This paper considers the inversion of ill-posed linear operators. To regularise the problem the solution is enforced to lie in a non-convex subset. Theoretical properties for the stable inversion are derived and an iterative algorithm akin to the projected Landweber algorithm is studied. This work extends recent progress made on the efficient inversion of finite dimensional linear systems under...

Most previous studies utilized a log-linear regression model to invert multi-spectral images into bathymetric data. Based on the Levenberg-Marquardt optimization algorithm, we developed an automated method for calibrating the parameters for a non-linear inversion model. Our method has been successfully applied to an IKONOS multispectral image. We compared depth data derived from our model to th...

We investigate the formal expressivity properties of linear transductions, the class of transductions generated by linear transduction grammars, linear inversion transduction grammars and preterminalized linear inversion transduction grammars. While empirical results such as those in previous work are of course an ultimate test of modeling adequacy for machine translation applications, it is eq...

One of the most challenging problems in electromagnetic (EM) geophysical methods is developing fast and stable methods of EM modeling and inversion for 3-D inhomo­ geneous geoelectrical structures. In this paper I present an overview of the research conducted by the Consortium for Electromagnetic Modeling and Inversion (CEMI) at the University of Utah on developing fast forward mod­ eling and i...

The problem of inversion dynamic systems has become widespread while solving the problems control, identification, and measurement arising during design research electrical mechanical systems. Inverting is an effective way implementing disturbance control processes, as well in combined with a predictive model. analysis information sources showed that practical solution most problems, number dif...