The week's pick
Random Articles
Reseach Article
Similarity Consideration for Visualization and Manifold Geometry Preservation
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 16 - Number 2 |
| Year of Publication: 2011 |
| Authors: Shashwati Mishra, Chittaranjan Pradhan |
10.5120/1981-2664
|
Shashwati Mishra, Chittaranjan Pradhan . Similarity Consideration for Visualization and Manifold Geometry Preservation. International Journal of Computer Applications. 16, 2 ( February 2011), 36-39. DOI=10.5120/1981-2664
Abstract
Manifold learning techniques are used to preserve the original geometry of dataset after reduction by preserving the distance among data points. MDS (Multidimensional Scaling), ISOMAP (Isometric Feature Mapping), LLE (Locally Linear Embedding) are some of the geometrical structure preserving dimension reduction methods. In this paper, we have compared MDS and ISOMAP and considered similarity as an approach to find the reduced representation of original data using ISOMAP.
References
- Chen, Y., Crawford, M. M., Ghosh, J. 2006, “Improved nonlinear manifold learning for land cover classification via intelligent landmark selection”, Geoscience and Remote Sensing Symposium. IEEE,545-548.
- Wittman, T. 2005, “Manifold LearningTechniques: So which is the best?”.
- Carreira-Perpiñán, M. Á. 2001, “Contious latent variable models for dimensionality reduction and sequential data reconstruction”, Submitted to the University of Sheffield for the degree of Doctor of Philosophy.
- Tenenbaum, J. B., Silva, V. de, Langford, J. C. 2000, “A Global Geometric Framework for Non-linear Dimensionality Reduction” Science, 290(5500):2319-2323.
- Wu, Y., Chan, K. L. 2004, “An Extended Isomap Algorithm for Learning Multi-Class Manifold”, Machine Learning and Cybernetics, vol. 6, 3429-3433, IEEE.
- Yang, M. 2002, “Extended Isomap for Pattern Classification”, Eighteenth National Conference on Artificial Intelligence.
- Wickelmaier, F. 2003, “An Introduction to MDS”, Sound Quality Research Unit,Aalborg University,Denmark.
- Samko, O., Marshall, A. D., Rosin, P. L. 2006, “Selection of the optimal parameter value for the Isomap algorithm”, Pattern Recognition Letters,Vol. 27, Issue-9, Pages 968-979.
- Fodor, I. K.. 2002, “A survey of dimension reduction techniques”, Center for Applied Scientific Computing, Lawrence Livermore National Scientific Computing, Citeseerx.
Index Terms
Keywords