Linear manifold approximation based on differences of tangents

@article{Karygianni2011LinearMA,
  title={Linear manifold approximation based on differences of tangents},
  author={Sofia Karygianni and Pascal Frossard},
  journal={2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
  year={2011},
  pages={973-976}
}
In this paper, we consider the problem of manifold approximation with affine subspaces. Our objective is to discover a set of low dimensional affine subspaces that represents manifold data accurately while preserving the manifold's structure. For this purpose, we employ a greedy technique that partitions manifold samples into groups that can be well approximated by low dimensional subspaces. We start with considering each manifold sample as a different group and we use the difference of… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
3 Citations
9 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-3 of 3 extracted citations

References

Publications referenced by this paper.
Showing 1-9 of 9 references

The geometry of algorithms with orthogonality constraints

  • Alan Edelman, Tom s, A. Arias, Steven, T. Smith
  • SIAM J. Matrix Anal. Appl, vol. 20, pp. 303–353…
  • 1998
Highly Influential
6 Excerpts

Riemannian center of mass and mollifier smoothing

  • H. Karcher
  • Communications on Pure and Applied Mathematics…
  • 1977
1 Excerpt

Similar Papers

Loading similar papers…