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Noisy Laplace deconvolution with error in the operator
Laplace convolution blind deconvolution nonparametric adaptive estima-tion linear inverse problems error in the operator
2013/4/28
We adress the problem of Laplace deconvolution with random noise in a regression framework. The time set is not considered to be fixed, but grows with the number of observation points. Moreover, the c...
Laplace deconvolution and its application to Dynamic Contrast Enhanced imaging
Laplace deconvolution complexity penalty Dynamic Contrast Enhanced imaging
2012/9/19
In the present paper we consider the problem of Laplace deconvolution with noisy discrete observations. The study is motivated by Dynamic Contrast Enhanced imaging using a bolus of contrast agent, a p...
Laplace deconvolution with noisy observations
adaptivity kernel estimation minimax rates Volterra equation
2011/7/19
In the present paper we consider Laplace deconvolution on the basis of discrete noisy data observed on the interval which length may increase with a sample size. Although this problem arises in a vari...