摘要
同类事物特征在高维空间中形成的复杂几何形体的局部连续(连通)方向和通路的确定问题,以及找到满意的该复杂几何形体的覆盖体,判断高维空间一点是否在该覆盖体内的问题,是在传统的数学分析框架内的不适定难题.本文用高维空间点分布分析方法给出了解决以上两个仿生模式识别的关键技术问题的有效方法.本技术方法能将同类相近样本归于一个连通几何形体内,能把不同类的相近样本归于不同几何形体内,从而实现具体事物的精准识别.
The problem of determining the local continuity＇（connection）direction and of the route of the complicated geometrical body formed by characteristics of the same type things in high dimension space, and the problem of finding a satisfactory cover for this complicated geometrical body and deciding whether or not a high dimension point is within the cover are problems difficult to solve within the framework of the traditional mathematical analysis. This paper provides an effective method for the solution to the key technical problems of the above two biomimetics pattern recognition by use of high dimension point distribution analysis method. This technical method is capable of grouping similar samples of the same type in one connected geometrical body, and similar samples of different types in different geometrical bodies, thus achieving the precise recognition of concrete things.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2008年第12期2490-2492,共3页
Acta Electronica Sinica
基金
国家自然科学基金(No.60673101)
国家高技术研究发展计划(863计划)(No.2006AA01Z123
No.2006AA04Z110)
山东省自然科学基金(No.Y2007G30)
山东省科技攻关项目(No.2007GG3WZ04016)
关键词
仿生模式识别
连续性
连通性
高维空间
覆盖体
神经网络
biomimetics pattern recognition
continuity
connection
high dimension space
covered body
neural networks
