Adaptive bigraph-based multi-view unsupervised dimensionality reduction.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

As a crucial machine learning technology, graph-based multi-view unsupervised dimensionality reduction aims to learn compact low-dimensional representations for unlabeled multi-view data using graph structures. However, it faces several challenges, including the integration of multiple heterogeneous views, the absence of label guidance, the rigidity of predefined similarity graphs, and high computational intensity. To address these issues, we propose a novel method called adaptive Bigraph-based Multi-view Unsupervised Dimensionality Reduction (BMUDR). BMUDR dynamically learns view-specific anchor sets and adaptively constructs a bigraph shared by multiple views, facilitating the discovery of low-dimensional representations through sample-anchor relationships. The generation of anchors and the construction of anchor similarity matrices are integrated into the dimensionality reduction process. Diverse contributions of different views are automatically weighed to leverage their complementary and consistent properties. In addition, an optimization algorithm is designed to enhance computational efficiency and scalability, and it provides impressive performance in low-dimensional representation learning, as demonstrated by extensive experiments on various benchmark datasets.

Authors

  • Qianyao Qiang
    School of Software, Xi'an Jiaotong University, Xi'an, 710049, China. Electronic address: qiangqianyao@stu.xjtu.edu.cn.
  • Bin Zhang
    Department of Psychiatry, Sleep Medicine Center, Nanfang Hospital, Southern Medical University, Guangzhou, China.
  • Chen Jason Zhang
    Department of Computing, Hong Kong Polytechnic University, 999077, Hong Kong, China. Electronic address: jason-c.zhang@polyu.edu.hk.
  • Feiping Nie
    School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, Xi'an 710072, Shaanxi, PR China.