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stat.ME2025
Constrained Shape Analysis with Applications to RNA Structure
Kanti V. Mardia, Benjamin Eltzner, Stephan F. Huckemann
In many applications of shape analysis, lengths between some landmarks are constrained. For instance, biomolecules often have some bond lengths and some bond angles constrained, an…
stat.ME2024
Principal Sub-manifolds
Zhigang Yao, Benjamin Eltzner, Tung Pham
We propose a novel method of finding principal components in multivariate data sets that lie on an embedded nonlinear Riemannian manifold within a higher-dimensional space. Our aim…