Separation via polyhedral conic functions

DOI10.1080/10556780600723252zbMath1113.90095OpenAlexW1986734868MaRDI QIDQ5481682

Gurkan Ozturk, Rafail N. Gasimov

Publication date: 10 August 2006

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780600723252

zbMATH Keywords

classificationseparabilitypolyhedral conespolyhedral functionspolyhedral conic functions

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Linear programming (90C05)

Related Items (18)

Robust spherical separation ⋮ A conic scalarization method in multi-objective optimization ⋮ Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal ⋮ A polyhedral conic functions based classification method for noisy data ⋮ An incremental piecewise linear classifier based on polyhedral conic separation ⋮ Visual object detection using cascades of binary and one-class classifiers ⋮ Conic Scalarization Method in Multiobjective Optimization and Relations with Other Scalarization Methods ⋮ Generalized derivatives and optimality conditions in nonconvex optimization ⋮ Nonlinear Cone Separation Theorems in Real Topological Linear Spaces ⋮ A novel piecewise linear classifier based on polyhedral conic and max-min separabilities ⋮ A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures ⋮ Optimization approaches to supervised classification ⋮ Semisupervised spherical separation ⋮ Clustering based polyhedral conic functions algorithm in classification ⋮ Duality in nonconvex vector optimization ⋮ O-PCF algorithm for one-class classification ⋮ Support vector machine polyhedral separability in semisupervised learning ⋮ Existence and characterization theorems in nonconvex vector optimization

Uses Software

• UCI-ml

Cites Work

• Unnamed Item
• On the complexity of polyhedral separability
• Unsupervised and supervised data classification via nonsmooth and global optimization (with comments and rejoinder)
• A global optimization approach to classification
• A Parametric Optimization Method for Machine Learning
• Mathematical Programming for Data Mining: Formulations and Challenges
• Max–min separability
• Polyhedral separability through successive LP

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