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» Intrinsic dimensionality estimation of submanifolds in Rd
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ICML
2005
IEEE
14 years 5 months ago
Intrinsic dimensionality estimation of submanifolds in Rd
We present a new method to estimate the intrinsic dimensionality of a submanifold M in Rd from random samples. The method is based on the convergence rates of a certain U-statisti...
Matthias Hein, Jean-Yves Audibert
COMPGEOM
2008
ACM
13 years 6 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
MM
2004
ACM
167views Multimedia» more  MM 2004»
13 years 10 months ago
Learning an image manifold for retrieval
We consider the problem of learning a mapping function from low-level feature space to high-level semantic space. Under the assumption that the data lie on a submanifold embedded ...
Xiaofei He, Wei-Ying Ma, HongJiang Zhang