INFLUENCE FUNCTIONS FOR DIMENSION REDUCTION METHODS

DOI10.1017/S0004972720001161zbMath1466.62338OpenAlexW3097820639MaRDI QIDQ4989458

Jodie A. Smith

Publication date: 25 May 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720001161

zbMATH Keywords

dimension reductioninfluential observationslinear discriminant analysisinfluence functionssliced inverse regressionprincipal Hessian directionsinfluence analysiseigen-subspace

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Cites Work

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• Sensitivity of principal Hessian direction analysis
• Influence Functions for Dimension Reduction Methods: An Example Influence Study of Principal Hessian Direction Analysis
• Sliced Inverse Regression for Dimension Reduction
• On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma
• The Influence Curve and Its Role in Robust Estimation
• The curse of dimensionality -- a challenge for mathematical statistics

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