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Showing 1 to 4 of 4 for “"Tikhonov regularisation"”.
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A semigroup approach to the numerical solution of parabolic differential equations
… The third chapter is devoted to applications in regularisation theory. The inverse problems to the homogeneous and the inhomogeneous problem are well-known to be ill-posed such that we have to apply some regularisation technique. After a short introduction to the classical theory, we present a …
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Novel higher order regularisation methods for image reconstruction
… These methods are formulated in the context of Tikhonov regularisation. We focus on regularisation techniques in which the regulariser incorporates second order derivatives or a sophisticated combination of first and second order derivatives. The introduction of higher order derivatives in the …
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Distributional fixed point equation model of island nucleation processes during submonolayer deposition
… the inverse problem in another way: by using the Tikhonov regularisation method, and compare these results against each other and with the theoretical predictions. For the case of the gaps, we can directly measure P during the kinetic Monte Carlo simulations. We compare the results to the …
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Statistical inference and computation in elliptic PDE models
… statistical convergence rates for nonparametric Tikhonov-type estimators, which can be interpreted also as Bayesian maximum a posteriori (MAP) estimators arising from certain Gaussian process priors. The theory is derived in a general setting for non-linear inverse problems and then applied to …