Persistent Homology
Cross-source consensus on Persistent Homology from 1 sources and 5 claims.
1 sources · 5 claims
How it works
Risks & contraindications
Highlighted claims
- The first Betti number counts independent one-dimensional cycles. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- Ripser was run on two-dimensional embeddings with maxdim = 1 for the stress tests. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- Reference Betti curves for the arXiv experiment were computed on the original 384-dimensional point cloud using stratified samples. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- Persistent-homology cost limited topology-error evaluation to beta0 and beta1 on 1000-point stress samples. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
- The study did not scale topology objectives to higher-dimensional homology or larger sample sizes. — DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale