The Community for Technology Leaders
RSS Icon
Issue No.03 - May/June (2012 vol.14)
pp: 60-67
Marc Joliveau , Université de Montréal, Canada
Michel Gendreau , École Polytechnique de Montréal, Canada
<p>A bilevel procedure for dimensionality reduction makes it possible to discover the underlying global geometry of a complex natural observations dataset&#x2014;such as human handwriting or faces under different viewing positions&#x2014;with higher precision than existing methods.</p>
Visual perception, feature extractor, image processing, pattern recognition, dimensionality reduction, scientific computing
Marc Joliveau, Michel Gendreau, "Using Bilevel Feature Extractors to Reduce Dimensionality in Images", Computing in Science & Engineering, vol.14, no. 3, pp. 60-67, May/June 2012, doi:10.1109/MCSE.2011.55
1. J. Tenenbaum, V. de Silva, and J. Langford, "A Global Geometric Framework for Nonlinear Dimensionality Reduction," Science, vol. 290, no. 5500, 2000, pp. 2319–2323.
2. K.V. Mardia, J.T. Kent, and J.M. Bibby, Multivariate Analysis, Academic Press, 1979.
3. I.T. Jolliffe, Principal Component Analysis, Springer-Verlag, 1986.
4. J.B. Kruskal and M. Wish, Multidimensional Scaling, Sage Publications, 1978.
5. A.J. Izenman, Modern Multivariate Statistical Techniques: Regression, Classification & Manifold Learning, Springer Texts in Statistics, 2008.
6. T. Roweis and L. Saul, "Nonlinear Dimensionality Reduction by Locally Linear Embedding," Science, vol. 290, no. 5500, 2000, pp. 2323–2326.
7. M. Belkin and P. Niyogi, "Laplacian Eigenmaps for Dimensionality Reduction and Data Representation," Neural Computation, vol. 15, no. 6, 2003, pp. 1373–1396.
8. Z. Zhang and H. Zha, "Principal Manifolds and Nonlinear Dimension Reduction via Tangent Space Alignment," SIAM J. Scientific Computing, vol. 26, no. 1, 2004, pp. 313–338.
9. B. Nadler et al., "Diffusion Maps, Spectral Clustering and Reaction Coordinates of Dynamical Systems," J. Applied and Computational Harmonic Analysis, vol. 21, no. 1, 2006, pp. 113–127.
10. M. Joliveau, Reduction of Urban Traffic Time Series from Georeferenced Sensors, and Extraction of Spatio-Temporal Series, doctoral dissertation (in French), École Centrale Des Arts et Manufactures, École Centrale Paris, Paris, France, 2008.
18 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool