典型文献
A Note for Estimation About Average Differential Entropy of Continuous Bounded Space-Time Random Field
文献摘要：
In this paper,we mainly study the dis-crete approximation about average differential entropy of continuous bounded space-time random field.The estima-tion of differential entropy on random variable is a classic problem,and there are many related studies.Space-time random field is a theoretical extension of adding random variables to space-time parameters,but studies on dis-crete estimation of entropy on space-time random field are relatively few.The differential entropy forms of con-tinuous bounded space-time random field and discrete es-timations are discussed,and three estimation forms of dif-ferential entropy in the case of random variables are gen-erated in this paper.Furthermore,it is concluded that under the condition that the entropy estimation formula after space-time segmentation converges with probability 1,the average entropy in the bounded space-time region can also converge with probability 1,and three general-ized entropies are verified respectively.In addition,we also carried out numerical experiments on the conver-gence of average entropy estimation based on parameters,and the numerical results are consistent with the theoret-ical results,which indicting further study of the average entropy estimation problem of space-time random fields is significant in the future.
文献关键词：
中图分类号：
作者姓名：
SONG Zhanjie;ZHANG Jiaxing
作者机构：
Georgia Tech Shenzhen Institute,Tianjin University,Shenzhen 518055,China;Tianjin Key Laboratory of Brain-Inspired Intelligence Technology,Tianjin University,Tianjin 300072,China;School of Mathematics,Tianjin University,Tianjin 300354,China
文献出处：
引用格式：
[1]SONG Zhanjie;ZHANG Jiaxing-.A Note for Estimation About Average Differential Entropy of Continuous Bounded Space-Time Random Field)[J].电子学报（英文）,2022(05):793-803
A类：
timations,indicting
B类：
Note,Estimation,About,Average,Differential,Entropy,Continuous,Bounded,Space,Time,Random,Field,In,this,paper,we,mainly,study,approximation,about,average,differential,entropy,continuous,bounded,space,random,classic,problem,there,are,many,related,studies,theoretical,extension,adding,variables,parameters,but,estimation,relatively,few,forms,discrete,discussed,three,case,erated,Furthermore,concluded,that,under,condition,formula,after,segmentation,converges,probability,region,also,general,ized,entropies,verified,respectively,addition,carried,numerical,experiments,gence,results,consistent,which,further,fields,significant,future
AB值：
0.416936
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