Mean estimation in high dimension

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  • dc.contributor.author Lugosi, Gábor
  • dc.date.accessioned 2025-05-27T06:54:56Z
  • dc.date.available 2025-05-27T06:54:56Z
  • dc.date.issued 2022
  • dc.description.abstract In this note we discuss the statistical problem of estimating the mean of a random vector based on independent, identically distributed data. This classical problem has recently attracted a lot of attention both in mathematical statistics and in theoretical computer science and numerous intricacies have been revealed. We discuss some of the recent advances, focusing on high-dimensional aspects.en
  • dc.description.sponsorship This work was supported by the Spanish Ministry of Economy and Competitiveness, Grant PGC2018-101643-B-I00 and by “Google Focused Award Algorithms and Learning for AI”.en
  • dc.format.mimetype application/pdf
  • dc.identifier.citation Lugosi G. Mean estimation in high dimension. In: Beliaev D, Smirnov S, editors. International Congress of Mathematicians: 2022 Jul 6-14. Berlin: International Mathematical Union; 2023. p. 5500-14. DOI: 10.4171/ICM2022/75
  • dc.identifier.doi http://dx.doi.org/10.4171/ICM2022/75
  • dc.identifier.isbn 9783985470655
  • dc.identifier.uri http://hdl.handle.net/10230/70521
  • dc.language.iso eng
  • dc.publisher EMS Press
  • dc.relation.ispartof Beliaev D, Smirnov S, editors. International Congress of Mathematicians: 2022 Jul 6-14. Berlin: International Mathematical Union; 2023. p. 5500-14
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/PGC2018-101643-B-I00
  • dc.rights Published by EMS Press and licensed under a CC BY 4.0 license.
  • dc.rights.accessRights info:eu-repo/semantics/openAccess
  • dc.rights.uri http://creativecommons.org/licenses/by/4.0/
  • dc.subject.keyword Mean estimationen
  • dc.subject.keyword Robustnessen
  • dc.subject.keyword High-dimensional statisticsen
  • dc.title Mean estimation in high dimensionen
  • dc.type info:eu-repo/semantics/bookPart
  • dc.type.version info:eu-repo/semantics/publishedVersion