Topology Error
Cross-source consensus on Topology Error from 1 sources and 5 claims.
1 sources · 5 claims
Uses
How it works
Preparation
Highlighted claims
- The study defines topology error as the absolute deviation between embedding beta1 and known beta1 over a fixed stress-test set. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- The stress tests used noisy figure-8 and torus samples, both with true beta1 equal to 2. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- Topology error is proposed as a replacement or complement for local-only evaluation of dimensionality reduction. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- Persistent-homology outputs were converted into Betti curves, and beta1 was estimated by counting significant bars. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- Topology error can distinguish manifold preservation from noise reproduction when used with task metrics. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale