Probabilistic Principal Curves on Riemannian Manifolds.
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- Record sourced from PubMed, PMID 38265902.
- Also identified by DOI 10.1109/TPAMI.2024.3357801.
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Abstract
This paper studies a new curve-fitting approach to data on Riemannian manifolds. We define a principal curve based on a mixture model for observations and unobserved latent variables and propose a new algorithm to estimate the principal curve for given data points on Riemannian manifolds.