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Abstract: High dimensional data that lies on or near a low dimensional manifold can be described by a collection of local linear models. Such a description, however, does not provide a global parameterization of the manifold---arguably an important goal of unsupervised learning. In this paper, we show how to learn a collection of local linear models that solves this more difficult problem. Our local linear models are represented by a mixture of factor analyzers, and the "global coordination " of... (Update)
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BibTeX entry: (Update)
S. Roweis, L. Saul, and G.E. Hinton. Global coordination of local linear models. In T.G. Dietterich, S. Becker, and Z. Ghahramani, editors, Advances in Neural Information Processing Systems, volume 14, pages x{y. MIT Press, 2002. http://citeseer.ist.psu.edu/roweis02global.html More
@misc{ roweis02global,
author = "S. Roweis and L. Saul and G. Hinton",
title = "Global coordination of local linear models",
text = "S. Roweis, L. Saul, and G.E. Hinton. Global coordination of local linear
models. In T.G. Dietterich, S. Becker, and Z. Ghahramani, editors, Advances
in Neural Information Processing Systems, volume 14, pages x{y. MIT Press,
2002.",
year = "2002",
url = "citeseer.ist.psu.edu/roweis02global.html" }
Citations (may not include all citations):245 An introduction to variational methods for graphical models - Jordan, Ghahramani et al. - 1999
228 Nonlinear dimensionality reduction by locally linear embeddi.. - Roweis, Saul - 2000
121 GTM: The generative topographic mapping - Bishop, Svensen et al.
85 The EM algorithm for mixtures of factor analyzers - Ghahramani, Hinton - 1996
65 Nonlinear dimensionality reduction - DeMers, Cottrell
51 Modeling the manifolds of images of handwritten digits (context) - Hinton, Dayan et al. - 1997
31 Image representations for visual learning (context) - Beymer, Poggio - 1996
27 Dimension reduction by local principal component analysis (context) - Kambhatla, Leen
26 Nonlinear image interpolation using manifold learning (context) - Bregler, Omohundro
20 A global geometric framework for nonlinear dimensionality re.. (context) - Tenenbaum, de Silva et al. - 2000
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