Diffusion wavelet packets

DOI10.1016/j.acha.2006.04.005zbMath1093.42021OpenAlexW2107671127MaRDI QIDQ2497981

James Bremer, Arthur D. Szlam, Mauro Maggioni, Ronald R. Coifman

Publication date: 4 August 2006

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2006.04.005

zbMATH Keywords

Laplace-Beltrami operatorheat diffusionwavelet packetsspectral graph theorydiffusion waveletsdiffusion semigroupslocal discriminant bases

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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eGHWT: the extended generalized Haar-Walsh transform ⋮ Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators ⋮ Sampling, filtering and sparse approximations on combinatorial graphs ⋮ Multi-scale geometric methods for data sets. II: Geometric multi-resolution analysis ⋮ Spectral graph wavelet packets frames ⋮ Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings ⋮ Multiscale Discrete Framelet Transform for Graph-Structured Signals ⋮ Removable sets and approximation of eigenvalues and eigenfunctions on combinatorial graphs ⋮ Diffusion wavelets ⋮ Construction of frames on the Heisenberg groups ⋮ Hierarchical graph Laplacian eigen transforms ⋮ A class of Laplacian multiwavelets bases for high-dimensional data ⋮ Harmonic analysis on directed graphs and applications: from Fourier analysis to wavelets ⋮ Construction of Frames Using Calderón–Zygmund Operator Theory

Cites Work

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• Highly nonstationary wavelet packets
• Discriminant feature extraction using empirical probability density estimation and a local basis library
• Diffusion wavelets
• Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
• Entropy-based algorithms for best basis selection
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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