Unsupervised Feature Selection with Latent Relationship Penalty Term

Author:

Ma Ziping1,Huang Yulei1ORCID,Li Huirong2,Wang Jingyu1

Affiliation:

1. School of Mathematics and Information Science, North Minzu University, Yinchuan 750030, China

2. School of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China

Abstract

With the exponential growth of high dimensional unlabeled data, unsupervised feature selection (UFS) has attracted considerable attention due to its excellent performance in machine learning. Existing UFS methods implicitly assigned the same attribute score to each sample, which disregarded the distinctiveness of features and weakened the clustering performance of UFS methods to some extent. To alleviate these issues, a novel UFS method is proposed, named unsupervised feature selection with latent relationship penalty term (LRPFS). Firstly, latent learning is innovatively designed by assigning explicitly an attribute score to each sample according to its unique importance in clustering results. With this strategy, the inevitable noise interference can be removed effectively while retaining the intrinsic structure of data samples. Secondly, an appropriate sparse model is incorporated into the penalty term to further optimize its roles as follows: (1) It imposes potential constraints on the feature matrix to guarantee the uniqueness of the solution. (2) The interconnection between data instances is established by a pairwise relationship situation. Extensive experiments on benchmark datasets demonstrate that the proposed method is superior to relevant state-of-the-art algorithms with an average improvement of 10.17% in terms of accuracy.

Funder

Natural Science Foundation of Ningxia

National Natural Science Foundation of China

Basic Scientific Research in Central Universities of North Minzu University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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