Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs
One way of estimating a function from indirect, noisy measurements is to regularise an inverse of its Fourier transformation, using properties of the adjoint of the transform that degraded the function in the first place. It is known that when the function is smooth, this approach can perform well and produce estimators that have optimal convergence rates. When the function is unsmooth, in particular when it suffers jump discontinuities, an analogue of this approach is to invert the wavelet...[Show more]
|Collections||ANU Research Publications|
|Source:||Journal of Multivariate Analysis|
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