Exact representation of the second-order moments for resubstitution and leave-one-out error estimation for linear discriminant analysis in the univariate heteroskedastic Gaussian model

DOI10.1016/j.patcog.2011.08.006zbMath1225.68227OpenAlexW2117691770MaRDI QIDQ645923

Edward R. Dougherty, Amin Zollanvari, Ulisses M. Braga-Neto

Publication date: 10 November 2011

Published in: Pattern Recognition (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.patcog.2011.08.006

zbMATH Keywords

error estimationleave-one-outgenomicslinear discriminant analysisheteroskedasticityresubstitutionRMS

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Learning and adaptive systems in artificial intelligence (68T05)

Related Items (4)

Moments and root-mean-square error of the Bayesian MMSE estimator of classification error in the Gaussian model ⋮ Classifier design given an uncertainty class of feature distributions via regularized maximum likelihood and the incorporation of biological pathway knowledge in steady-state phenotype classification ⋮ Optimal mean-square-error calibration of classifier error estimators under Bayesian models ⋮ Analytical study of performance of linear discriminant analysis in stochastic settings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Additive estimators for probabilities of correct classification
• On the sampling distribution of resubstitution and leave-one-out error estimators for linear classifiers
• Exact performance of error estimators for discrete classifiers
• Distribution-free performance bounds for potential function rules
• On Dimensionality, Sample Size, Classification Error, and Complexity of Classification Algorithm in Pattern Recognition
• On the Problem of Bias in Multinomial Classification
• Distribution-free inequalities for the deleted and holdout error estimates
• AN ASYMPTOTIC EXPANSION OF THE EXPECTATION OF THE ESTIMATED ERROR RATE IN DISCRIMINANT ANALYSIS1
• Joint Sampling Distribution Between Actual and Estimated Classification Errors for Linear Discriminant Analysis
• Considerations of sample and feature size

This page was built for publication: Exact representation of the second-order moments for resubstitution and leave-one-out error estimation for linear discriminant analysis in the univariate heteroskedastic Gaussian model