Determination of Lateral Modulation Apodization Functions Using a Regularized, Weighted Least Squares Estimation

Determination of Lateral Modulation Apodization Functions Using a Regularized, Weighted Least Squares Estimation

Recently, work in this group has focused on the lateral cosine modulation method (LCM) which can be used for next-generation ultrasound (US) echo imaging and tissue displacement vector/strain tensor measurements (blood, soft tissues, etc.). For instance, in US echo imaging, a high lateral spatial resolution as well as a high axial spatial resolution can be obtained, and in tissue displacement v...

Power System State Estimation Using Weighted Least Squares (WLS) and Regularized Weighted Least Squares(RWLS) Method

In this paper, a new formulation for power system state estimation is proposed. The formulation is based on regularized least squares method which uses the principle of Thikonov’s regularization to overcome the limitations of conventional state estimation methods. In this approach, the mathematical unfeasibility which results from the lack of measurements in case of ill-posed problems is elimin...

Retrieving Three Dimensional Displacements of InSAR Through Regularized Least Squares Variance Component Estimation

Measuring the 3D displacement fields provide essential information regarding the Earth crust interaction and the mantle rheology. The interferometric synthetic aperture radar (InSAR) has an appropriate capability in revealing the displacements of the Earth’s crust. Although, it measures the real 3D displacements in the line of sight (LOS) direction. The 3D displacement vectors can be retrieved ...

Regularized Least-Squares Classification

We consider the solution of binary classification problems via Tikhonov regularization in a Reproducing Kernel Hilbert Space using the square loss, and denote the resulting algorithm Regularized Least-Squares Classification (RLSC). We sketch the historical developments that led to this algorithm, and demonstrate empirically that its performance is equivalent to that of the well-known Support Ve...

Weighted Least Squares Estimation with Missing Data