The theory instrument of grey relational analysis is grey relational grade between the sequences. The grey relational grade is a measure of the degree of association between two factors, or between two systems. It describes the relative changes among the various factors in the development process of the system. In turn, we can calculate the grey relational grade, compare and judge the grey rela...

The reduction of dynamic systems has a rich history, with many important applications related to stability, control and verification. Reduction of nonlinear systems is typically performed in an “exact” manner – as is the case with mechanical systems with symmetry – which, unfortunately, limits the type of systems to which it can be applied. The goal of this paper is to consider a more general f...

This paper presents a novel, non-parametric approximate dynamic programming (ADP) algorithm that enjoys dimension-independent approximation and sample complexity guarantees. We obtain this by “kernelizing” recent mathematical program for ADP (the “smoothed linear program”). Loosely, our guarantees show we can exchange the importance of choosing good architecture priori (as required existing app...

We propose an efficient machine learning algorithm for two-stage stochastic programs. This is termed as projected hybrid algorithm, and consists of sub-gradient piecewise linear approximation methods. use the sample information to update on objective function. Then we introduce a projection step, which implemented methods, jump out from local optimum, so that can achieve global optimum. By inno...