The new baseline for high dimensional dataset by ranked mutual information features

¹ Department of Physical and Mathematical Science, Universiti Tunku Abdul Rahman, Kampar, Perak, Malaysia
² Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, Kajang, Selangor, Malaysia

^* Corresponding author: chinfy@utar.edu.my

Abstract

Feature selection is a process of selecting a group of relevant features by removing unnecessary features for use in constructing the predictive model. However, high dimensional data increases the difficulty of feature selection due to the curse of dimensionality. From the past research, the performance of the predictive model is always compared with the existing results. When attempting to model a new dataset, the current practice is to benchmark for the dataset obtained by including all the features, including redundant features and noise. Here we propose a new optimal baseline for the dataset by mean of ranked features using a mutual information score. The quality of a dataset depends on the information contained in the dataset, and the more information contains in the dataset, the better the performance of the predictive model. The number of features to achieve this new optimal baseline will be obtained at the same time, and serve as the guideline on the number of features needed in a feature selection method. We will also show some experimental results that the proposed method provides a better baseline with fewer features compared to the existing benchmark using all the features.