3 papers
math.NA2026
Joint Near-Field Holotomography Reconstruction with a Phase-Guided Bregman TV Regularization
Jin Liu, Johannes Hagemann, Martin Burger
Near-field holotomography combines coherent diffraction imaging with tomographic acquisition to recover the three-dimensional complex refractive index of a specimen. Since the meas…
math.NA2026
PIML-OFEM: A New Large-Scale Structural Analysis Method Based on Problem-Independent Machine Learning and Overlapping Finite Element Technique
Yilin Guo, Chang Liu, Zongliang Du +7
High-resolution analysis and design of large-scale heterogeneous structures require accurate reduced-order models and efficient online computation. Existing multiscale methods must…
math.NA2026
An operator-splitting algorithm for the hypergraph -Laplacian with applications to missing data recovery
Kehan Shi, Jin Liu, Martin Burger
Hypergraph -Laplacian regularization is a fundamental model in data analysis with successful applications in various tasks. It aims to minimize a nonsmooth and typically large-s…