An extension of multifactor analysis for face recognition based on submanifold learning
Lately, Multilinear Principal Component Analysis (MPCA) has been successfully applied to face recognition since MPCA provides analysis of multiple factors of face images such as people's identities, viewpoints, and lighting conditions. MPCA employees multiple linear subspaces constructed by varying factors. In this paper, we propose nonlinear submanifold analysis, which can represent the variation of each factor more accurately than the conventional multilinear subspace analysis. Based on submani-fold learning, we propose an extension of the multiple factor analysis. This paper proposes the kernel-based extension of MPCA whose definition of a kernel function and neighbors of each sample is robust for submanifold learning. The experimental results in this paper demonstrate that the proposed methods produce a synergetic advantage for face recognition. This is because our method offers the combined virtues of both multifactor analysis and manifold learning.