MLLE: Modified Locally Linear Embedding Using Multiple Weights Export

@misc{citeulike:4234954, abstract = {The locally linear embedding (LLE) is improved by introducing multiple linearly independent local weight vectors for each neighborhood. We characterize the reconstruction weights and show the existence of the linearly independent weight vectors at each neighborhood. The modified locally linear embedding (MLLE) proposed in this paper is much stable. It can retrieve the ideal embedding if MLLE is applied on data points sampled from an isometric manifold. MLLE is also compared with the local tangent space alignment (LTSA). Numerical examples are given that show the improvement and efficiency of MLLE. 1}, author = {Zhang, Zhenyue and Wang, Jing}, citeulike-article-id = {4234954}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.70.382}, keywords = {lle, manifold}, posted-at = {2009-03-29 11:45:37}, priority = {2}, title = {MLLE: Modified Locally Linear Embedding Using Multiple Weights}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.70.382} }

TY - ELEC ID - citeulike:4234954 L3 - citeulike-article-id:4234954 N2 - The locally linear embedding (LLE) is improved by introducing multiple linearly independent local weight vectors for each neighborhood. We characterize the reconstruction weights and show the existence of the linearly independent weight vectors at each neighborhood. The modified locally linear embedding (MLLE) proposed in this paper is much stable. It can retrieve the ideal embedding if MLLE is applied on data points sampled from an isometric manifold. MLLE is also compared with the local tangent space alignment (LTSA). Numerical examples are given that show the improvement and efficiency of MLLE. 1 TI - MLLE: Modified Locally Linear Embedding Using Multiple Weights KW - lle KW - manifold AU - Zhang, Zhenyue AU - Wang, Jing UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.70.382 ER -