Title: Multi-view Low-rank Sparse Subspace Clustering,
Abstract: Most existing approaches address multi-view subspace clustering problem by
constructing the affinity matrix on each view separately and afterwards propose
how to extend spectral clustering algorithm to handle multi-view data. This
paper presents an approach to multi-view subspace clustering that learns a
joint subspace representation by constructing affinity matrix shared among all
views. Relying on the importance of both low-rank and sparsity constraints in
the construction of the affinity matrix, we introduce the objective that
balances between the agreement across different views, while at the same time
encourages sparsity and low-rankness of the solution. Related low-rank and
sparsity constrained optimization problem is for each view solved using the
alternating direction method of multipliers. Furthermore, we extend our
approach to cluster data drawn from nonlinear subspaces by solving the
corresponding problem in a reproducing kernel Hilbert space. The proposed
algorithm outperforms state-of-the-art multi-view subspace clustering
algorithms on one synthetic and four real-world datasets.