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It corresponds to a spectral regularization method; see [27].
We employ spectral regularization techniques for its stable solution.
We enforce compatibility between adjacent bands using the spectral regularization.
where γ is a constant balancing the contribution of the spectral regularization term.
The pre-trained dictionary has the adaptivity to image local structure, and the spectral regularization can maintain the spectral information very well.
Zheng and Wei [27, 28] investigated a time-fractional inverse diffusion problem by using a spectral regularization method and a modified equation method.
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A new class of nonparametric covariance function estimators in terms of various spectral regularizations of an operator associated with a reproducing kernel Hilbert space is developed.
The images are created to test the inverse solution with respect to spectral information, regularization, cross-talk and accuracy.
Linear, single-step reconstructed images of hemodynamic changes using non-spectral (denoted 'Non-Spec'), spectral with conventional regularization ('Conv-Spec'), and spectral with SVD-based regularization ('Svd-Spec') are shown in Figs. 4 – 6 with 0%, 0.2% and 0.5% added Gaussian random noise respectively.
To cope with this problem, we propose a novel low rank constraint and spatial spectral total variation regularization model.
We first cast LDA as a least square problem based on the spectral regression, then regularization technique is used to model the global and local geometric structures.
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