Papers › The Proximal Map of the Weighted Mean Absolute Error

The Proximal Map of the Weighted Mean Absolute Error

27 Sep 2022arXiv:2209.13545links table onlyarchive 2025-07-28

Lukas Baumgärtner, Roland Herzog, Stephan Schmidt, Manuel Weiß

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We investigate the proximal map for the weighted mean absolute error function. An algorithm for its efficient and vectorized evaluation is presented. As a demonstration, this algorithm is applied as part of a checkerboard algorithm to solve a total-variation image denoising (ROF) problem as well as a non-smooth energy minimization problem.

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