GTM: the generative topographic mapping
Neural Computation
Mixtures of probabilistic principal component analyzers
Neural Computation
Statistical Pattern Recognition: A Review
IEEE Transactions on Pattern Analysis and Machine Intelligence
Self-Organizing Maps
Non-Linear Dimensionality Reduction
Advances in Neural Information Processing Systems 5, [NIPS Conference]
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment
SIAM Journal on Scientific Computing
Journal of Cognitive Neuroscience
Supervised local tangent space alignment for classification
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Supervised learning on local tangent space
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Manifold learning of vector fields
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Similarity measure for vector field learning
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
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Supervised local tangent space alignment is proposed for data classification in this paper. It is an extension of local tangent space alignment, for short, LTSA, from unsupervised to supervised learning. Supervised LTSA is a supervised dimension reduction method. It make use of the class membership of each data to be trained in the case of multiple classes, to improve the quality of classification. Furthermore we present how to determine the related parameters for classification and apply this method to a number of artificial and realistic data. Experimental results show that supervised LTSA is superior for classification to other popular methods of dimension reduction when combined with simple classifiers such as the k-nearest neighbor classifier.