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Summary of Mixed Integer Linear Optimization Formulations For Learning Optimal Binary Classification Trees, by Brandon Alston et al.


Mixed integer linear optimization formulations for learning optimal binary classification trees

by Brandon Alston, Hamidreza Validi, Illya V. Hicks

First submitted to arxiv on: 10 Jun 2022

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Combinatorics (math.CO)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
In this paper, researchers propose four novel mixed integer linear optimization (MILO) formulations for designing optimal binary classification trees. Decision trees are popular in machine learning due to their interpretability, despite being outperformed by other methods in terms of accuracy. The authors’ approach seeks to balance the number of correctly classified datapoints and the number of branching vertices. They provide theoretical comparisons with existing work and conduct experiments on 13 public datasets to demonstrate scalability and the strength of a biobjective approach using Pareto frontiers.
Low GrooveSquid.com (original content) Low Difficulty Summary
Decision trees are a type of machine learning algorithm that helps computers make decisions by sorting through data. This paper is about making these decision trees better. Instead of just looking at accuracy, which is how well it predicts things, this paper also looks at simplicity, or how easy it is to understand why the tree made a certain decision. The authors came up with four new ways to do this and tested them on lots of different datasets. They found that their approach worked well and was able to make good decisions even when dealing with very large amounts of data.

Keywords

* Artificial intelligence  * Classification  * Machine learning  * Optimization