2016年美赛D题重大特等奖论文

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1、TeamControlNumberForofficeuseonlyForofficeuseonlyT1________________47876F1________________T2________________F2________________T3________________F3________________ProblemChosenT4________________F4________________DAbridgetheDistancebetweenHumanMinds—ResearchonSocialInformationCirculationSummaryInforma

2、tioncirculationnetworkisascomplicatedasthehumanbrain,whilebrainwithwisdomseekstoexplorethemysteriesoftheinformationcirculationnetwork.First,weestablishamodelofinformationcirculationnetwork(ICP).Thenweestablishfivenetworktopologygraphsandqualitativelyanalyzeevolutionoffiveperiods.Basedonclassicalepid

3、emicmodel,weintroducethesuper-spreader,whichcaneffectivelyacceleratethecirculationofinformationasthecentralnode.Thedifferentialequationsandtheirresultsgiveusreasonablecirculationlaws:thedensityofthespreaderandthesuper-spreaderrapidlyincreaseatthebeginning,thentheyreachapeakanddeclinerapidly;theignor

4、antdensityshowsarapiddownwardtrendwhiletheimmunedensitygenerallyincreases.Webuildthefuzzycomprehensiveevaluationmodel(NF)tofilterwhatqualifiesasnews.Weproposeaudienceawarenessindex(AAI)toindicatetheinherentvalueofinformation.Thenweusefourgivenexamplestotestthemodel.Undoubtedly,theassassinationofAbra

5、hamLincolnwasqualifiedasnews;andsodoestheimportantperson’sassassinationtoday.AsforinformationofTaylor’sstyletransition,itbecomesnewstoday,butitmightnotbenewsin1860.Thenweusetheneuralnetworkpredictionmodel(ICNP)topredictthenetworks’relationshipsandcapacities.Wegetthenodenumberandthenodedegreeviaprevi

6、ousdatafromthreestatesinUSA.AndtheresultsofICNPmodelare:inthefifthperiod,nodenumberofNewYorkis22535000,anditsrelativeerroris15.32%;inthefifthperiod,nodedegreeis13533000,anditsrelativeerroris20.58%.SoitvalidatesthereliabilityofICPmodel.Inaround2050,nodenumberofNewYorkis34885000andnodedegreeis23766000

7、.Finally,webuildourmodel(PIINI)consideringtheinterestattenuationmechanismandsocialstrengtheningmechanism.Takingtheinteractionofinformationcirculationnetworkandpublicinterestsintoaccount,weestablishdif