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Discussion of ``On concentration for (regularized) empirical risk minimization by Sara van de Geer and Martin Wainwright

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Publication:1688424
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DOI10.1007/s13171-017-0113-7zbMath1380.62076OpenAlexW2753130570MaRDI QIDQ1688424

Stéphane Boucheron

Publication date: 5 January 2018

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-017-0113-7

zbMATH Keywords

penalizationconcentration inequalitiesWilks phenomenonrisk estimates


Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)




Cites Work

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  • A new perspective on least squares under convex constraint
  • Statistics for high-dimensional data. Methods, theory and applications.
  • Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution
  • A high-dimensional Wilks phenomenon
  • Risk bounds for statistical learning
  • On concentration for (regularized) empirical risk minimization
  • Optimal model selection in heteroscedastic regression using piecewise polynomial functions
  • Local Rademacher complexities and oracle inequalities in risk minimization. (2004 IMS Medallion Lecture). (With discussions and rejoinder)
  • Towards the study of least squares estimators with convex penalty
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