Deep Nets for Local Manifold Learning
The problem of extending a function f defined on a training data C on an unknown manifold 𝕏 to the entire manifold and a tubular neighborhood of this manifold is considered in this paper. For 𝕏 embedded in a high dimensional ambient Euclidean space ℝD, a deep learning algorithm is developed for find...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2018-05-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fams.2018.00012/full |