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The Cartographer
Minimization of Gini impurity via connections with the k-means problem
September 28, 2018 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Eduardo Sany Laber, Lucas Murtinho
arXiv ID
1810.00029
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.CC,
cs.LG
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
The Gini impurity is one of the measures used to select attribute in Decision Trees/Random Forest construction. In this note we discuss connections between the problem of computing the partition with minimum Weighted Gini impurity and the $k$-means clustering problem. Based on these connections we show that the computation of the partition with minimum Weighted Gini is a NP-Complete problem and we also discuss how to obtain new algorithms with provable approximation for the Gini Minimization problem.
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