摘要
广义度量在分类、识别、图像处理等人工智能领域有着广泛的应用。聚焦于广义度量的聚合问题,分别讨论了广义度量的3种特殊情形:度量、伪度量、拟度量聚合(保留)函数的刻画及彼此间的联系,最后通过例子及结构图进行解释说明和直观呈现。
Generalized metrics are widely used in artificial intelligence fields such as classification,recognition,image processing,etc.This paper focuses on the aggregation of generalized metrics,and discusses three special cases of generalized metrics:the characterization of metric,pseudo-metric,quasi-metric aggregation(preserving)function,and the relationship between them.Finally,it is explained and presented intuitively through examples and structure diagrams.
作者
孙利军
赵晨
李钢
SUN Lijun;ZHAO Chen;LI Gang(Faculty of Mathematics and Artificial Intelligence,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China)
出处
《齐鲁工业大学学报》
CAS
2023年第5期60-66,共7页
Journal of Qilu University of Technology
基金
国家自然科学基金(61977040)。
关键词
度量
拟度量
伪度量
度量聚合函数
次可加
顺从性
metric
quasi-metric
pseudo-metric
metric aggregation function
subadditive
amenable
