Gene–environment interactions have important implications for elucidating the genetic basis of complex diseases beyond joint function multiple factors and their (or epistasis). In past, G × E been mainly conducted within framework association studies. The high dimensionality interactions, due to complicated form environmental effects presence a large number including gene expressions SNPs, has ...

Bayesian nonparametric regression under a rescaled Gaussian process prior offers smoothness-adaptive function estimation with near minimax-optimal error rates. Hierarchical extensions of this approach, equipped stochastic variable selection, are known to also adapt the unknown intrinsic dimension sparse true function. But it remains unclear if such offer selection consistency, that is, subset i...

In order to clarify the variable selection of Lasso, Lasso is compared with two other methods AIC and stagewise forward. First, that AIC, it discovered has a wider application range than AIC. The data simulation shows under orthonormal design consistent can be solved by using algorithm stepwise selection, removed variables appear again nonorthonormal design, isn’t We continue compare between fo...