4 papers
Hypothesis Testing in Imaging Inverse Problems
Yiming Xi, Konstantinos Zygalakis, Marcelo Pereyra
This paper proposes a framework for semantic hypothesis testing tailored to imaging inverse problems. Modern imaging methods struggle to support hypothesis testing, a core componen…
Efficient Bayesian Computation Using Plug-and-Play Priors for Poisson Inverse Problems
Teresa Klatzer, Savvas Melidonis, Marcelo Pereyra +1
This paper studies plug-and-play (PnP) Langevin sampling strategies for Bayesian inference in low-photon Poisson imaging problems, a challenging class of problems with significant…
Bayesian computation with generative diffusion models by Multilevel Monte Carlo
Abdul-Lateef Haji-Ali, Marcelo Pereyra, Luke Shaw +1
Generative diffusion models have recently emerged as a powerful strategy to perform stochastic sampling in Bayesian inverse problems, delivering remarkably accurate solutions for a…
Statistical modelling and Bayesian inversion for a Compton imaging system: application to radioactive source localisation
Cecilia Tarpau, Ming Fang, Konstantinos C. Zygalakis +3
This paper presents a statistical forward model for a Compton imaging system, called Compton imager. This system, under development at the University of Illinois Urbana Champaign,…