1. A Weighting Method for Feature Dimension by Semisupervised Learning With Entropy
- Author
-
Murong Yang, Shihui Ying, Ziyan Qin, Jigen Peng, and Dequan Jin
- Subjects
Computer Networks and Communications ,business.industry ,Dimensionality reduction ,Pattern recognition ,A-weighting ,Class (biology) ,Computer Science Applications ,Weighting ,Feature Dimension ,Artificial Intelligence ,Feature (computer vision) ,Metric (mathematics) ,Artificial intelligence ,Entropy (energy dispersal) ,business ,Software ,Mathematics - Abstract
In this article, a semisupervised weighting method for feature dimension based on entropy is proposed for classification, dimension reduction, and correlation analysis. For real-world data, different feature dimensions usually show different importance. Generally, data in the same class are supposed to be similar, so their entropy should be small; and those in different classes are supposed to be dissimilar, so their entropy should be large. According to this, we propose a way to construct the weights of feature dimensions with the whole entropy and the innerclass entropies. The weights indicate the contribution of their corresponding feature dimensions in classification. They can be used to improve the performance of classification by giving a weighted distance metric and can be applied to dimension reduction and correlation analysis as well. Some numerical experiments are given to test the proposed method by comparing it with some other representative methods. They demonstrate that the proposed method is feasible and efficient in classification, dimension reduction, and correlation analysis.
- Published
- 2023