Rapid and brief communication: The LLE and a linear mapping
Pattern Recognition
A discriminant analysis for undersampled data
AIDM '07 Proceedings of the 2nd international workshop on Integrating artificial intelligence and data mining - Volume 84
ADMA '07 Proceedings of the 3rd international conference on Advanced Data Mining and Applications
Weighted locally linear embedding for dimension reduction
Pattern Recognition
Kernel based nonlinear dimensionality reduction for microarray gene expression data analysis
Expert Systems with Applications: An International Journal
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We present an approach to recognizing faces with varying appearances which also considers the relative probability of occurrence for each appearance. We propose and demonstrate extending dimensionality reduction using locally linear embedding (LLE), to model the local shape of the manifold using neighboring nodes of the graph, where the probability associated with each node is also considered. The approach has been implemented in software and evaluated on the Yale database of face images. Recognition rates are compared with non-weighted LLE and principal component analysis (PCA), and in our setting, weighted LLE achieves superior performance.