Laplacian Eigenmaps for dimensionality reduction and data representation
Neural Computation
A kernel view of the dimensionality reduction of manifolds
ICML '04 Proceedings of the twenty-first international conference on Machine learning
Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment
SIAM Journal on Scientific Computing
Graph Embedding: A General Framework for Dimensionality Reduction
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
A Closed Form Solution to Natural Image Matting
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Nonlinear Dimensionality Reduction
Nonlinear Dimensionality Reduction
Regression Reformulations of LLE and LTSA With Locally Linear Transformation
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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In the paper, a new online monitoring approach is proposed for handling the multimode monitoring problem in the industrial batch processes. Compared to conventional method, the contributions are as follows: 1) The LTSA algorithm is applied to the multi-mode batches process. And a common subspace is extracted via the new method proposed instead of extracting the common subspaces of each mode. 2) After those two different subspaces are separated, the common and specific subspace models are built and analyzed respectively. The monitoring is carried out in subspace. The corresponding confidence regions are constructed according to their models respectively.