Sparse Clustering Algorithm Based on Multi-Domain Dimensionality Reduction Autoencoder

• Published in: Mathematics (Basel) Vol. 12; no. 10; p. 1526
• Main Authors: Kang, Yu, Liu, Erwei, Zou, Kaichi, Wang, Xiuyun, Zhang, Huaqing
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.05.2024
• Subjects: Algorithms; Analysis; Clustering; Data analysis; Data points; Decomposition; Deep learning; high dimensional; Information management; Methods; multi-domain; Neural networks; Reconstruction; Regularization; Sparsity; Spatial distribution
• DOI: 10.3390/math12101526
• ISSN: 2227-7390

The key to high-dimensional clustering lies in discovering the intrinsic structures and patterns in data to provide valuable information. However, high-dimensional clustering faces enormous challenges such as dimensionality disaster, increased data sparsity, and reduced reliability of the clustering results. In order to address these issues, we propose a sparse clustering algorithm based on a multi-domain dimensionality reduction model. This method achieves high-dimensional clustering by integrating the sparse reconstruction process and sparse L1 regularization into a deep autoencoder model. A sparse reconstruction module is designed based on the L1 sparse reconstruction of features under different domains to reconstruct the data. The proposed method mainly contributes in two aspects. Firstly, the spatial and frequency domains are combined by taking into account the spatial distribution and frequency characteristics of the data to provide multiple perspectives and choices for data analysis and processing. Then, a neural network-based clustering model with sparsity is conducted by projecting data points onto multi-domains and implementing adaptive regularization penalty terms to the weight matrix. The experimental results demonstrate superior performance of the proposed method in handling clustering problems on high-dimensional datasets.