On the Support of Compressed Modes

DOI10.1137/140956725zbMath1379.49003OpenAlexW2734681528MaRDI QIDQ5283343

Farzin Barekat, Stanley J. Osher, Russel E. Caflisch

Publication date: 21 July 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140956725

zbMATH Keywords

PDEsparsitycompressive sensing\(L^1\)-regularizationcompressed modes

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (1)

Laplacian spectral basis functions

Uses Software

• PhaseLift

Cites Work

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• PDEs with compressed solutions
• Estimates on the support of solutions of parabolic variational inequalities
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• Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
• Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
• SOLUTIONS WITH COMPACT SUPPORT OF VARIATIONAL INEQUALITIES
• Sparse dynamics for partial differential equations
• Compressed modes for variational problems in mathematics and physics
• On the Consistency of Compressed Modes for Variational Problems Associated with the Schrödinger Operator
• Phase Retrieval via Matrix Completion
• Compressed sensing

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