Least-Squares Fitting by Visualization of the Sum of Squares Space

PEDOMODELS FITTING WITH FUZZY LEAST SQUARES REGRESSION

Pedomodels have become a popular topic in soil science and environmentalresearch. They are predictive functions of certain soil properties based on other easily orcheaply measured properties. The common method for fitting pedomodels is to use classicalregression analysis, based on the assumptions of data crispness and deterministic relationsamong variables. In modeling natural systems such as s...

Fitting Distances by Least Squares

Least squares fitting

Technical Note: Review of methods for linear least-squares fitting of data and application to atmospheric chemistry problems C. A. Cantrell National Center for Atmospheric Research, Atmospheric Chemistry Division, 1850 Table Mesa Drive, Boulder, CO 80305, USA Received: 13 February 2008 – Accepted: 21 February 2008 – Published: 1 April 2008 Correspondence to: C. A. Cantrell ([email protected]) P...

Transformations and algorithms for least sum of squares hypersphere fitting

A problem from shape fitting is finding the sphere which has the least sum of squares fit to a set of points. Most current algorithms for this use an iterative process, with randomized restarting. We present, instead, two geometric transformations, and algorithms derived using them, which present alternate methods of solving the problem. We discuss running of these algorithms in three dimension...

Tutorial: Least-Squares Fitting

Least-squares fitting, first developed by Carl Friedrich Gauss, is arguably the most widely used technique in statistical data analysis. It provides a method through which the parameters of a model can be optimised in order to obtain the best fit to a data set through the minimisation of the squared differences between the model and the data. This tutorial document describes the closely associa...