Acta mathematica scientia,Series A ›› 2002, Vol. 22 ›› Issue (2): 264-269.
• Articles • Previous Articles Next Articles
TIAN Bao-Guo, GU Ge, JIANG Lu
Online:
Published:
Abstract:
有约束条件时系统熵的最小值问题是NP 完全问题,该文利用Hopfield人工神经网络解决组合优化问题的能力计算了此问题,得到了较好的结果.
Key words: 熵;熵的最小值;Hopfied人工神经网络
CLC Number:
TIAN Bao-Guo, GU Ge, JIANG Lu. 用Hopfield网络计算约束条件下系统熵的最小值[J].Acta mathematica scientia,Series A, 2002, 22(2): 264-269.
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2002/V22/I2/264
[1] 龚昌德.热力学与统计物理.高等教育出版社,1988 [2] ShannonCE.A Mathematicaltheoryofcommunication.BSTT,1948,27:379-423 [3] 复旦大学编.概率论.人民教育出版社,1979 [4] 李天岩.熵.数学进展,1990,19:301-320 [5] KapurJN,BaciuG,KesavanH K.TheMinMaxinformationmeasure.IntJSystSci,1995,26:1-12 [6] FletcherR.PracticalMethodofOptimization.New York:Wiley,1991 [7] KapurJN,BaciuG,KesavanH K.Ontherelationshipbetweenvarianceandvarianceandminimumentropy.Int PubUnivofWaterloo,1994 [8] YuanL,KesavanH K.Minimumentropyandinformationmeasure.IEEE TransSyst,Man,Cybern,1998,28: 488-191 [9] Strikanth M,KesavanH K,RoeP H.Probabilitydensityfunctionestimationusingthe Minmax measure.IEEE TransSyst,Man,Cybern,2000,30:77-82 [10] HopfieldJJ.Neuralnetworksandphysicalsystemswithemergentcollectivecomputationalabilities.Pro Natl AcadSci,USA,1982,79:2554-2558 [11] HopfieldJJ.Neuronswithgradedresponsehavecollectivecomputationalpropertieslikethoseoftwostateneu rons.ProNatlAcadSci,USA,1984,81:3088-3092
Cited
Iterative Solution for Systems of a Class of Abstract Operator Equations and Applications
Generalized Augmented Lagrangian Duality Theory and
Applications in Vector Optimization Problems