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math.NA2025

Stochastic Multigrid Method for Blind Ptychographic Phase Retrieval

Borong Zhang, Junjing Deng, Yi Jiang +1

We present eMAGPIE (extended Multilevel-Adaptive-Guided Ptychographic Iterative Engine), a stochastic multigrid method for blind ptychographic phase retrieval that jointly recovers…

math.NA2025

A Joint Variational Framework for Multimodal X-ray Ptychography and Fluorescence Reconstruction

Chengru Eric Zou, Elle Buser, Zichao Wendy Di +1

Recovering high-resolution structural and compositional information from coherent X-ray measurements involves solving coupled, nonlinear, and ill-posed inverse problems. Ptychograp…

math.NA2025

Structured Column Subset Selection for Bayesian Optimal Experimental Design

Hugo Díaz, Arvind K. Saibaba, Srinivas Eswar +2

We consider optimal experimental design (OED) for Bayesian inverse problems, where the experimental design variables have a certain multiway structure. Given different experime…

math.NA2025

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

Borong Zhang, Qin Li, Zichao Wendy Di

We introduce MAGPIE (Multilevel-Adaptive-Guided Ptychographic Iterative Engine), a stochastic multigrid solver for the ptychographic phase-retrieval problem. The ptychographic phas…

math.NA2024

Homomorphic data compression for real time photon correlation analysis

Sebastian Strempfer, Zichao Wendy Di, Kazutomo Yoshii +8

The construction of highly coherent x-ray sources has enabled new research opportunities across the scientific landscape. The maximum raw data rate per beamline now exceeds 40 GB/s…