Efficient and Effective Multi-View Subspace Clustering for Large-scale Data

Recent multi-view subspace clustering achieves impressive results utilizing deep networks, where the self-expressive correlation is typically modeled by a fully connected (FC) layer. However, they still suffer from two limitations: i) it is under-explored to extract a unified representation from multiple views that simultaneously satisfy minimal sufficiency and discriminability. ii) the parameter scale of the FC layer is quadratic to the number of samples, resulting in high time and memory costs that significantly degrade their feasibility in large-scale datasets. In light of this, we propose a novel deep framework termed Efficient and Effective Large-scale Multi-View Subspace Clustering (E$^2$LMVSC). Specifically, to enhance the quality of the unified representation, a soft clustering assignment similarity constraint is devised for explicitly decoupling consistent, complementary, and superfluous information across multi-view data. Then, following information bottleneck theory, a sufficient yet minimal unified feature representation is obtained. Moreover, E$^2$LMVSC employs the maximal coding rate reduction principle to promote intra-cluster aggregation and inter-cluster separability within the unified representation. Finally, the self-expressive coefficients are learned by a Relation-Metric Net instead of a parameterized FC layer for greater efficiency. Extensive experiments show that E$^2$LMVSC yields comparable results to existing methods and achieves state-of-the-art clustering performance in large-scale multi-view datasets.