论文标题
快速迭代算法用于盲期检索：一项调查
Fast Iterative Algorithms for Blind Phase Retrieval: A survey
论文作者
论文摘要
在纳米级成像技术和超快激光器中，重建程序通常被表达为盲期检索（BPR）问题，其中必须同时从无量数据中共同恢复样品和探针（学生）。该调查首先提出了BPR的数学公式，相关的非线性优化问题，然后简要审查了最近的迭代算法。它主要由三种类型的算法组成，包括基于运算符的一阶优化方法，使用Hessian的二阶算法和子空间方法。进一步讨论了实验问题和理论分析的未来研究方向。
In nanoscale imaging technique and ultrafast laser, the reconstruction procedure is normally formulated as a blind phase retrieval (BPR) problem, where one has to recover both the sample and the probe (pupil) jointly from phaseless data. This survey first presents the mathematical formula of BPR, related nonlinear optimization problems and then gives a brief review of the recent iterative algorithms. It mainly consists of three types of algorithms, including the operator-splitting based first-order optimization methods, second order algorithm with Hessian,and subspace methods. The future research directions for experimental issues and theoretical analysis are further discussed.
