Zigzag zoology: rips zigzags for homology inference

  title={Zigzag zoology: rips zigzags for homology inference},
  author={Steve Oudot and Don Sheehy},
  booktitle={Symposium on Computational Geometry},
For points sampled near a compact set X, the persistence barcode of the Rips filtration built from the sample contains information about the homology of X as long as X satisfies some geometric assumptions. The Rips filtration is prohibitively large, however zigzag persistence can be used to keep the size linear. We present several species of Rips-like zigzags and compare them with respect to the signal-to-noise ratio, a measure of how well the underlying homology is represented in the… CONTINUE READING
Highly Cited
This paper has 27 citations. REVIEW CITATIONS
19 Citations
3 References
Similar Papers


Publications referenced by this paper.
Showing 1-3 of 3 references

Unzerlegbare Darstellungen I

  • Peter Gabriel
  • Manuscripta Mathematica,
  • 1972
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…