Consequences of PCA graphs, SNP codings, and PCA variants for elucidating population structure

Compressive PCA on Graphs

Randomized algorithms reduce the complexity of low-rank recovery methods only w.r.t dimension p of a big dataset Y ∈ <p×n. However, the case of large n is cumbersome to tackle without sacrificing the recovery. The recently introduced Fast Robust PCA on Graphs (FRPCAG) approximates a recovery method for matrices which are low-rank on graphs constructed between their rows and columns. In this pap...

Cluster analysis and PCA for modeling population structure

Case-control studies for association are widely used for finding genetic variants causally associated with phenotypes. Unfortunately, population structure can induce false positives. For instance, if cases and controls have different genetic backgrounds, differences in frequencies of distinct forms of variants might be due to differences in ancestral population of origin. Traditional approaches...

EM Algorithms for PCA and Sensible PCA

Circle of Willis Variants: Fetal PCA

We sought to determine the prevalence of fetal posterior cerebral artery (fPCA) and if fPCA was associated with specific stroke etiology and vessel territory affected. This paper is a retrospective review of prospectively identified patients with acute ischemic stroke from July 2008 to December 2010. We defined complete fPCA as absence of a P1 segment linking the basilar with the PCA and partia...

A Thermodynamic Study of the Interactions between Acetamide Derivatives and PCA-PEG-PCA Copolymers: ONIOM Calculations

To improve drug selectivity toward target cells, one interesting approach for drug delivery is to use polymer nanoparticles. A two-layered ONIOM Becke3- LYP: UFF calculation was carried out to study the structural and thermodynamic properties of the interaction between acetamide derivatives and the PCA-PEG-PCA copolymers. The Interaction enthalpies and the Gibbs free energies between acetamide ...