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The weighted GS-PIA algorithm for cubic B-spline curve interpolations and conve...

Liu, Zhongyun; Yang, Jian; Xu, Xiaofei; Lin, Mengzhu; Zhang, Yulin

The weighted Gauss-Seidel-progressive iterative approximation (WGS-PIA) algorithm for cubic B-spline curve interpolations is considered in this paper. The convergence of the WGS-PIA algorithm is analyzed, and an upper bound whichis strictly smaller than one for the contraction factor of this WGS-PIA algorithm is derived. It is shown that for cubic B-spline curve interpolations, the GS-PIA algorithm converges fa...


Improving genetic prediction by leveraging genetic correlations among human dis...

Maier, Robert M.; Zhu, Zhihong; Lee, Sang Hong; Trzaskowski, Maciej; Ruderfer, Douglas M.; Stahl, Eli A.; Ripke, Stephan; Wray, Naomi R.; Yang, Jian

Genomic prediction has the potential to contribute to precision medicine. However, to date, the utility of such predictors is limited due to low accuracy for most traits. Here theory and simulation study are used to demonstrate that widespread pleiotropy among phenotypes can be utilised to improve genomic risk prediction. We show how a genetic predictor can be created as a weighted index that combines published...


Genome-wide association analyses identify new risk variants and the genetic arc...

van Rheenen, Wouter; Shatunov, Aleksey; Dekker, Annelot M.; McLaughlin, Russell L.; Diekstra, Frank P.; Pulit, Sara L.; van der Spek, Rick A. A.

To elucidate the genetic architecture of amyotrophic lateral sclerosis (ALS) and find associated loci, we assembled a custom imputation reference panel from whole-genome-sequenced patients with ALS and matched controls (n = 1,861). Through imputation and mixed-model association analysis in 12,577 cases and 23,475 controls, combined with 2,579 cases and 2,767 controls in an independent replication cohort, we fin...


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