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math.NA2026
A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation
Elle Buser, Julianne Chung, Hugo Díaz +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.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
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…