Computationally efficient estimators for sequential and resolution-limited inverse problems

DOI10.1214/13-EJS840zbMath1349.62208arXiv1207.0538MaRDI QIDQ364203

Christopher R. Genovese, Darren Homrighausen

Publication date: 6 September 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0538

zbMATH Keywords

deconvolutionsignal processingcomplex Gaussian

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Image analysis in multivariate analysis (62H35) Ill-posedness and regularization problems in numerical linear algebra (65F22) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Applications of statistics to physics (62P35)

Uses Software

• AIRY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
• A statistical perspective on ill-posed inverse problems (with discussion)
• Recovering edges in ill-posed inverse problems: Optimality of curvelet frames.
• Oracle inequalities for inverse problems
• Sharp adaptation for inverse problems with random noise
• Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
• Statistical Regularization of Inverse Problems
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• The multivariate distribution of complex normal variables
• Nonparametric statistical inverse problems
• Detection and Estimation of Improper Complex Random Signals
• Matrix Analysis
• Estimation with Incompletely Specified Loss Functions (the Case of Several Location Parameters)
• Systems of Convolution Equations, Deconvolution, Shannon Sampling, and the Wavelet and Gabor Transforms
• REACT Scatterplot Smoothers: Superefficiency through Basis Economy
• Principles of Digital Communication
• Second-order analysis of improper complex random vectors and processes
• Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)
• Sufficiency and Statistical Decision Functions
• Deconvolution in high-energy astrophysics: science, instrumentation, and methods