Regular Article: Derivatives of the Matrix Exponential and Their Computation
Advances in Applied Mathematics
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection
IEEE Transactions on Pattern Analysis and Machine Intelligence
A numerical study of large sparse matrix exponentials arising in Markov chains
Computational Statistics & Data Analysis
Digital Control of Dynamic Systems
Digital Control of Dynamic Systems
Face Recognition Using Laplacianfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Scaling and Squaring Method for the Matrix Exponential Revisited
SIAM Journal on Matrix Analysis and Applications
Journal of Cognitive Neuroscience
A Direct Locality Preserving Projections (DLPP) Algorithm for Image Recognition
Neural Processing Letters
Sparsity preserving projections with applications to face recognition
Pattern Recognition
Generalized discriminant analysis: a matrix exponential approach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
LPP solution schemes for use with face recognition
Pattern Recognition
Combining classifiers using nearest decision prototypes
Applied Soft Computing
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Locality preserving projections (LPP) is a widely used manifold reduced dimensionality technique. However, it suffers from two problems: (1) small sample size problem and (2) the performance is sensitive to the neighborhood size k. In order to address these problems, we propose an exponential locality preserving projections (ELPP) by introducing the matrix exponential in this paper. ELPP avoids the singular of the matrices and obtains more valuable information for LPP. The experiments are conducted on three public face databases, ORL, Yale and Georgia Tech. The results show that the performances of ELPP is better than those of LPP and the state-of-the-art LPP Improved1.