This project explores the field of inverse problems, a class of mathematical challenges where the goal is to determine the underlying cause of observed effects, applied to the field of computed ...

This repository includes the accompanying code for the paper "Comprehensive Examination of Unrolled Networks for Solving Linear Inverse Problems," which contains a novel generalized deep architecture ...

In the context of inverse problems, a mathematical model of the measurements is called the direct problem. To understand this term, let us consider a model for obstetric sonography. An ultrasonic ...

Inverse scattering problems are concerned with deducing the characteristics of an object or medium from the scattered waves produced when an incident field interacts with it. This domain spans ...

Inverse problems research lies at the intersection of pure and applied mathematics. The forward problem corresponding to an inverse problem is usually a well defined problem in physics, engineering or ...

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 ...

Inverse problems for magnetic Schrödinger operators are at the forefront of mathematical physics and analysis, as they address the challenge of determining unknown magnetic and electric potentials ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most difficult tasks in numerical ...