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Sparse free deconvolution under unknown noise level via eigenmatrix
Lexing Ying
This note considers the spectral estimation problems of sparse spectral measures under unknown noise levels. The main technical tool is the eigenmatrix method for solving unstructu…
Blind free deconvolution over one-parameter sparse families via eigenmatrix
Lexing Ying
This note considers the blind free deconvolution problems of sparse spectral measures from one-parameter families. These problems pose significant challenges since they involve non…
Multidimensional unstructured sparse recovery via eigenmatrix
Lexing Ying
This note considers the multidimensional unstructured sparse recovery problems. Examples include Fourier inversion and sparse deconvolution. The eigenmatrix is a data-driven constr…
Eigenmatrix for unstructured sparse recovery
Lexing Ying
This note considers the unstructured sparse recovery problems in a general form. Examples include rational approximation, spectral function estimation, Fourier inversion, Laplace i…