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Support vector machine (SVM) algorithms show a series of characteristics, such as sparse solutions and implicit regularization, which make them attractive for solving sparse deconvolution problems.
The use of smooth basis functions provides the reconstruction algorithms with an implicit regularization mechanism, very appropriate for highly noisy conditions such as those present in high-resolution electron tomographic studies.
If we rejected the idea of introducing mathematical regularization in the inverse problem, we could not avoid adding some a priori information (thus implicit regularization) derived from other magnetic field models.
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This implicit hybrid method with regularization is based on the CQ method, extragradient method and gradient projection algorithm with regularization.
Another is an implicit hybrid method with regularization which is based on the CQ method, extragradient method and gradient projection algorithm with regularization.
This implicit hybrid method with regularization is based on the CQ method, extragradient method and gradient projection algorithm (GPA) with regularization.
This implicit iterative method with regularization is based on the extragradient method, approximate proximal method and gradient projection algorithm (GPA) with regularization.
The multi-step implicit iterative method with regularization is based on three well-known methods: the extragradient method, approximate proximal method and gradient projection algorithm with regularization.
On the other hand, we also establish a strong convergence result via an implicit hybrid method with regularization for solving these two problems.
In Section 3, by discretizing the implicit method of the regularization obtained in Section 2, we introduce an iteration process and prove its strong convergence.
One is called a multi-step implicit iterative method with regularization which is based on three well-known methods: extragradient method, approximate proximal method and gradient projection algorithm with regularization.
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CEO of Professional Science Editing for Scientists @ prosciediting.com