一类自适应泛函网络循环结构与算法

Banach压缩映射原理不仅在泛函分析中占有举足轻重的地位,同时也是数值分析中求解代数方程、常微分方程解存在唯一性,以及数学分析中积分方程求解的重要理论依据。它是数学和工程计算中最常用的方法之一。基于Banach压缩映射原理,提出一种自适应泛函网络循环结构和算法,通过训练该结构使其逼近于目标函数的不动点。通过算例分析表明,该算法具有计算精度高、收敛速度快等特点。所获结果对于神经计算方法的研究具有参考价值。

Adaptive Functional Networks Loop Structures and Learning Algorithm

The Banach contraction theorem not only plays a vital role in functional analysis,but also is an important theoretical basis for the algebraic equations of numerical analysis,the existence and uniqueness of ordinary differential equations and the integral equation of mathematical analysis.It is one of the most common methods in mathematical and engineering calculations.This paper presented adaptive functional networks loop structures which were designed based on the Banach contraction theorem and the learni...