EXTRACTING FEATURES FROM EIGENFUNCTIONS: HIGHER CHEEGER CONSTANTS AND SPARSE EIGENBASIS APPROXIMATION

DOI10.1017/s0004972723000473OpenAlexW4386073693MaRDI QIDQ6090199

Christopher P. Rock

Publication date: 14 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972723000473

zbMATH Keywords

nonautonomous dynamical systemsfeature identificationhigher Cheeger constantsdynamic LaplacianLagrangian coherent setsnegative Laplace-Beltrami eigenvaluessparse eigenbasis approximation

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification

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