Robust dimension-free Gram operator estimates

DOI10.3150/17-BEJ981zbMath1415.62012arXiv1511.06259OpenAlexW2962744698MaRDI QIDQ1750105

Ilaria Giulini

Publication date: 18 May 2018

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06259

zbMATH Keywords

robust estimationdimension-free boundsGram operatorPAC-Bayesian learning

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20) Nonparametric robustness (62G35) Nonparametric estimation (62G05)

Related Items (5)

User-friendly Introduction to PAC-Bayes Bounds ⋮ Dimension-free bounds for sums of independent matrices and simple tensors via the variational principle ⋮ Mean estimation in high dimension ⋮ Dimension-free bounds for sums of dependent matrices and operators with heavy-tailed distributions ⋮ Finite sample properties of parametric MMD estimation: robustness to misspecification and dependence

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• Random matrix approximation of spectra of integral operators
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• On the Eigenspectrum of the Gram Matrix and the Generalization Error of Kernel-PCA
• Learning Theory

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