View in EDS

Matrix recovery from permutations.

Saved in:
Bibliographic Details
Title: Matrix recovery from permutations.
Authors: Tsakiris, Manolis C.1 (AUTHOR) manolis@amss.ac.cn
Source: Applied & Computational Harmonic Analysis. Nov2024, Vol. 73, pN.PAG-N.PAG. 1p.
Subjects: Algebraic geometry, Commutative algebra, Principal components analysis, Data recovery, Permutations
Abstract: In data science, a number of applications have been emerging involving data recovery from permutations. Here, we study this problem theoretically for data organized in a rank-deficient matrix. Specifically, we give unique recovery guarantees for matrices of bounded rank that have undergone arbitrary permutations of their entries. We use methods and results of commutative algebra and algebraic geometry, for which we include a preparation for a general audience. [ABSTRACT FROM AUTHOR]
Copyright of Applied & Computational Harmonic Analysis is the property of Academic Press Inc. 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: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 179365252
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Matrix recovery from permutations.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Tsakiris%2C+Manolis+C%2E%22">Tsakiris, Manolis C.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> manolis@amss.ac.cn</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Applied+%26+Computational+Harmonic+Analysis%22">Applied & Computational Harmonic Analysis</searchLink>. Nov2024, Vol. 73, pN.PAG-N.PAG. 1p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Algebraic+geometry%22">Algebraic geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Commutative+algebra%22">Commutative algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Principal+components+analysis%22">Principal components analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Data+recovery%22">Data recovery</searchLink><br /><searchLink fieldCode="DE" term="%22Permutations%22">Permutations</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In data science, a number of applications have been emerging involving data recovery from permutations. Here, we study this problem theoretically for data organized in a rank-deficient matrix. Specifically, we give unique recovery guarantees for matrices of bounded rank that have undergone arbitrary permutations of their entries. We use methods and results of commutative algebra and algebraic geometry, for which we include a preparation for a general audience. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Applied & Computational Harmonic Analysis is the property of Academic Press Inc. 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=egs&AN=179365252
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.acha.2024.101688
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Algebraic geometry
        Type: general
      – SubjectFull: Commutative algebra
        Type: general
      – SubjectFull: Principal components analysis
        Type: general
      – SubjectFull: Data recovery
        Type: general
      – SubjectFull: Permutations
        Type: general
    Titles:
      – TitleFull: Matrix recovery from permutations.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Tsakiris, Manolis C.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 11
              Text: Nov2024
              Type: published
              Y: 2024
          Identifiers:
            – Type: issn-print
              Value: 10635203
          Numbering:
            – Type: volume
              Value: 73
          Titles:
            – TitleFull: Applied & Computational Harmonic Analysis
              Type: main
ResultId 1