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An estimation method known as least absolute shrinkage and selection operator (LASSO) or $\ell _{1}$ -regularized LS estimation has been found to perform well in a number of applications. In this paper, we use the majorize–minimize method to develop an algorithm for minimizing the LASSO objective function, which is the sum of a linear LS objective function plus an $\ell _{1}$ penalty term. The...
This paper presents a novel approach to water-current compensation for autonomous underwater vehicle (AUV) state estimation and navigation. The approach is twofold: first, an extended Kalman filter estimates both the AUV state and water-currents in the north and east directions; second, these water-current estimates are used in a modified heading controller to calculate a current-compensated desired...
Background Genotyping-by-sequencing (GBS) is becoming an attractive alternative to array-based methods for genotyping individuals for a large number of single nucleotide polymorphisms (SNPs). Costs can be lowered by reducing the mean sequencing depth, but this results in genotype calls of lower quality. A common analysis strategy is to filter SNPs to just those with sufficient depth, thereby greatly...
The commonly used principal component analysis (PCA) assumes circular Gaussian distribution for the observed complex random variables. This paper extends PCA to the general case where the signals can be noncircular, and introduces a new PCA method called the noncircular PCA (ncPCA). We study the properties of ncPCA and propose an efficient algorithm for its implementation. Numerical results are presented...
Dynamic contrast-enhanced (DCE) MRI is a powerful tool for assessing tumour vasculature and for predicting patient response to therapy. DCE-MRI data can be quantified using pharmacokinetic models, allowing extraction of physiologically meaningful parameters. However, in clinical scans of rectal tumours many voxels within the tumour volume fail to produce valid pharmacokinetic parameters. By performing...
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