Singularity problems of scatter matrices in Linear Discriminant Analysis (LDA) are challenging and have obtained attention during the last decade. Linear Discriminant Analysis via QR decomposition (LDA/QR) and Direct Linear Discriminant analysis (DLDA) are two popular algorithms to solve the singularity problem. This paper establishes the equivalent relationship between LDA/QR and DLDA. They ca...

QR code(Quick Response Code) is a popular two-dimensional matrix that randomly consists of black and white square modules. While the appearance of QR codes are often visually unpleasant, it leads to the increasing demand for the aesthetic QR codes. However, it may turn out to be unreadable if changes to the modules of the QR code are inadequate. Therefore, to resolve this conflict, we propose a...

The regulation of the quinone reductase (QR) gene as well as other genes involved in detoxification is known to be mediated by an electrophile/antioxidant response element (EpRE/ARE). We have previously observed that QR is up-regulated by the antiestrogen trans-hydroxytamoxifen in breast cancer cells. QR gene regulation by the antiestrogen-occupied estrogen receptor (ER) is mediated by the EpRE...

This paper develops econometric methods for inference and prediction in quantile regression (QR) allowing for persistent predictors. Conventional QR econometric techniques lose their validity when predictors are highly persistent. I adopt and extend a methodology called IVX …ltering (Magdalinos and Phillips, 2009) that is designed to handle predictor variables with various degrees of persistenc...

We consider median regression and, more generally, a possibly infinite collection of quantile regressions in high-dimensional sparse models. In these models, the number of regressors p is very large, possibly larger than the sample size n, but only at most s regressors have a nonzero impact on each conditional quantile of the response variable, where s grows more slowly than n. Since ordinary q...

BACKGROUND The use of qualitative research (QR) methods is recommended as good practice in discrete choice experiments (DCEs). This study investigated the use and reporting of QR to inform the design and/or interpretation of healthcare-related DCEs and explored the perceived usefulness of such methods. METHODS DCEs were identified from a systematic search of the MEDLINE database. Studies were...

Directed migration of neurons is critical in the normal and pathological development of the brain and central nervous system. In Caenorhabditis elegans, the bilateral Q neuroblasts, QR on the right and QL on the left, migrate anteriorly and posteriorly, respectively. Initial protrusion and migration of the Q neuroblasts is autonomously controlled by the transmembrane proteins UNC-40/DCC, PTP-3/...

In this paper, we present the QR Algorithm with Permutations that shows an improved convergence rate compared to the classical QR algorithm. We determine a bound for performance based on best instantaneous convergence, and develop low complexity methods for computing the permutation matrices at every iteration. We use simulations to verify the improvement, and to compare the performance of prop...