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Signal Construction from Inconsistent Nonlinear Equations (SCINE)

This repository contains Octave files from Section 5 of the following paper.

P. L. Combettes and Z. C. Woodstock, A variational inequality model for the construction of signals from inconsistent nonlinear equations, SIAM Journal on Imaging Sciences, to appear.
Preprint: https://arxiv.org/pdf/2105.07380.pdf

Acknowledgements: National Science Foundation Grants DGE-1746939 and CCF-1715671.

Related papers:

  • P. L. Combettes and Z. C. Woodstock, A fixed point framework for recovering signals from nonlinear transformations, Proceedings of the European Signal Processing Conference, pp. 2120–2124. Amsterdam, The Netherlands, January 18–22, 2021.
    Preprint: https://arxiv.org/pdf/2003.01260.pdf

  • P. L. Combettes and Z. C. Woodstock, Reconstruction of functions from prescribed proximal points, Journal of Approximation Theory, vol. 268, art. 105606, 26 pp., August 2021.
    Preprint: https://arxiv.org/pdf/2101.04074.pdf

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