Simultaneous Optimization of Weights and Structure of an RBF Neural Network

We propose here a new evolutionary algorithm, the RBF-Gene algorithm, to optimize Radial Basis Function Neural Networks. Unlike other works on this subject, our algorithm can evolve both the structure and the numerical parameters of the network: it is able to evolve the number of neurons and their w...

Full description

Saved in:
Bibliographic Details
Published inArtificial Evolution pp. 49 - 60
Main Authors Lefort, Virginie, Knibbe, Carole, Beslon, Guillaume, Favrel, Joël
Format Book Chapter
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg 2006
SeriesLecture Notes in Computer Science
Subjects
Genetic Algorithm
Genetic Code
Good Individual
Hide Neuron
Radial Basis Function Neural Network
Online AccessGet full text
ISBN3540335897
9783540335894
ISSN0302-9743
1611-3349
DOI10.1007/11740698_5

Cover

Abstract We propose here a new evolutionary algorithm, the RBF-Gene algorithm, to optimize Radial Basis Function Neural Networks. Unlike other works on this subject, our algorithm can evolve both the structure and the numerical parameters of the network: it is able to evolve the number of neurons and their weights. The RBF-Gene algorithm’s behavior is shown on a simple toy problem, the 2D sine wave. Results on a classical benchmark are then presented. They show that our algorithm is able to fit the data very well while keeping the structure simple – the solution can be applied generally.
AbstractList We propose here a new evolutionary algorithm, the RBF-Gene algorithm, to optimize Radial Basis Function Neural Networks. Unlike other works on this subject, our algorithm can evolve both the structure and the numerical parameters of the network: it is able to evolve the number of neurons and their weights. The RBF-Gene algorithm’s behavior is shown on a simple toy problem, the 2D sine wave. Results on a classical benchmark are then presented. They show that our algorithm is able to fit the data very well while keeping the structure simple – the solution can be applied generally.
Author Beslon, Guillaume
Favrel, Joël
Lefort, Virginie
Knibbe, Carole
Author_xml – sequence: 1
  givenname: Virginie
  surname: Lefort
  fullname: Lefort, Virginie
  email: virginie.lefort@insa-lyon.fr
  organization: INSA-IF/PRISMa, Villeurbanne, France
– sequence: 2
  givenname: Carole
  surname: Knibbe
  fullname: Knibbe, Carole
  organization: INSA-IF/PRISMa, Villeurbanne, France
– sequence: 3
  givenname: Guillaume
  surname: Beslon
  fullname: Beslon, Guillaume
  organization: INSA-IF/PRISMa, Villeurbanne, France
– sequence: 4
  givenname: Joël
  surname: Favrel
  fullname: Favrel, Joël
  organization: INSA-IF/PRISMa, Villeurbanne, France
BookMark eNpFkE1Lw0AURUetYFu78Rdk6Sb6Xl7ma6liVSwWrOIyTJJJjW1nSmaC4K-3RdELl7s4cBdnxAbOO8vYGcIFAshLRJmD0KrgB2xEPAcirgEO2RAFYkqU66M_oLQcsCEQZKmWOZ2wSQgfsAuhIFJD9rhoN_06Gmd9H5L5Nrab9svE1rvEN8mbbZfvMSTG1ckidn0V-87ugXHJ8_U0ebJ9Z9a7iZ--W52y48asg5387pi9Tm9fbu7T2fzu4eZqlgYE4qk2tjYVaqx3VSXlNlOZlkYhQWkqqhspMNOgSoAqKxsjqax4xk3DqRZC0Jid__yGbde6pe2K0vtVKBCKvaHi3xB9A4L4VK4
ContentType Book Chapter
Copyright Springer-Verlag Berlin Heidelberg 2006
Copyright_xml – notice: Springer-Verlag Berlin Heidelberg 2006
DOI 10.1007/11740698_5
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Computer Science
EISBN 3540335900
9783540335900
EISSN 1611-3349
Editor Collet, Pierre
Schoenauer, Marc
Liardet, Pierre
Lutton, Evelyne
Talbi, El-Ghazali
Editor_xml – sequence: 1
  givenname: El-Ghazali
  surname: Talbi
  fullname: Talbi, El-Ghazali
  email: El-Ghazali.Talbi@lifl.fr
– sequence: 2
  givenname: Pierre
  surname: Liardet
  fullname: Liardet, Pierre
  email: liardet@cmi.univ-mrs.fr
– sequence: 3
  givenname: Pierre
  surname: Collet
  fullname: Collet, Pierre
  email: pierre.collet@lsiit.u-strasbg.fr
– sequence: 4
  givenname: Evelyne
  surname: Lutton
  fullname: Lutton, Evelyne
  email: Evelyne.Lutton@inria.fr
– sequence: 5
  givenname: Marc
  surname: Schoenauer
  fullname: Schoenauer, Marc
  email: Marc.Schoenauer@inria.fr
EndPage 60
GroupedDBID -DT
-GH
-~X
1SB
29L
2HA
2HV
5QI
875
AASHB
ABMNI
ACGFS
ADCXD
AEFIE
ALMA_UNASSIGNED_HOLDINGS
EJD
F5P
FEDTE
HVGLF
LAS
LDH
P2P
RIG
RNI
RSU
SVGTG
VI1
~02
ID FETCH-LOGICAL-s1035-9aedac191d1918b34e28297a8130bac3df7612908b00c2bfa73bc525af53d6663
ISBN 3540335897
9783540335894
ISSN 0302-9743
IngestDate Tue Jul 29 20:08:43 EDT 2025
IsPeerReviewed false
IsScholarly false
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-s1035-9aedac191d1918b34e28297a8130bac3df7612908b00c2bfa73bc525af53d6663
PageCount 12
ParticipantIDs springer_books_10_1007_11740698_5
PublicationCentury 2000
PublicationDate 2006
PublicationDateYYYYMMDD 2006-01-01
PublicationDate_xml – year: 2006
  text: 2006
PublicationDecade 2000
PublicationPlace Berlin, Heidelberg
PublicationPlace_xml – name: Berlin, Heidelberg
PublicationSeriesTitle Lecture Notes in Computer Science
PublicationSubtitle 7th International Conference, Evolution Artificielle, EA 2005, Lille, France, October 26-28, 2005, Revised Selected Papers
PublicationTitle Artificial Evolution
PublicationYear 2006
Publisher Springer Berlin Heidelberg
Publisher_xml – name: Springer Berlin Heidelberg
RelatedPersons Kleinberg, Jon M.
Mattern, Friedemann
Nierstrasz, Oscar
Tygar, Dough
Steffen, Bernhard
Kittler, Josef
Vardi, Moshe Y.
Weikum, Gerhard
Sudan, Madhu
Naor, Moni
Mitchell, John C.
Terzopoulos, Demetri
Pandu Rangan, C.
Kanade, Takeo
Hutchison, David
RelatedPersons_xml – sequence: 1
  givenname: David
  surname: Hutchison
  fullname: Hutchison, David
  organization: Lancaster University, UK
– sequence: 2
  givenname: Takeo
  surname: Kanade
  fullname: Kanade, Takeo
  organization: Carnegie Mellon University, Pittsburgh, USA
– sequence: 3
  givenname: Josef
  surname: Kittler
  fullname: Kittler, Josef
  organization: University of Surrey, Guildford, UK
– sequence: 4
  givenname: Jon M.
  surname: Kleinberg
  fullname: Kleinberg, Jon M.
  organization: Cornell University, Ithaca, USA
– sequence: 5
  givenname: Friedemann
  surname: Mattern
  fullname: Mattern, Friedemann
  organization: ETH Zurich, Switzerland
– sequence: 6
  givenname: John C.
  surname: Mitchell
  fullname: Mitchell, John C.
  organization: Stanford University, CA, USA
– sequence: 7
  givenname: Moni
  surname: Naor
  fullname: Naor, Moni
  organization: Weizmann Institute of Science, Rehovot, Israel
– sequence: 8
  givenname: Oscar
  surname: Nierstrasz
  fullname: Nierstrasz, Oscar
  organization: University of Bern, Switzerland
– sequence: 9
  givenname: C.
  surname: Pandu Rangan
  fullname: Pandu Rangan, C.
  organization: Indian Institute of Technology, Madras, India
– sequence: 10
  givenname: Bernhard
  surname: Steffen
  fullname: Steffen, Bernhard
  organization: University of Dortmund, Germany
– sequence: 11
  givenname: Madhu
  surname: Sudan
  fullname: Sudan, Madhu
  organization: Massachusetts Institute of Technology, MA, USA
– sequence: 12
  givenname: Demetri
  surname: Terzopoulos
  fullname: Terzopoulos, Demetri
  organization: University of California, Los Angeles, USA
– sequence: 13
  givenname: Dough
  surname: Tygar
  fullname: Tygar, Dough
  organization: University of California, Berkeley, USA
– sequence: 14
  givenname: Moshe Y.
  surname: Vardi
  fullname: Vardi, Moshe Y.
  organization: Rice University, Houston, USA
– sequence: 15
  givenname: Gerhard
  surname: Weikum
  fullname: Weikum, Gerhard
  organization: Max-Planck Institute of Computer Science, Saarbruecken, Germany
SSID ssj0000316338
ssj0002792
Score 1.3205106
Snippet We propose here a new evolutionary algorithm, the RBF-Gene algorithm, to optimize Radial Basis Function Neural Networks. Unlike other works on this subject,...
SourceID springer
SourceType Publisher
StartPage 49
SubjectTerms Genetic Algorithm
Genetic Code
Good Individual
Hide Neuron
Radial Basis Function Neural Network
Title Simultaneous Optimization of Weights and Structure of an RBF Neural Network
URI http://link.springer.com/10.1007/11740698_5
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1bS8MwFA5zIogP3vFOBN9GZV3WSx5VNmXqBO9vI0lTKWgHbvPBJ3-65zTpxQuiPqxsbVmTfMnpybl8h5C9SLFW7Hvc4aEfOzAphMO9pnCkiGLlcqlcjcnJ533_5Kbdu_fua7W3StTSZCz31eu3eSX_QRXOAa6YJfsHZIs_hRPwHfCFIyAMx0_K70czq-WMzcJ80OLdebGPKcNrYlsh_jZ5fkjSpIDvNE2k1EWoR-lT1yPrgD-eYCGiyVNxqSteno0vvzfM_OqHj9WJdpVgUKJINQbTXoAEerKpnaiH3mWWV8MDfZVR1aLDAmMP0sblYbeB3CDQgb4JRjciDqmXR9AFc29_OM5ixhp5_YlcHP1or8jtlY0f6LysOYoxLzQVkPMML5DesP8xAlEbge0jDSMztKdWCNsf5nVuqhV8eVGY2BAX9mNNn4cDb4pMBWG7TqYPOr2z28JKByLPZ6zkn0e6ReOXMi2x2UJZS4OZwpBmWl5hwy0f9MXjniky1wtkDpNbKGadwFAukppOl8h8PrTUDu0yOa2iSquo0mFMLaoUUKUFqnhBpBRQpQZValFdITfdzvXRiWPrbjgjFxlMudCRgIXqRvAJJWtrdLcHIgR9RwrFojjw0XwZgshWLRmLgEnlwTKPPRbBdpitkno6TPUaodxXoCGKZqSkxkhmifyO3G0FoQBVVfJ1spuPxgBX0miQ02iXI7bxi3s2yWw517ZIHbqut0FbHMsdC-k7uDxk0Q
linkProvider Library Specific Holdings
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.title=Artificial+Evolution&rft.au=Lefort%2C+Virginie&rft.au=Knibbe%2C+Carole&rft.au=Beslon%2C+Guillaume&rft.au=Favrel%2C+Jo%C3%ABl&rft.atitle=Simultaneous+Optimization+of+Weights+and+Structure+of+an+RBF+Neural+Network&rft.series=Lecture+Notes+in+Computer+Science&rft.date=2006-01-01&rft.pub=Springer+Berlin+Heidelberg&rft.isbn=9783540335894&rft.issn=0302-9743&rft.eissn=1611-3349&rft.spage=49&rft.epage=60&rft_id=info:doi/10.1007%2F11740698_5
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0302-9743&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0302-9743&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0302-9743&client=summon