Testing the manifold hypothesis
The hypothesis that high dimensional data tend to lie in the vicinity of a low dimensional manifold is the basis of manifold learning. The goal of this paper is to develop an algorithm (with accompanying complexity guarantees) for testing the existence of a manifold that fits a probability distribut...
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| Published in: | Journal of the American Mathematical Society 2016-10, Vol.29 (4), p.983-1049 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Citations: | Items that cite this one |
| Online Access: | Get full text |
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