Multi-View Clustering via Semi-non-negative Tensor Factorization
- URL: http://arxiv.org/abs/2303.16748v1
- Date: Wed, 29 Mar 2023 14:54:19 GMT
- Title: Multi-View Clustering via Semi-non-negative Tensor Factorization
- Authors: Jing Li, Quanxue Gao, Qianqian Wang, Wei Xia, Xinbo Gao
- Abstract summary: We develop a novel multi-view clustering based on semi-non-negative tensor factorization (Semi-NTF)
Our model directly considers the between-view relationship and exploits the between-view complementary information.
In addition, we provide an optimization algorithm for the proposed method and prove mathematically that the algorithm always converges to the stationary KKT point.
- Score: 120.87318230985653
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Multi-view clustering (MVC) based on non-negative matrix factorization (NMF)
and its variants have received a huge amount of attention in recent years due
to their advantages in clustering interpretability. However, existing NMF-based
multi-view clustering methods perform NMF on each view data respectively and
ignore the impact of between-view. Thus, they can't well exploit the
within-view spatial structure and between-view complementary information. To
resolve this issue, we present semi-non-negative tensor factorization
(Semi-NTF) and develop a novel multi-view clustering based on Semi-NTF with
one-side orthogonal constraint. Our model directly performs Semi-NTF on the
3rd-order tensor which is composed of anchor graphs of views. Thus, our model
directly considers the between-view relationship. Moreover, we use the tensor
Schatten p-norm regularization as a rank approximation of the 3rd-order tensor
which characterizes the cluster structure of multi-view data and exploits the
between-view complementary information. In addition, we provide an optimization
algorithm for the proposed method and prove mathematically that the algorithm
always converges to the stationary KKT point. Extensive experiments on various
benchmark datasets indicate that our proposed method is able to achieve
satisfactory clustering performance.
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