A mathematical programming approach to clusterwise regression model and its extensions

DOI10.1016/S0377-2217(98)00052-6zbMath0993.62052OpenAlexW2063960597MaRDI QIDQ1610186

Ka-kit Tse, Pui Lam Leung, Kin-Nam Lau

Publication date: 18 August 2002

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(98)00052-6

zbMATH Keywords

discriminant analysismultivariate statisticscluster analysisclusterwise regression

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Applications of mathematical programming (90C90) Nonlinear programming (90C30)

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Uses Software

• LINDO
• Algorithm 39

Cites Work

• Solving capacitated clustering problems
• Algorithm: Clusterwise linear least absolute deviations regression
• A fast algorithm for clusterwise linear absolute deviations regression
• A recursive Lagrangian method for clustering problems
• Correction to: Algorithm 39. Clusterwise linear regression
• A Lagrangian treatment of certain nonlinear clustering problems
• Simple but powerful goal programming models for discriminant problems
• A fast algorithm for clusterwise linear regression
• Clusterwise linear regression
• Minimizing deviations from the group mean: A new linear programming approach for the two-group classification problem
• Examining the effect of second-order terms in mathematical programming approaches to the classification problem
• A comment regarding polynomial discriminant functions
• Optimal Estimation of Executive Compensation by Linear Programming
• Cluster Analysis: An Application of Lagrangian Relaxation
• Investigating Smooth Multiple Regression by the Method of Average Derivatives
• Mixture Models, Outliers, and the EM Algorithm
• A Branch and Bound Clustering Algorithm
• A Dynamic Programming Algorithm for Cluster Analysis
• Cluster Analysis and Mathematical Programming
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