<?xml version="1.0" encoding="UTF-8"?>
<collection xmlns="http://www.loc.gov/MARC21/slim">
 <record>
  <leader>     caa a22        4500</leader>
  <controlfield tag="001">475801040</controlfield>
  <controlfield tag="003">CHVBK</controlfield>
  <controlfield tag="005">20180406123737.0</controlfield>
  <controlfield tag="007">cr unu---uuuuu</controlfield>
  <controlfield tag="008">170329e20000201xx      s     000 0 eng  </controlfield>
  <datafield tag="024" ind1="7" ind2="0">
   <subfield code="a">10.1023/A:1009628031942</subfield>
   <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="035" ind1=" " ind2=" ">
   <subfield code="a">(NATIONALLICENCE)springer-10.1023/A:1009628031942</subfield>
  </datafield>
  <datafield tag="245" ind1="0" ind2="2">
   <subfield code="a">A Minimax Method for Learning Functional Networks</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[E. Castillo, J. Gutiírrez, A. Cobo, C. Castillo]</subfield>
  </datafield>
  <datafield tag="520" ind1="3" ind2=" ">
   <subfield code="a">In this paper, a minimax method for learning functional networks is presented. The idea of the method is to minimize themaximum absolute error between predicted and observed values. In addition, the invertible functions appearing in the modelare assumed to be linear convex combinations of invertible functions. This guarantees the invertibilityof the resulting approximations. The learning method leads to a linear programming problem and then: (a) the solution isobtained in a finite number of iterations, and (b) the global optimum is attained. The method is illustrated withseveral examples of applications, including the Hénon and Lozi series. The results show that the method outperforms standard least squares direct methods.</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">Kluwer Academic Publishers, 2000</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">functional equations</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">functional networks</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">learning</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">neural networks</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Castillo</subfield>
   <subfield code="D">E.</subfield>
   <subfield code="u">Department of Applied Mathematics and Computational Sciences, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Gutiírrez</subfield>
   <subfield code="D">J.</subfield>
   <subfield code="u">Department of Applied Mathematics and Computational Sciences, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Cobo</subfield>
   <subfield code="D">A.</subfield>
   <subfield code="u">Department of Applied Mathematics and Computational Sciences, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Castillo</subfield>
   <subfield code="D">C.</subfield>
   <subfield code="u">Ocean and Coastal Research Group, University of Cantabria, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Neural Processing Letters</subfield>
   <subfield code="d">Kluwer Academic Publishers</subfield>
   <subfield code="g">11/1(2000-02-01), 39-49</subfield>
   <subfield code="x">1370-4621</subfield>
   <subfield code="q">11:1&lt;39</subfield>
   <subfield code="1">2000</subfield>
   <subfield code="2">11</subfield>
   <subfield code="o">11063</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2="0">
   <subfield code="u">https://doi.org/10.1023/A:1009628031942</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="908" ind1=" " ind2=" ">
   <subfield code="D">1</subfield>
   <subfield code="a">research-article</subfield>
   <subfield code="2">jats</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">856</subfield>
   <subfield code="E">40</subfield>
   <subfield code="u">https://doi.org/10.1023/A:1009628031942</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Castillo</subfield>
   <subfield code="D">E.</subfield>
   <subfield code="u">Department of Applied Mathematics and Computational Sciences, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Gutiírrez</subfield>
   <subfield code="D">J.</subfield>
   <subfield code="u">Department of Applied Mathematics and Computational Sciences, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Cobo</subfield>
   <subfield code="D">A.</subfield>
   <subfield code="u">Department of Applied Mathematics and Computational Sciences, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Castillo</subfield>
   <subfield code="D">C.</subfield>
   <subfield code="u">Ocean and Coastal Research Group, University of Cantabria, Spain</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">773</subfield>
   <subfield code="E">0-</subfield>
   <subfield code="t">Neural Processing Letters</subfield>
   <subfield code="d">Kluwer Academic Publishers</subfield>
   <subfield code="g">11/1(2000-02-01), 39-49</subfield>
   <subfield code="x">1370-4621</subfield>
   <subfield code="q">11:1&lt;39</subfield>
   <subfield code="1">2000</subfield>
   <subfield code="2">11</subfield>
   <subfield code="o">11063</subfield>
  </datafield>
  <datafield tag="900" ind1=" " ind2="7">
   <subfield code="a">Metadata rights reserved</subfield>
   <subfield code="b">Springer special CC-BY-NC licence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="898" ind1=" " ind2=" ">
   <subfield code="a">BK010053</subfield>
   <subfield code="b">XK010053</subfield>
   <subfield code="c">XK010000</subfield>
  </datafield>
  <datafield tag="949" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="F">NATIONALLICENCE</subfield>
   <subfield code="b">NL-springer</subfield>
  </datafield>
 </record>
</collection>
