A decomposable branch-and-price formulation for optimal classification trees
Date
2024-07
Authors
Editor(s)
Advisor
Karsu, Özlem
Supervisor
Co-Advisor
Khaniyev, Taghi
Co-Supervisor
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Abstract
Construction of Optimal Classification Trees (OCTs) using mixed-integer programs, is a promising approach as it returns a tree with minimum classification error. Yet solving integer programs to optimality is known to be computationally costly, especially as the size of the instance and the depth of the tree grow, calling for efficient solution methods. Our research presents a new, decomposable model which lends itself to efficient solution algorithms such as Branch-and-Price. We model the classification tree using a “patternbased” formulation, deciding which feature should be used to split data at each branching node of each leaf. Our results are promising, illustrating the potential of decomposition in the domain of binary OCTs.
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Degree Discipline
Industrial Engineering
Degree Level
Master's
Degree Name
MS (Master of Science)
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Language
English