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- W2980354672 abstract "In this article, we introduce a new proximal interior point algorithm (PIPA). This algorithm is able to handle convex optimization problems involving various constraints where the objective function is the sum of a Lipschitz differentiable term and a possibly nonsmooth one. Each iteration of PIPA involves the minimization of a merit function evaluated for decaying values of a logarithmic barrier parameter. This inner minimization is performed thanks to a finite number of subiterations of a variable metric forward-backward method employing a line search strategy. The convergence of this latter step as well as the convergence the global method itself is analyzed. The numerical efficiency of the proposed approach is demonstrated in two image processing applications." @default.
- W2980354672 created "2019-10-25" @default.
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- W2980354672 creator A5062777204 @default.
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- W2980354672 date "2019-10-19" @default.
- W2980354672 modified "2023-10-15" @default.
- W2980354672 title "A Proximal Interior Point Algorithm with Applications to Image Processing" @default.
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- W2980354672 doi "https://doi.org/10.1007/s10851-019-00916-w" @default.
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