Despite many proposed algorithms to provide robustness deep learning (DL) models, DL models remain susceptible adversarial attacks. We hypothesize that the vulnerability of stems from two factors. The first factor is data sparsity which in high dimensional input space, there exist large regions outside support distribution. second existence redundant parameters models. Owing these factors, diff...

The statistical analysis of the soon to come Planck satellite CMB data will help set tighter bounds on major cosmological parameters. On the way, a number of practical difficulties need to be tackled, notably that several other astrophysical sources emit radiation in the frequency range of CMB observations. Some level of residual contributions, most significantly in the galactic region and at t...

We consider the tree structured group Lasso where the structure over the features can be represented as a tree with leaf nodes as features and internal nodes as clusters of the features. The structured regularization with a pre-defined tree structure is based on a group-Lasso penalty, where one group is defined for each node in the tree. Such a regularization can help uncover the structured spa...

Family harmony is an important part of social stability and harmony. Facing the rapid growth divorce disputes, how to hear cases quickly fairly urgent matter be solved. Based on judgment documents from courts located in Southwest China, this paper studies evaluate predict whether or not a case should divorced. These are characterized by their unbalance sparsity; besides that, most variables bea...