首先,给出了拟概率空间上结构风险最小化原则。然后,为了解决在拟概率空间上结构风险是否一致收敛到期望风险,也就是根据这个最小化原则结构风险是否能收敛到最小可能的风险,给出并证明了结构风险最小化原则的一致收敛性。
The Structural Risk Minimization principle(SRM) on quasi-probability space is proposed.Then,in order to settle the question whether the structural risk converges to the expected risk on quasi-probability space,i.e.whether the structural risk converges to the smallest possible risk on the basis of the SRM,the consistency of this principle is given and proven.