|
Abstract:
|
The static biological networks are known for their sparsity and complexity. In the statistical literature, the undirected graphical models provide a useful way to describe their nature in higher dimensions. Loop-based Multivariate Adaptive Regression Splines (LMARS), which is one of the strong nonparametric approaches for modeling these complex networks as the alternative of these approaches such as Gaussian graphical model, copula GGM and clustering-based methods. Basically, LMARS uses generalized cross-validation as its standard model selection technique like Akaike and Bayesian information criteria in its calculation while detecting the optimal description of the network. However, GCV cannot work properly for higher dimensional biological networks. Thus, we suggest applying Stability Approach to regularization Selection which is a stability-based method for finding the best model by using a random subsampling procedure, as a regularization parameter selection technique within LMARS in place of GCV. Thereby, in this study, we compare the performances of StARS with GCV in LMARS under different dimensional and topological structures while using both real and simulated datasets.
|
