Title
Manifold Denoising
Abstract
We consider the problem of denoising a noisily sampled submanifold M in Rd, where the submanifoldM is a priori unknown and we are only given a noisy point sample. The presented denoising algorithm is based on a graph-based diffusion process of the point sample. We analyze this diffusion process using recent re- sults about the convergence of graph Laplacians. In the experiments we show that our method is capable of dealing with non-trivial high-dimensional noise. More- over using the denoising algorithm as pre-processing method we can improve the results of a semi-supervised learning algorithm.
Year
Venue
DocType
2006
NIPS
Conference
Citations 
PageRank 
References 
10
1.13
5
Authors
2
Name
Order
Citations
PageRank
Matthias Hein166362.80
Markus Maier2917.26