论文标题

原始双重分裂方案,通过回溯进行处理,用于使用题词约束和稀疏分析正则化

Primal-dual splitting scheme with backtracking for handling with epigraphic constraint and sparse analysis regularization

论文作者

Denneulin, Laurence, Pustelnik, Nelly, Langlois, Maud, Loris, Ignace, Thiébaut, Éric

论文摘要

涉及梯度下降的许多近端算法的收敛依赖于其Lipschitz常数。为了避免计算它,可以使用回溯规则。尽管已经为前向算法(FBWB)设计了这样的规则,但是当将线性运算符的非差异性惩罚添加到约束中时,此方案还不够灵活。在这项工作中,我们提出了原始偶偶有方案(PDWB)的回溯规则,并评估其在电视惩罚下在高对比度极化成像中的题词约束高动力重建的高度动力重建。

The convergence of many proximal algorithms involving a gradient descent relies on its Lipschitz constant. To avoid computing it, backtracking rules can be used. While such a rule has already been designed for the forward-backward algorithm (FBwB), this scheme is not flexible enough when a non-differentiable penalization with a linear operator is added to a constraint. In this work we propose a backtracking rule for the primal-dual scheme (PDwB), and evaluate its performance for the epigraphical constrained high dynamical reconstruction in high contrast polarimetric imaging, under TV penalization.

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