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Most manifold dimension estimators assume local flatness. New methods like curvature-adjusted PCA try to improve this. Impact on real-world data is still unclear.
“arXiv:2510.15141v5 Announce Type: replace-cross Abstract: Most existing manifold dimension estimators rely on the assumption that the underlying manifold is locally flat within the neighborhoods under consideration. More recently, curvature…”
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ACTIVE
CATEGORY
Research
EVIDENCE
Not yet assessed
ENTITY
CA-PCA, arXiv
DECISION
Automated · no editorial override
LAST OBSERVED
Aug 5, 2026