The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF me...The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger （NLS） equation and the complex Ginzburg-Landau （GL） equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.展开更多
Matrix factorization(MF) has been proved to be a very effective technique for collaborative filtering(CF),and hence has been widely adopted in today's recommender systems.Yet due to its lack of consideration of th...Matrix factorization(MF) has been proved to be a very effective technique for collaborative filtering(CF),and hence has been widely adopted in today's recommender systems.Yet due to its lack of consideration of the users' and items' local structures,the recommendation accuracy is not fully satisfied.By taking the trusts among users' and between items' effect on rating information into consideration,trust-aware recommendation systems(TARS) made a relatively good performance.In this paper,a method of incorporating trust into MF was proposed by building user-based and item-based implicit trust network under different contexts and implementing two implicit trust-based context-aware MF(ITMF)models.Experimental results proved the effectiveness of the methods.展开更多
文摘The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger （NLS） equation and the complex Ginzburg-Landau （GL） equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.
文摘Matrix factorization(MF) has been proved to be a very effective technique for collaborative filtering(CF),and hence has been widely adopted in today's recommender systems.Yet due to its lack of consideration of the users' and items' local structures,the recommendation accuracy is not fully satisfied.By taking the trusts among users' and between items' effect on rating information into consideration,trust-aware recommendation systems(TARS) made a relatively good performance.In this paper,a method of incorporating trust into MF was proposed by building user-based and item-based implicit trust network under different contexts and implementing two implicit trust-based context-aware MF(ITMF)models.Experimental results proved the effectiveness of the methods.
