Inverse problems involve deducing the underlying characteristics of a system from observational data, rather than from direct measurement. In the realm of differential operators, this approach focuses ...

(A) Left: The sharp image (ground truth) and the motion blur kernel used. Right: The noise-corrupted input images and the deblurred outputs. (B) Projection of the data onto the 2D space formed by the ...

Check back in Fall 2025. Abstract: Constitutive or material models provide a mathematical description of how solids respond to mechanical stimuli. For example, an isotropic linear elastic constitutive ...

Ensemble Kalman Inversion (EKI) is a computational framework aimed at addressing inverse problems – the process of inferring unknown parameters or functions from observable data. In an inverse problem ...