# A Decision Tree Classification Algorithm Based on Two-Term RS-Entropy

## TL;DR

This paper introduces new decision tree algorithms using generalized entropy, which improve classification accuracy while maintaining simplicity.

## Contribution

The novel RSE and RSEIM algorithms unify splitting criteria with generalized entropy and multiple free parameters.

## Key findings

- RSE and RSEIM algorithms outperform traditional decision tree methods in classification accuracy.
- The new algorithms maintain tree simplicity while offering improved performance through parameter optimization.

## Abstract

Classification is an important task in the field of machine learning. Decision tree algorithms are a popular choice for handling classification tasks due to their high accuracy, simple algorithmic process, and good interpretability. Traditional decision tree algorithms, such as ID3, C4.5, and CART, differ primarily in their criteria for splitting trees. Shannon entropy, Gini index, and mean squared error are all examples of measures that can be used as splitting criteria. However, their performance varies on different datasets, making it difficult to determine the optimal splitting criterion. As a result, the algorithms lack flexibility. In this paper, we introduce the concept of generalized entropy from information theory, which unifies many splitting criteria under one free parameter, as the split criterion for decision trees. We propose a new decision tree algorithm called RSE (RS-Entropy decision tree). Additionally, we improve upon a two-term information measure method by incorporating penalty terms and coefficients into the split criterion, leading to a new decision tree algorithm called RSEIM (RS-Entropy Information Method). In theory, the improved algorithms RSE and RSEIM are more flexible due to the presence of multiple free parameters. In experiments conducted on several datasets, using genetic algorithms to optimize the parameters, our proposed RSE and RSEIM methods significantly outperform traditional decision tree methods in terms of classification accuracy without increasing the complexity of the resulting trees.