Computational inverse problems in electrocardiography

Computational Inverse Problems 3063 Workshop : Computational Inverse Problems

Inverse problem typically deal with the identification of unknown quantities from indirect measurements and appear in many areas in technology, medicine, biology, finance, and econometrics. The computational solution of such problems is a very active, interdisciplinary field with close connections to optimization, control theory, differential equations, asymptotic analysis, statistics, and prob...

Computational and Variational Methods for Inverse Problems

A Computational Framework for Inverse Queries in Statistical Learning Problems

This dissertation addresses the problem of inverting the nonlinear functions that arise in solutions to statistical learning problems. Such problems arise when inverse queries need to be answered. To provide background for the kinds of inverse queries that can arise in learning, we rst brie y present, as examples of the forward problem, the three most common learning problems arising in applica...

Bayesian Computational Techniques for Inverse Problems in Transport Processes

Prior Model Selection for Bayesian Inverse Electrocardiography

The goal of the inverse problem of electrocardiography (ECG) is to reconstruct cardiac electrical sources using body surface potential measurements, and an appropriate mathematical model representing the thorax [1,2]. However, due to attenuation and smoothing that occurs in the thorax, the problem is ill-posed and reliable solutions require regularization. The application of suitable regulariza...