Local high-order regularization on data manifolds

  title={Local high-order regularization on data manifolds},
  author={Kwang In Kim and James Tompkin and Hanspeter Pfister and Christian Theobalt},
  journal={2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)},
  • K. Kim, J. Tompkin, C. Theobalt
  • Published 7 June 2015
  • Computer Science, Mathematics
  • 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
The common graph Laplacian regularizer is well-established in semi-supervised learning and spectral dimensionality reduction. However, as a first-order regularizer, it can lead to degenerate functions in high-dimensional manifolds. The iterated graph Laplacian enables high-order regularization, but it has a high computational complexity and so cannot be applied to large problems. We introduce a new regularizer which is globally high order and so does not suffer from the degeneracy of the graph… 

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