标题： MAGPIE：用于叠层相位检索的多级自适应引导求解器 显示英文标题

标题： MAGPIE: Multilevel-Adaptive-Guided Solver for Ptychographic Phase Retrieval

摘要： 我们介绍了MAGPIE（多级自适应引导ptychographic迭代引擎），这是一种求解ptychographic相位恢复问题的随机多网格求解器。ptychographic相位恢复问题本质上是非凸且不适定的。为了解决这些挑战，我们将原始的非线性和非凸反问题重新表述为二次代理模型的迭代最小化问题，该代理模型主要针对原始目标函数。此代理不仅确保了有利的收敛特性，还推广了ptychographic迭代引擎（PIE）算法家族。通过使用多网格方法求解代理模型，MAGPIE在收敛速度和重建质量方面相较于传统方法取得了显著提升。 显示英文摘要

摘要： We introduce MAGPIE (Multilevel-Adaptive-Guided Ptychographic Iterative Engine), a stochastic multigrid solver for the ptychographic phase-retrieval problem. The ptychographic phase-retrieval problem is inherently nonconvex and ill-posed. To address these challenges, we reformulate the original nonlinear and nonconvex inverse problem as the iterative minimization of a quadratic surrogate model that majorizes the original objective. This surrogate not only ensures favorable convergence properties but also generalizes the Ptychographic Iterative Engine (PIE) family of algorithms. By solving the surrogate model using a multigrid method, MAGPIE achieves substantial gains in convergence speed and reconstruction quality over traditional approaches.