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An alternative approach towards the higher order denoising of images. analytical aspects. (English) Zbl 1384.35019
J. Math. Sci., New York 224, No. 3, 414-441 (2017) and Zap. Nauchn. Semin. POMI 444, 47-88 (2016).
Usually, pattern recognition systems work via the minimization of a cost function with a weighted sum of a quadratic error term together with the variation of the error term. Here one proposes to rather replace the last term by the Hessian matrix of the control function. It is shown that this new problem has one solution.

35J20 Variational methods for second-order elliptic equations
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