3 papers
math.NA2026
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.NA2026
A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation
Elle Buser, Julianne Chung, Hugo DÃaz +1
We consider inverse problems with linear forward models and Gaussian priors, but with unknown hyperparameters that may arise from the model, the noise, or the specification of the…
math.NA2026
Efficient sampling approaches based on generalized Golub-Kahan methods for large-scale hierarchical Bayesian inverse problems
Elle Buser, Julianne Chung
Uncertainty quantification for large-scale inverse problems remains a challenging task. For linear inverse problems with additive Gaussian noise and Gaussian priors, the posterior…