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Multiscale Estimation of Intrinsic Dimensionality of Point Cloud Data and Multiscale Analysis of Dynamic Graphs
Abstract
In the first part of the thesis, we study the problem of estimating the intrinsic
dimension of point cloud data sampled from a noisy manifold. We show that a multiscale
algorithm succeeds with high probability.
The second part of this thesis studies Dynamic Networks using a multiscale methodology.
We propose a novel multiscale algorithm to analyze the dynamics of graphs and networks.
Type
Honors thesisDepartment
MathematicsPermalink
https://hdl.handle.net/10161/2225Citation
(2010). Multiscale Estimation of Intrinsic Dimensionality of Point Cloud Data and Multiscale
Analysis of Dynamic Graphs. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/2225.Collections
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