A linear fit gets the correct monotonicity directions

DOI10.1007/s10994-007-5028-4zbMath1473.62241OpenAlexW2113395063MaRDI QIDQ1009229

Malik Magdon-Ismail, Joseph Sill

Publication date: 31 March 2009

Published in: Machine Learning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10994-007-5028-4

zbMATH Keywords

learningregressionorder constraintssample complexityisotonichints

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Order statistics; empirical distribution functions (62G30) Learning and adaptive systems in artificial intelligence (68T05)

Related Items (2)

When Learning Naive Bayesian Classifiers Preserves Monotonicity ⋮ Multivariate Student-\(t\) self-organizing maps

Cites Work

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• Monotone nonparametric regression
• Estimation of the mean of a multivariate normal distribution
• Estimating a smooth monotone regression function
• The capacity of monotonic functions
• Likelihood ratio tests for monotone functions.
• Feasible Nonparametric Estimation of Multiargument Monotone Functions
• Estimating the distance to a monotone function
• Testing monotonicity

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