Geometric data analysis based on manifold learning with applications for image understanding

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Author/s

Gastão Florencio Miranda (Universidade Federal de Sergipe), Gilson António Giraldi (National Laboratory for Scientific Computing), Carlos Eduardo Thomaz (University Center of FEI)

About the resource/s

The conference paper gives in the first section a brief and easy understandable introduction into the basics of Riemannian geometry. Furthermore, it gives a review of classical methods for mapping data into a low-dimensional manifold / nonlinear dimensionality reduction like Local Linear Embedding (LLE), Isometric Feature Mapping (ISOMAP) and Local Riemannian Manifold Learning (LRML).

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