Column generation based heuristic for learning classification trees

Murat Firat (Corresponding author), Guillaume Crognier, Adriana F. Gabor, C.A.J. Hurkens, Yingqian Zhang

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Abstract

This paper explores the use of Column Generation (CG) techniques in constructing univariate binary decision trees for classification tasks. We propose a novel Integer Linear Programming (ILP) formulation, based on root-to-leaf paths in decision trees. The model is solved via a Column Generation based heuristic. To speed up the heuristic, we use a restricted instance data by considering a subset of decision splits, sampled from the solutions of the well-known CART algorithm. Extensive numerical experiments show that our approach is competitive with the state-of-the-art ILP-based algorithms. In particular, the proposed approach is capable of handling big data sets with tens of thousands of data rows. Moreover, for large data sets, it finds solutions competitive to CART.

Original languageEnglish
Article number104866
Number of pages11
JournalComputers & Operations Research
Volume116
DOIs
Publication statusPublished - Apr 2020

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Keywords

  • CART
  • Classification
  • Column generation
  • Decision trees
  • Integer linear programming
  • Machine learning

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