Joint Multi-view Unsupervised Feature Selection and Graph Learning

TL;DR

This paper introduces a joint approach for multi-view unsupervised feature selection and graph learning that simultaneously captures cluster structures and similarity graphs with global and local awareness, improving performance on real-world datasets.

Contribution

It proposes a unified framework combining feature selection and graph learning with orthogonal decomposition and cross-space locality preservation, addressing limitations of prior methods.

Findings

Outperforms existing methods on various multi-view datasets.

Effectively captures both global and local structural information.

Demonstrates convergence of the optimization algorithm.

Abstract

Despite significant progress, previous multi-view unsupervised feature selection methods mostly suffer from two limitations. First, they generally utilize either cluster structure or similarity structure to guide the feature selection, which neglect the possibility of a joint formulation with mutual benefits. Second, they often learn the similarity structure by either global structure learning or local structure learning, which lack the capability of graph learning with both global and local structural awareness. In light of this, this paper presents a joint multi-view unsupervised feature selection and graph learning (JMVFG) approach. Particularly, we formulate the multi-view feature selection with orthogonal decomposition, where each target matrix is decomposed into a view-specific basis matrix and a view-consistent cluster indicator. The cross-space locality preservation is incorporated to bridge the cluster structure learning in the projected space and the similarity learning (i.e., graph learning) in the original space. Further, a unified objective function is presented to enable the simultaneous learning of the cluster structure, the global and local similarity structures, and the multi-view consistency and inconsistency, upon which an alternating optimization algorithm is developed with theoretically proved convergence. Extensive experiments on a variety of real-world multi-view datasets demonstrate the superiority of our approach for both the multi-view feature selection and graph learning tasks. The code is available at https://github.com/huangdonghere/JMVFG.