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A range of 13 Tikhonov regularisations was pre-computed to allow the right amount of regularisation to be selected according to the noise level found in the data.
Gao et al. [ 12, 13] used the full Radiative Transport Equation, with both angularly-averaged and angularly-resolved data, in conjunction with both L and Total Variation-based regularisation, to solve for sub-problems on meshes of different resolution and with an adaptive region of interest.
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fNote that in practise we also include a regularisation term to constrain the evolution according to the curvature of the boundary.
The approach holds mathematical promise for application in the design of instruments for measuring thermal properties or possibly as a regularisation technique to be applied in conjunction with other inverse approaches to the problem.
The analysis includes in-plane damage, delamination and splitting mechanisms and a nonlocal regularisation scheme to mitigate spurious mesh sensitivity.
We apply a nonlocal regularisation method to a breakage model recently proposed for the constitutive modelling of crushable granular materials.
A computer code is developed and implemented using the BEM multi-region technique and regularisation methods to perform the inverse analysis.
Typically, their errors have been classified as regularisation related to the assignment of word stress, i.e. those patients mostly produced the regular or dominant stress pattern avoiding the irregular or infrequent pattern while preserving syllable and phoneme structures [ 26- 33].
Normalisation is found to be a simple alternative to regularisation for the task of using a RBFN to recursively predict, and thus to capture the dynamics of, a chaotic signal corrupted by additive white Gaussian noise.
The idea is to agree not to conduct mass regularisation of illegal immigrants, to strengthen EU border controls and to harmonise procedures for repatriating illegal immigrants.
Discussions of the conditioning of the Green function matrix which is inverted are included and it is shown that the spatial sampling criterion may be relaxed if conditioning techniques, such as regularisation, are applied to this matrix prior to inversion.
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