Comparison of methods for parameter selection in Tikhonov regularization with application to inverse force determination

By H. Choi, A. Thite, David J. Thompson. 2007

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General framework for transfer path analysis: History, theory and classification of techniques $ (2016, methodology): “Much attention has been devoted to improving the conditioning of the inverse problem by means of singular value decomposition, see for instance the work of Thite and Dobson [39–41,92,93] or an early review of techniques [94].”
A novel shape function approach of dynamic load identification for the structures with interval uncertainty (2016, background): “Choi et al. (2007) researched the performance of several regularization methods so as to reduce the ill-posedness of the inverse operation of the kernel matrix.”
Empirical Bayesian regularization of the inverse acoustic problem (2015, background): “Several papers in the literature provide comparisons of di fferent parameter choice methods, either applied in acoustic s [10, 22–26] or in vibrations [27].”
A novel computational inverse technique for load identification using the shape function method of moving least square fitting (2014, methodology): “These methods are to determine spectrums of excitation loads via the relationship between the frequency response functions of investigated structure and the spectrums of responses measured during operation, or to calculate the characteristics of modal forces through modal coordinate changing [7–9].”