Geometry of curves in \(\mathbb{R}^n\) from the local singular value decomposition

DOI10.1016/j.laa.2019.02.006zbMath1415.53001OpenAlexW2917094385MaRDI QIDQ2419017

Yanyan Li

Publication date: 29 May 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.02.006

zbMATH Keywords

principal component analysisgeneralized curvaturesHankel matricesFrenet-Serret framelocal singular value decomposition

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Eigenvalues, singular values, and eigenvectors (15A18) Curves in Euclidean and related spaces (53A04)

Related Items (2)

Manifold curvature learning from hypersurface integral invariants ⋮ Local eigenvalue decomposition for embedded Riemannian manifolds

Uses Software

• OPQ

Cites Work

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• Geometry of local adaptive Galerkin bases
• Principal component analysis.
• Manifold curvature learning from hypersurface integral invariants
• Degrees of Projections of Rank Loci
• Local adaptive Galerkin bases for large-dimensional dynamical systems
• Topological dimension and local coordinates from time series data
• A New Approach to Dimensionality Reduction: Theory and Algorithms

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