A new linear estimator is proposed, which we refer to as the covariance shaping least-squares (CSLS) estimator, for estimating a set of unknown deterministic parameters x observed through a known linear transformation H and corrupted by additive noise. The CSLS estimator is a biased estimator directed at improving the performance of the traditional least-squares (LS) estimator by choosing the e...

Neural networks such as multilayer perceptrons and radial basis function networks have been very successful in a wide range of problems. In this paper we give a short introduction to some new developments related to support vector machines (SVM), a new class of kernelbased techniques introduced within statistical learning theory and structural risk minimization. This new approach leads to solvi...

A recent study on the condition numbers of mixed least squares-total squares (MTLS) problem is due to Zheng and Yang (Numer Linear Algebra Appl. 2019;26(4):e2239). However, associated expressions are not compact Kronecker-product operations make computation costly. In this paper, we first present new alternative closed formula for order perturbation estimate MTLS solution. Then reveal relations...

The least squares (LS) can be used for nonlinear autoregressive (NAR) and nonlinear autoregressive moving average (NARMA) parameter estimation. However, for nonlinear cases, the LS results in biased parameter estimation due to its assumption that the independent variables are noise free. The total least squares (TLS) is another method that can used for nonlinear parameter estimation to increase...

Blood flow in large vessels is typically modeled using the Navier-Stokes equations for the fluid domain and elasticity equations for the vessel wall. As the wall deforms, additional complications are introduced because the shape of the fluid domain changes, necessitating the use of a re-mapping or re-griding process for the fluid region. Typically, this system (fluid, solid, mapping) is solved ...

To characterize color values measured by color devices (e.g. scanners, color copiers and color cameras) in a device{independent fashion these values must be transformed to colorimetric tristimulus values. Often it is assumed that RGBs are approximately linearly related to XYZs and so this transformation is determined by least{squares (LS) linear regression. While the LS method is guaranteed to ...

Three chemometric methods; partial least squares regression (PLS), principal component regression (PCR) and least-squares support vector machines (LS-SVM) were applied for simultaneous determination of carbidopa and levodopa in synthetic mixtures and real samples. The simultaneous determination of these drugs is a difficult problem due to spectral interferences. The proposed methods were used f...

This paper presents channel estimation techniques for demodulate and forward (DeF) wireless relay networks (WRN) using least squares (LS) algorithm and its variants. Channel estimation is a significant issue in wireless relay networks as it plays a major role in data detection of coherent communication systems. Channel coefficients (or) channel state information (CSI) need to be estimated by al...