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Recovering Edges in Ill-Posed Inverse Problems: Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization
2015/8/21
We consider a model problem of recovering a function f(x1; x2) from noisy Radon
data. The function f to be recovered is assumed smooth apart from a discontinuity
along a C2 curve { i.e. an edge. We ...
Recovering Edges in Ill-Posed Inverse Problems:Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization Singular Value Decomposition Radon Transform Deconvolution Edge Edge-Preserving Regularization Wavelets Curvelets Ridgelets Wavelet-Vaguelette-Decomposition Wavelet Shrinkage Minimax Estimation Optimal Rates of Convergence White Noise Model
2015/6/17
We consider a model problem of recovering a function f(x1, x2) from noisy Radon data. The function f to be recovered is assumed smooth apart from a discontinuity along a C2 curve – i.e. an edge. We us...
Minimax Signal Detection in Ill-Posed Inverse Problems
Minimax Signal Detection Ill-Posed Inverse Problems
2010/3/9
We consider the signal detection problem for mildly, severely and extremely
ill-posed inverse problems with Sobolev, analytic and generalized analytic classes
of functions under the Gaussian white n...