Abstract
The objective of self-expression based spectral clustering is to learn an affinity matrix which accurately reflects the similarity among data, and the Laplacian constraint is usually exploited to make the affinity matrix preserve the global structure of raw data. However, there exist two drawbacks: firstly, these methods are mostly designed for vectorial data in Euclidean spaces, which are not suitable for multidimensional data with nonlinear manifold structure, e.g., videos and image-sets. Secondly, the clustering performance heavily relies on the quality of a pre-learned Laplacian matrix in which the global structure may be mis-interpreted without considering manifold structures. In this paper, we firstly provide a unified framework about self-expression learning on Grassmann manifolds, which implements the clustering tasks for multidimensional data under subspace views. Then, to assign optimal neighbors to each data depending on the local distance, we adaptively learn the neighborhood relationship from the obtained self-expression coefficient matrix, referred to Learning Adaptive Neighborhood Graph on Grassmann manifolds (GMAN). In the optimization process, the neighborhood relationship can be adaptively learned and updated with the coefficient matrix. The experimental results on five public datasets show that the proposed method is obviously better than many related clustering methods based on Grassmann manifolds, proving the effectiveness of GMAN in multidimensional data clustering.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.