知识矩阵表示  

Knowledge Matrix Representation

作　　者：张师超[1] 李佳烨 ZHANG Shichao;LI Jiaye(School of Computer Science and Engineering,Guangxi Normal University,Guilin Guangxi 541004,China;School of Computer Science and Engineering,Central South University,Changsha Hunan 410083,China)

机构地区：[1]广西师范大学计算机科学与工程学院,广西桂林541004 [2]中南大学计算机学院,湖南长沙410083

出　　处：《广西师范大学学报（自然科学版）》2022年第5期36-48,共13页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金重点项目(61836016)。

摘　　要：知识表示是一切人工智能算法得以运行的基础,它能够把人类知识表示成机器可以处理的数据结构。本文介绍知识矩阵表示,它可以从知识表示的根本上简化算法的运行过程并提高算法的运行效率。具体地,本文首先将时态推理中的13种区间关系表示转化成5×5矩阵,在此基础上,时态关系演算与传播可以通过矩阵计算获得。然后,将产生式规则的相互关系转化成矩阵,并编码成一个计算公式,它是一个不确定性推理的数学模型。最后,将样本关系表示成矩阵,一次计算就可以获得K值和K个最近邻点,它可以将KNN分类的懒惰学习部分模型化,即转化成数学模型。除此之外,本文展望知识矩阵表示未来的工作,提出知识矩阵表示需要针对不同的应用定义不同的演算方法。Knowledge representation is the basis of all artificial intelligence algorithms.It can represent human knowledge as a data structure that can be processed by machines.This paper shows the knowledge matrix representation,which can fundamentally simplify the operation process of the algorithm and improve the operation efficiency of the algorithm.Specifically,this paper first transforms 13 kinds of interval relationship representations in temporal reasoning into 5×5 matrix.On this basis,the calculation and propagation of temporal relations can be obtained through matrix calculation.Then,the relationship between production rules is transformed into a matrix and encoded into a calculation formula,which is a mathematical model of uncertain reasoning.Finally,the sample relationship is expressed as a matrix,and K values and K nearest neighbors can be obtained in one step calculation.It can model the lazy learning part of KNN classification,i.e.,transform it into a mathematical model.In addition,this paper also looks forward to the future work of knowledge matrix representation,and points out that knowledge matrix representation needs to define different calculation methods for different applications.

关 键 词：知识表示 矩阵表示 关系演算 时态推理 KNN分类 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]