The rank invariant stability via interleavings
Claudia Landi
TL;DR
This paper establishes a lower bound for the interleaving distance on persistence vector spaces using rank invariants, providing an alternative proof for their stability.
Contribution
It introduces a new lower bound for interleaving distance based on rank invariants, enhancing understanding of stability in persistence modules.
Findings
Provides a lower bound for interleaving distance
Offers an alternative proof of rank invariant stability
Strengthens theoretical foundations of persistence theory
Abstract
A lower bound for the interleaving distance on persistence vector spaces is given in terms of rank invariants. This offers an alternative proof of the stability of rank invariants.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPeroxisome Proliferator-Activated Receptors · Advanced Graph Neural Networks