An Iterative Locally Linear Embedding Algorithm

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Authors Deguang Kong, Chris Ding, Heng Huang, Feiping Nie
Journal/Conference Name The 29th International Conference on Machine Learning (ICML)
Paper Category
Paper Abstract Locally Linear embedding (LLE) is a popular dimension reduction method. In this paper, we systematically improve the two main steps of LLE: (A) learning the graph weights W, and (B) learning the embedding Y. We propose a sparse nonnegative W learning algorithm. We propose a weighted formulation for learning Y and show the results are identical to normalized cuts spectral clustering. We further propose to iterate the two steps in LLE repeatedly to improve the results. Extensive experiment results show that iterative LLE algorithm significantly improves both classification and clustering results.
Date of publication 2012
Code Programming Language MATLAB

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