Regularization Techniques and Suboptimal Solutions to Optimization Problems in Learning from Data.

Saved in:
Bibliographic Details
Title: Regularization Techniques and Suboptimal Solutions to Optimization Problems in Learning from Data.
Authors: Gnecco, Giorgio
Source: Neural Computation. Mar2010, Vol. 22 Issue 3, p793-829. 37p. 1 Chart.
Subjects: Hilbert space, Structural optimization, Approximation theory, Systemic memory hypothesis, Automatic hypothesis formation, Experimental design
Abstract: Various regularization techniques are investigated in supervised learning from data. Theoretical features of the associated optimization problems are studied, and sparse suboptimal solutions are searched for. Rates of approximate optimization are estimated for sequences of suboptimal solutions formed by linear combinations of n-tuples of computational units, and statistical learning bounds are derived. As hypothesis sets, reproducing kernel Hilbert spaces and their subsets are considered. [ABSTRACT FROM AUTHOR]
Copyright of Neural Computation is the property of MIT Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Psychology and Behavioral Sciences Collection
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: pbh
DbLabel: Psychology and Behavioral Sciences Collection
An: 48046229
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Regularization Techniques and Suboptimal Solutions to Optimization Problems in Learning from Data.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Gnecco%2C+Giorgio%22">Gnecco, Giorgio</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Neural+Computation%22">Neural Computation</searchLink>. Mar2010, Vol. 22 Issue 3, p793-829. 37p. 1 Chart.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+optimization%22">Structural optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Systemic+memory+hypothesis%22">Systemic memory hypothesis</searchLink><br /><searchLink fieldCode="DE" term="%22Automatic+hypothesis+formation%22">Automatic hypothesis formation</searchLink><br /><searchLink fieldCode="DE" term="%22Experimental+design%22">Experimental design</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Various regularization techniques are investigated in supervised learning from data. Theoretical features of the associated optimization problems are studied, and sparse suboptimal solutions are searched for. Rates of approximate optimization are estimated for sequences of suboptimal solutions formed by linear combinations of n-tuples of computational units, and statistical learning bounds are derived. As hypothesis sets, reproducing kernel Hilbert spaces and their subsets are considered. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Neural Computation is the property of MIT Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=pbh&AN=48046229
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1162/neco.2009.05-08-786
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 37
        StartPage: 793
    Subjects:
      – SubjectFull: Hilbert space
        Type: general
      – SubjectFull: Structural optimization
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Systemic memory hypothesis
        Type: general
      – SubjectFull: Automatic hypothesis formation
        Type: general
      – SubjectFull: Experimental design
        Type: general
    Titles:
      – TitleFull: Regularization Techniques and Suboptimal Solutions to Optimization Problems in Learning from Data.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Gnecco, Giorgio
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 03
              Text: Mar2010
              Type: published
              Y: 2010
          Identifiers:
            – Type: issn-print
              Value: 08997667
          Numbering:
            – Type: volume
              Value: 22
            – Type: issue
              Value: 3
          Titles:
            – TitleFull: Neural Computation
              Type: main
ResultId 1