Recently there has been a lot of interest in geometrically motivated approaches to data analysis in high dimensional spaces. We consider the case where data is drawn from sampling a probability distribution that has support on or near a submanifold of Euclidean space. In this paper, we propose a novel subspace learning algorithm called neighborhood preserving embedding (NPE). Different from principal component analysis (PCA) which aims at preserving the global Euclidean structure, NPE aims at preserving the local neighborhood structure on the data manifold. Therefore, NPE is less sensitive to outliers than PCA. Also, comparing to the recently proposed manifold learning algorithms such as Isomap and locally linear embedding, NPE is defined everywhere, rather than only on the training data points. Furthermore, NPE may be conducted in the original space or in the reproducing kernel Hilbert space into which data points are mapped. This gives rise to kernel NPE. Several experiments on face database demonstrate the effectiveness of our algorithm.
Neighborhood preserving embedding
Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 ; 2 ; 1208-1213 Vol. 2
01.01.2005
189048 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
Neighborhood Preserving Embedding
British Library Conference Proceedings | 2005
|Color by Linear Neighborhood Embedding
British Library Conference Proceedings | 2005
|Color by linear neighborhood embedding
IEEE | 2005
|Neighborhood linear embedding for intrinsic structure discovery
British Library Online Contents | 2010
|Small World Neighborhood Optimized Local Linear Embedding Algorithm
British Library Online Contents | 2008
|