journal article·2020-12-15Open access

Deep Subspace Clustering with Block Diagonal Constraint

Jing Liu, Yanfeng Sun, Yongli Hu

Applied Sciences· Volume 10· Issue 24

Abstract

The deep subspace clustering method, which adopts deep neural networks to learn a representation matrix for subspace clustering, has shown good performance. However, this representation matrix ignores the structural constraint when it is applied to subspace clustering. It is known that samples from different classes can be taken as embedding in independent subspaces. Thus, the representation matrix should have a block diagonal structure. This paper presents the Deep Subspace Clustering with Block Diagonal Constraint (DSC-BDC), a model which constrains the representation matrix with block diagonal structure and gives a block diagonal regularizer for learning a suitable representation. Furthermore, to enhance the representation capacity, DSC-BDC reforms the block-diagonal structure constraint by performing a separation strategy on the representation matrix. Specifically, the separation strategy ensures that the most compact samples are selected to the represent data. An alternative optimization algorithm is designed for our model. Extensive experiments on four public and real-world databases demonstrate the effectiveness and superiority of our proposed model.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Face and Expression Recognition · Remote-Sensing Image Classification · Blind Source Separation Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of Information Technology, Beijing University of Technology, Beijing 100124, China

Funding

National Natural Science Foundation of China under Grant

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