Linear least squares fit when both variables are affected by equal uncorrelated errors

Preconditioning of linear least-squares problems by identifying basic variables

The preconditioning of linear least-squares problems is a hard task. The linear model underpinning least-squares problems, that is the overdetermined matrix defining it, does not have the properties of differential problems that make standard preconditioners effective. Incomplete Cholesky techniques applied to the normal equations do not produce a well conditioned problem. We attempt to remove ...

Fourth Total Least Squares and Errors-in-Variables Modeling Workshop

Total least squares and errors-in-variables modeling

The main purpose of this special issue is to present an overview of the progress of a modeling technique which is known as total least squares (TLS) in computational mathematics and engineering, and as errors-in-variables (EIV) modeling or orthogonal regression in the statistical community. The TLS method is one of several linear parameter estimation techniques that has been devised to compensa...

Identification of Linear Systems with Errors in Variables Using Separable Nonlinear Least-squares

It is well-known that the least-squares identification method generally gives biased parameter estimates when the observed input-output data are corrupted with noise. If the noise acting on both the input and output is white, and if the noise variances are known, or if estimates of the noise variances are available, then the principle of biasedcompensated least-squares (CLS) can readily be used...

Automated Indexing of Mammography Reports Using Linear Least Squares Fit

Radiologists routinely document mammography results in free text dictations. In the last decade, there has been an increase in the volume of mammography performed in the U.S. As a result, The American College of Radiology has standardized the practice of screening mammography by introducing a controlled vocabulary and practice standards tracked by audits. Extracting data from these free text re...