提出变量可分离函数的径向基函数网络拟合模型(Fitting Model based Radial Basis Function network to Variable Separable Function,VSRBF)及其学习算法并分析VSRBF的VC维.VSRBF是一个由多个子径向基函数网络组成的分工协作系统,由于...提出变量可分离函数的径向基函数网络拟合模型(Fitting Model based Radial Basis Function network to Variable Separable Function,VSRBF)及其学习算法并分析VSRBF的VC维.VSRBF是一个由多个子径向基函数网络组成的分工协作系统,由于把高维模型分解为低维模型,与传统径向基函数网络(Based Radial Basis Function Network,RBF)相比,VSRBF不仅明显地降低了系统复杂性而且网络的收敛速度更快.证明了VSRBF的VC维低于传统RBF的VC维,实验表明VSRBF在处理高维模型的行为明显优于RBF.展开更多
When developing models there is always a trade-off between model complexity and model fit. In this paper, a measure of learning model complexity based on VC dimension is presented, and some relevant mathematical theor...When developing models there is always a trade-off between model complexity and model fit. In this paper, a measure of learning model complexity based on VC dimension is presented, and some relevant mathematical theory surrounding the derivation and use of this metric is summarized. The measure allows modelers to control the amount of error that is returned from a modeling system and to state upper bounds on the amount of error that the modeling system will return on all future, as yet unseen and uncollected data sets. It is possible for modelers to use the VC theory to determine which type of model more accurately represents a system.展开更多
文摘提出变量可分离函数的径向基函数网络拟合模型(Fitting Model based Radial Basis Function network to Variable Separable Function,VSRBF)及其学习算法并分析VSRBF的VC维.VSRBF是一个由多个子径向基函数网络组成的分工协作系统,由于把高维模型分解为低维模型,与传统径向基函数网络(Based Radial Basis Function Network,RBF)相比,VSRBF不仅明显地降低了系统复杂性而且网络的收敛速度更快.证明了VSRBF的VC维低于传统RBF的VC维,实验表明VSRBF在处理高维模型的行为明显优于RBF.
文摘When developing models there is always a trade-off between model complexity and model fit. In this paper, a measure of learning model complexity based on VC dimension is presented, and some relevant mathematical theory surrounding the derivation and use of this metric is summarized. The measure allows modelers to control the amount of error that is returned from a modeling system and to state upper bounds on the amount of error that the modeling system will return on all future, as yet unseen and uncollected data sets. It is possible for modelers to use the VC theory to determine which type of model more accurately represents a system.