Hybrid Riemannian Graph-Embedding Metric Learning for Image Set Classification

With the continuously increasing amount of video data, image set classification has recently received widespread attention in the CV & PR community. However, the intra-class diversity and inter-class ambiguity of representations remain an open challenge. To tackle this issue, several methods have been put forward to perform multiple geometry-aware image set modelling and learning. Although the extracted complementary geometric information is beneficial for decision making, the sophisticated computational paradigm (e.g., scatter matrices computation and iterative optimisation) of such algorithms is counterproductive. As a countermeasure, we propose an effective hybrid Riemannian metric learning framework in this paper. Specifically, we design a multiple graph embedding-guided metric learning framework for the sake of fusing these complementary kernel features, obtained via the explicit RKHS embeddings of the Grassmannian manifold, SPD manifold, and Gaussian embedded Riemannian manifold, into a unified subspace for classification. Furthermore, the involved optimisation problem of the developed model can be solved in terms of a series of sub-problems, achieving improved efficiency theoretically and experimentally. Substantial experiments are carried out to evaluate the efficacy of our approach. The experimental results suggest the superiority of it over the state-of-the-art methods.