We present a new technique for comparing models using a median form of cross-validation and least median of squares estimation (MCV-LMS). Rather than minimizing the sums of squares of residual errors, we minimize the median of the squared residual errors. We compare this with a robustified form of cross-validation using the Huber loss function and robust coefficient estimators (HCV). Through ex...

Solid phase diffusivity Ds is a key parameter in Lithium-Ion cell models because solid phase diffusion typically dominates the voltage transients. The Galvanostatic Intermittent Titration Technique (GITT) is easy to implement and universally accepted as the standard for diffusivity measurement, but the accuracy of GITT diffusivity measurement is unknown. This paper develops a Least Squares GITT...

In 1950, Forsythe and Leibler (1950) introduced a statistical technique for finding the inverse of a matrix by characterizing the elements of the matrix inverse as expected values of a sequence of random walks. Barto and Duff (1994) subsequently showed relations between this technique and standard dynamic programming and temporal differencing methods. The advantage of the Monte Carlo matrix inv...

This paper proposes the use of the least-squares support vector machine (LS-SVM) as an alternative multivariate calibration method for the simultaneous quantification of some common adulterants (starch, whey or sucrose) found in powdered milk samples, using NIR spectroscopy with direct measurements by diffuse reflectance. Due to the spectral differences of the three adulterants a nonlinear beha...

A common technique for source localization is to utilize the time-of-arrival (TOA) measurements between the source and several spatially separated sensors. The TOA information defines a set of circular equations from which the source position can be calculated with the knowledge of the sensor positions. Apart from nonlinear optimization, least squares calibration (LSC) and linear least squares ...

A common technique for source localisation is to utilise the time-of-arrival (TOA) measurements between the source and several spatially separated sensors. The TOA information defines a set of circular equations from which the source position can be calculated with the knowledge of the sensor positions. Apart from nonlinear optimisation, least squares calibration (LSC) and linear least squares ...

This paper introduces the first adaptive least-squares finite element method (LS-FEM) for the Stokes equationswith optimal convergence rates based on the newest vertex bisection with lowest-order Raviart-Thomas and conforming P1 discrete spaces for the divergence least-squares formulation in 2D. Although the least-squares functional is a reliable and efficient error estimator, the novel refinem...