Multi-dimensional Function Approximation and Regression Estimation View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2002-08-21

AUTHORS

Fernando Pérez-Cruz , Gustavo Camps-Valls , Emilio Soria-Olivas , Juan José Pérez-Ruixo , Aníbal R. Figueiras-Vidal , Antonio Artés-Rodríguez

ABSTRACT

In this communication, we generalize the Support Vector Machines (SVM) for regression estimation and function approximation to multi-dimensional problems. We propose a multi-dimensional Support Vector Regressor (MSVR) that uses a cost function with a hyperspherical insensitive zone, capable of obtaining better predictions than using an SVM independently for each dimension. The resolution of the MSVR is achieved by an iterative procedure over the Karush-Kuhn-Tucker conditions. The proposed algorithm is illustrated by computers experiments. More... »

PAGES

757-762

Book

TITLE

Artificial Neural Networks — ICANN 2002

ISBN

978-3-540-44074-1
978-3-540-46084-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/3-540-46084-5_123

DOI

http://dx.doi.org/10.1007/3-540-46084-5_123

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1024094704


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0801", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Artificial Intelligence and Image Processing", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/08", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Information and Computing Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Carlos III University of Madrid", 
          "id": "https://www.grid.ac/institutes/grid.7840.b", 
          "name": [
            "Department of Signal Theory and Communications, University Carlos III, Avda. Universidad 30, 28911, Legan\u00e9s, (Madrid), SPAIN"
          ], 
          "type": "Organization"
        }, 
        "familyName": "P\u00e9rez-Cruz", 
        "givenName": "Fernando", 
        "id": "sg:person.016363577525.33", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016363577525.33"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Grup de Processament digital de Senyals, Universitat de, Val\u00e8ncia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Camps-Valls", 
        "givenName": "Gustavo", 
        "id": "sg:person.0675165263.18", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675165263.18"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Grup de Processament digital de Senyals, Universitat de, Val\u00e8ncia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Soria-Olivas", 
        "givenName": "Emilio", 
        "id": "sg:person.0767621561.31", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0767621561.31"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Hospital Universitario Doctor Peset", 
          "id": "https://www.grid.ac/institutes/grid.411289.7", 
          "name": [
            "Servei de Farm\u00e0cia, Hospital Universitari Dr. Peset, Val\u00e8ncia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "P\u00e9rez-Ruixo", 
        "givenName": "Juan Jos\u00e9", 
        "id": "sg:person.0715047075.55", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0715047075.55"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Hospital Universitario Doctor Peset", 
          "id": "https://www.grid.ac/institutes/grid.411289.7", 
          "name": [
            "Servei de Farm\u00e0cia, Hospital Universitari Dr. Peset, Val\u00e8ncia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Figueiras-Vidal", 
        "givenName": "An\u00edbal R.", 
        "id": "sg:person.01000104276.70", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01000104276.70"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Carlos III University of Madrid", 
          "id": "https://www.grid.ac/institutes/grid.7840.b", 
          "name": [
            "Department of Signal Theory and Communications, University Carlos III, Avda. Universidad 30, 28911, Legan\u00e9s, (Madrid), SPAIN"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Art\u00e9s-Rodr\u00edguez", 
        "givenName": "Antonio", 
        "id": "sg:person.016405316123.77", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016405316123.77"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2002-08-21", 
    "datePublishedReg": "2002-08-21", 
    "description": "In this communication, we generalize the Support Vector Machines (SVM) for regression estimation and function approximation to multi-dimensional problems. We propose a multi-dimensional Support Vector Regressor (MSVR) that uses a cost function with a hyperspherical insensitive zone, capable of obtaining better predictions than using an SVM independently for each dimension. The resolution of the MSVR is achieved by an iterative procedure over the Karush-Kuhn-Tucker conditions. The proposed algorithm is illustrated by computers experiments.", 
    "editor": [
      {
        "familyName": "Dorronsoro", 
        "givenName": "Jos\u00e9 R.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/3-540-46084-5_123", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-540-44074-1", 
        "978-3-540-46084-8"
      ], 
      "name": "Artificial Neural Networks \u2014 ICANN 2002", 
      "type": "Book"
    }, 
    "name": "Multi-dimensional Function Approximation and Regression Estimation", 
    "pagination": "757-762", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/3-540-46084-5_123"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "72cad280d4d38c831a21a110e40b9c26c6a8594b81e74a7b8a33856037cebd15"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1024094704"
        ]
      }
    ], 
    "publisher": {
      "location": "Berlin, Heidelberg", 
      "name": "Springer Berlin Heidelberg", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/3-540-46084-5_123", 
      "https://app.dimensions.ai/details/publication/pub.1024094704"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-16T05:37", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000346_0000000346/records_99839_00000001.jsonl", 
    "type": "Chapter", 
    "url": "https://link.springer.com/10.1007%2F3-540-46084-5_123"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/3-540-46084-5_123'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/3-540-46084-5_123'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/3-540-46084-5_123'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/3-540-46084-5_123'


 

This table displays all metadata directly associated to this object as RDF triples.

107 TRIPLES      22 PREDICATES      26 URIs      19 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/3-540-46084-5_123 schema:about anzsrc-for:08
2 anzsrc-for:0801
3 schema:author N405206ae39824b62808252e758c56bdd
4 schema:datePublished 2002-08-21
5 schema:datePublishedReg 2002-08-21
6 schema:description In this communication, we generalize the Support Vector Machines (SVM) for regression estimation and function approximation to multi-dimensional problems. We propose a multi-dimensional Support Vector Regressor (MSVR) that uses a cost function with a hyperspherical insensitive zone, capable of obtaining better predictions than using an SVM independently for each dimension. The resolution of the MSVR is achieved by an iterative procedure over the Karush-Kuhn-Tucker conditions. The proposed algorithm is illustrated by computers experiments.
7 schema:editor Nec1e836f66124b418ad8dcda410e32c6
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf Na0bd36c5ca6244c9a16d5291e8abeb48
12 schema:name Multi-dimensional Function Approximation and Regression Estimation
13 schema:pagination 757-762
14 schema:productId N2eff71184650407fa0d7ffec78d7472e
15 N395211db94ed4f7c9b04c7160b49805e
16 N3ff7e97ed3b141df87e87375c5868826
17 schema:publisher N154911c4038b43d2b7d204908300f182
18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024094704
19 https://doi.org/10.1007/3-540-46084-5_123
20 schema:sdDatePublished 2019-04-16T05:37
21 schema:sdLicense https://scigraph.springernature.com/explorer/license/
22 schema:sdPublisher Ncfc38f9453ff4b3c9c73725c7031c888
23 schema:url https://link.springer.com/10.1007%2F3-540-46084-5_123
24 sgo:license sg:explorer/license/
25 sgo:sdDataset chapters
26 rdf:type schema:Chapter
27 N0890e1906d1e484b9e866288563c2039 rdf:first sg:person.016405316123.77
28 rdf:rest rdf:nil
29 N121d5b4df87c42d5bc09b18e963b4b52 rdf:first sg:person.01000104276.70
30 rdf:rest N0890e1906d1e484b9e866288563c2039
31 N154911c4038b43d2b7d204908300f182 schema:location Berlin, Heidelberg
32 schema:name Springer Berlin Heidelberg
33 rdf:type schema:Organisation
34 N2eff71184650407fa0d7ffec78d7472e schema:name readcube_id
35 schema:value 72cad280d4d38c831a21a110e40b9c26c6a8594b81e74a7b8a33856037cebd15
36 rdf:type schema:PropertyValue
37 N30755fa7cc914b72ba7095f5d345b8c8 schema:name Grup de Processament digital de Senyals, Universitat de, València
38 rdf:type schema:Organization
39 N3179dc7ac6f64a6e89955cdf71c253d6 rdf:first sg:person.0675165263.18
40 rdf:rest N6680ccff4c3e4275b1e4a28ed2034884
41 N395211db94ed4f7c9b04c7160b49805e schema:name doi
42 schema:value 10.1007/3-540-46084-5_123
43 rdf:type schema:PropertyValue
44 N3ff7e97ed3b141df87e87375c5868826 schema:name dimensions_id
45 schema:value pub.1024094704
46 rdf:type schema:PropertyValue
47 N405206ae39824b62808252e758c56bdd rdf:first sg:person.016363577525.33
48 rdf:rest N3179dc7ac6f64a6e89955cdf71c253d6
49 N6680ccff4c3e4275b1e4a28ed2034884 rdf:first sg:person.0767621561.31
50 rdf:rest N69b50c76c15a47b0946151c5b7b13ca9
51 N69b50c76c15a47b0946151c5b7b13ca9 rdf:first sg:person.0715047075.55
52 rdf:rest N121d5b4df87c42d5bc09b18e963b4b52
53 Na0bd36c5ca6244c9a16d5291e8abeb48 schema:isbn 978-3-540-44074-1
54 978-3-540-46084-8
55 schema:name Artificial Neural Networks — ICANN 2002
56 rdf:type schema:Book
57 Nac1b91815e734c6abf93c033b448e7d0 schema:familyName Dorronsoro
58 schema:givenName José R.
59 rdf:type schema:Person
60 Ncdb21f4cf1914d569e64246aa0f1fbc8 schema:name Grup de Processament digital de Senyals, Universitat de, València
61 rdf:type schema:Organization
62 Ncfc38f9453ff4b3c9c73725c7031c888 schema:name Springer Nature - SN SciGraph project
63 rdf:type schema:Organization
64 Nec1e836f66124b418ad8dcda410e32c6 rdf:first Nac1b91815e734c6abf93c033b448e7d0
65 rdf:rest rdf:nil
66 anzsrc-for:08 schema:inDefinedTermSet anzsrc-for:
67 schema:name Information and Computing Sciences
68 rdf:type schema:DefinedTerm
69 anzsrc-for:0801 schema:inDefinedTermSet anzsrc-for:
70 schema:name Artificial Intelligence and Image Processing
71 rdf:type schema:DefinedTerm
72 sg:person.01000104276.70 schema:affiliation https://www.grid.ac/institutes/grid.411289.7
73 schema:familyName Figueiras-Vidal
74 schema:givenName Aníbal R.
75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01000104276.70
76 rdf:type schema:Person
77 sg:person.016363577525.33 schema:affiliation https://www.grid.ac/institutes/grid.7840.b
78 schema:familyName Pérez-Cruz
79 schema:givenName Fernando
80 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016363577525.33
81 rdf:type schema:Person
82 sg:person.016405316123.77 schema:affiliation https://www.grid.ac/institutes/grid.7840.b
83 schema:familyName Artés-Rodríguez
84 schema:givenName Antonio
85 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016405316123.77
86 rdf:type schema:Person
87 sg:person.0675165263.18 schema:affiliation Ncdb21f4cf1914d569e64246aa0f1fbc8
88 schema:familyName Camps-Valls
89 schema:givenName Gustavo
90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675165263.18
91 rdf:type schema:Person
92 sg:person.0715047075.55 schema:affiliation https://www.grid.ac/institutes/grid.411289.7
93 schema:familyName Pérez-Ruixo
94 schema:givenName Juan José
95 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0715047075.55
96 rdf:type schema:Person
97 sg:person.0767621561.31 schema:affiliation N30755fa7cc914b72ba7095f5d345b8c8
98 schema:familyName Soria-Olivas
99 schema:givenName Emilio
100 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0767621561.31
101 rdf:type schema:Person
102 https://www.grid.ac/institutes/grid.411289.7 schema:alternateName Hospital Universitario Doctor Peset
103 schema:name Servei de Farmàcia, Hospital Universitari Dr. Peset, València
104 rdf:type schema:Organization
105 https://www.grid.ac/institutes/grid.7840.b schema:alternateName Carlos III University of Madrid
106 schema:name Department of Signal Theory and Communications, University Carlos III, Avda. Universidad 30, 28911, Leganés, (Madrid), SPAIN
107 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...