Radius-margin bound on the leave-one-out error of the LLW-M-SVM</title>
<author role="aut">
<persName>
<forename type="first">Yann</forename>
<surname>Guermeur</surname>
</persName>
<email></email>
<idno type="halauthor">478354</idno>
<affiliation ref="#struct-160"></affiliation>
</author>
<author role="aut">
<persName>
<forename type="first">Emmanuel</forename>
<surname>Monfrini</surname>
</persName>
<email>emmanuel.monfrini@telecom-sudparis.eu</email>
<ptr type="url" target="http://www-public.it-sudparis.eu/~monfrini/"></ptr>
<idno type="halauthor">1326931</idno>
<affiliation ref="#struct-89901"></affiliation>
</author>
<editor role="depositor">
<persName>
<forename>Médiathèque</forename>
<surname>Télécom SudParis & Télécom Ecole de Management</surname>
</persName>
<email>publi-evry@mlistes.telecom-bretagne.eu</email>
</editor>
</titleStmt>
<editionStmt>
<edition n="v1" type="current">
<date type="whenSubmitted">2010-04-08 15:10:33</date>
<date type="whenModified">2016-05-18 09:01:16</date>
<date type="whenReleased">2010-04-09 07:47:14</date>
<date type="whenProduced">2009-06-30</date>
<date type="whenEndEmbargoed">2010-04-08</date>
<ref type="file" target="https://hal.archives-ouvertes.fr/hal-00471493/document">
<date notBefore="2010-04-08"></date>
</ref>
<ref type="file" subtype="author" n="1" target="https://hal.archives-ouvertes.fr/hal-00471493/file/GueMon09.pdf">
<date notBefore="2010-04-08"></date>
</ref>
</edition>
<respStmt>
<resp>contributor</resp>
<name key="142673">
<persName>
<forename>Médiathèque</forename>
<surname>Télécom SudParis & Télécom Ecole de Management</surname>
</persName>
<email>publi-evry@mlistes.telecom-bretagne.eu</email>
</name>
</respStmt>
</editionStmt>
<publicationStmt>
<distributor>CCSD</distributor>
<idno type="halId">hal-00471493</idno>
<idno type="halUri">https://hal.archives-ouvertes.fr/hal-00471493</idno>
<idno type="halBibtex">guermeur:hal-00471493</idno>
<idno type="halRefHtml">ASMDA 2009 : XIII International Conference Applied Stochastic Models and Data Analysis, Jun 2009, Vilnius, Lithuania. Proceedings ASMDA 2009 : XIII International Conference Applied Stochastic Models and Data Analysis, pp.1 - 6, 2009</idno>
<idno type="halRef">ASMDA 2009 : XIII International Conference Applied Stochastic Models and Data Analysis, Jun 2009, Vilnius, Lithuania. Proceedings ASMDA 2009 : XIII International Conference Applied Stochastic Models and Data Analysis, pp.1 - 6, 2009</idno>
</publicationStmt>
<seriesStmt>
<idno type="stamp" n="TELECOM-SUDPARIS" p="INSTITUT-TELECOM">Télécom SudParis</idno>
<idno type="stamp" n="INSTITUT-TELECOM">Institut Télécom</idno>
<idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
<idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
<idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</idno>
<idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
<idno type="stamp" n="LABO-LORIA-SET" p="LORIA">LABO-LORIA-SET</idno>
<idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno>
<idno type="stamp" n="LORIA2">Publications du LORIA</idno>
<idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
</seriesStmt>
<notesStmt>
<note type="audience" n="2">International</note>
<note type="invited" n="0">No</note>
<note type="popular" n="0">No</note>
<note type="peer" n="1">Yes</note>
<note type="proceedings" n="1">Yes</note>
</notesStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en">Radius-margin bound on the leave-one-out error of the LLW-M-SVM</title>
<author role="aut">
<persName>
<forename type="first">Yann</forename>
<surname>Guermeur</surname>
</persName>
<idno type="halAuthorId">478354</idno>
<affiliation ref="#struct-160"></affiliation>
</author>
<author role="aut">
<persName>
<forename type="first">Emmanuel</forename>
<surname>Monfrini</surname>
</persName>
<email>emmanuel.monfrini@telecom-sudparis.eu</email>
<ptr type="url" target="http://www-public.it-sudparis.eu/~monfrini/"></ptr>
<idno type="halAuthorId">1326931</idno>
<affiliation ref="#struct-89901"></affiliation>
</author>
</analytic>
<monogr>
<idno type="localRef">9208</idno>
<title level="m">Proceedings ASMDA 2009 : XIII International Conference Applied Stochastic Models and Data Analysis</title>
<meeting>
<title>ASMDA 2009 : XIII International Conference Applied Stochastic Models and Data Analysis</title>
<date type="start">2009-06-30</date>
<date type="end">2009-07-03</date>
<settlement>Vilnius</settlement>
<country key="LT">Lithuania</country>
</meeting>
<imprint>
<biblScope unit="pp">1 - 6</biblScope>
<date type="datePub">2009</date>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
<profileDesc>
<langUsage>
<language ident="en">English</language>
</langUsage>
<textClass>
<keywords scheme="author">
<term xml:lang="en">M-SVMs</term>
<term xml:lang="en">Model selection</term>
<term xml:lang="en">Leave-one-out error</term>
<term xml:lang="en">Radius-margin bound</term>
</keywords>
<classCode scheme="halDomain" n="math.math-st">Mathematics [math]/Statistics [math.ST]</classCode>
<classCode scheme="halTypology" n="COMM">Conference papers</classCode>
</textClass>
<abstract xml:lang="en">To set the values of the hyperparameters of a support vector machine (SVM), one can use cross-validation. Its leave-one-out variant produces an estimator of the generalization error which is almost unbiased. Its major drawback rests in its time requirement. To overcome this difficulty, several upper bounds on the leave-one-out error of the pattern recognition SVM have been derived. The most popular one is the radius-margin bound. In this article, we introduce a generalized radius-margin bound dedicated to the multi-class SVM of Lee, Lin and Wahba. </abstract>
</profileDesc>
</hal>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Hal/Curation
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 003F14 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Hal/Curation/biblio.hfd -nk 003F14 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Hal
   |étape=   Curation
   |type=    RBID
   |clé=     Hal:hal-00471493
   |texte=   Radius-margin bound on the leave-one-out error of the LLW-M-SVM
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022