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2022c3$ÊÆÆ126ò11Ï
Mar.,
DOI:.-
‘Äêåg+‡(BP)¼ê•Œz¯K6Ž{
ë•1Üýw1;yë¥H1׶Î2
Á‡©ïÄ3ÄêåeäküN5g+‡¼ê•Œz¯K6."T
¯K3êâ?n!ÅìÆSÚ<óœU•¡Ñk2•A^"/Ïu8I¼êÂÃ4~Ç
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üÓÖêâLÈ-6Ž{,¿(Üg!‡¼êÛ•Ç(g)
no
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g2"ꊢy
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†8Ž{ƒÓ•`Š"
'…cBP-¼ê•Œz,Û•Ç,>SÂÃ4~Ç,6Ž{,Äêå
¥ã©aÒ
2010êÆ©aÒ90C27,90C59
Streamingalgorithmsforthemaximizationof
submodular+supermodularfunctions
withacardinalityconstraint
LIANYuefang1ZHANGZhenning1;yZHAOZhongrui1DUDingzhu2
AbstractInthispaper,weproposestreamingalgorithmsforthemaximizationof
submodular+supermodularfunctionswithcardinalityconstraint,whichhaswideappli-
cationsindataprocessing,machinelearningandarti
diminishingreturnratiooftheobjectivefunction,wedesignaone-passsieve-streamingno
algorithmandgettheapproximateratiomin(1")
;1
.Numericalex-
2
2
(1g)2
perimentsshowthatthesieve-streamingalgorithmiseectivefortheBP-maximization
problemandcanguaranteethesameresultasthegreedyalgorithmwithlesstimeif
submodularfunctionandsupermodularareinthesameorderofmagnitude.
KeywordsBP-functionmaximization,totalcurvature,diminishingreturnratio,
streamingalgorithm,cardinalityconstraint
ChineseLibraryClassi
ÂvFϵ2021-06-14
*Ä7‘8:I[g,‰ÆÄ7(,12001025)
1.®ó’ŒÆêÆÆ$ÊƆ&Eó§X,®100124;DepartmentofOperationsResearchand
InformationEngineering,CollegeofMathematics,BeijingUniversityofTechnology,Beijing100124,China
2.{IŽidŒÆ©OŽÅX,{IŽid²nܽ75080;DepartmentofCom-
puterScience,UniversityofTexasatDallas,Richardson,TX75080,USA
yÏ&ŠöE-mail:******@:.
86ë•,Üýw,ë¥H,׶Î26ò
2010MathematicsSubjectClassication90C27,90C59
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