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新彩网70999 Generalappliedmath,
Statistics
新彩网70999 Performsk-meansclusteringviatheHartiganandWongAS-136algorithm.
新彩网70999 Availableinversion6.3.0andlater.
functionkmeans_as136(
新彩网70999 x:numeric,;floatordouble
k[1]:integer,
新彩网70999 opt[1]:logical
return_val:floatordouble
新彩网70999 Thereturnarray(say),clcnter,willcontainthecluster
新彩网70999 centers.Itwillbedimensioned(k,N),whereN
collectivelyrepresentsthe'variable'dimension(s).
clcnterwillhavethefollowingattributesassociatedwithit:
id-aone-dimensionalintegerarrayof
sizeMindicatingtheclustertowhicheachobservationis
assigned.
npts-aone-dimensionalintegerarrayof
sizekcontainingthenumberofpointsineachcluster.
ss2-aone-dimensionaldoublearrayof
sizekcontainingthewithin-clustersumofsquares.
K-meansisacentroid-basedclustermethod.
Theobservationsareallocatedtokclustersinsuchawaythatthe
within-clustersumofsquaresisminimized.K-meansclusteringrequiresthat
thenumberofclusterstobeextractedbespecifiedinadvance.
Asnotedby
"Thenumberofclustersshouldmatchthedata.Anincorrectchoiceofthenumberofclusterswillinvalidatethewholeprocess.AnempiricalwaytofindthebestnumberofclustersistotryK-meansclusteringwithdifferentnumberofclustersandmeasuretheresultingsumofsquares."
Thek-meansalgorithmworksreasonablywellwhenthedatafitstheclustermodel:
新彩网70999 Thenumberofclustersis'consistent'withthedata.
新彩网70999 Thedatapointswithinaclusterarecenteredaroundthatcluster
Thespread/varianceoftheclustersissimilar,ieeachdatapointbelongstotheclosestcluster
新彩网70999 Limitations:K-meansmayhaveproblemswhenclustersareofverydifferingsizes;
outliersarepresent;oremptyclustersexist.
TheoriginalcodeiscreatedforCartesiangrids.Iftheapplicationrequiresusinggridpoints
新彩网70999 orstationslocatedathighlatitudes,itissuggestedthat
css2cbeused
tointerpolatetoCartesiancoordinates.Thesebetterreflectthetruedistancesandshouldbeinputtothefunction.
Themodifiedcodeusedbythisfunctionwasdownloadedfrom
JohnBurkardt'swebsite.
新彩网70999 TheoriginalHartigan&WongFortrancodewasfrom:
JohnHartigan,ManchekWong,
新彩网70999 AlgorithmAS136:
AK-MeansClusteringAlgorithm,
新彩网70999 AppliedStatistics,
新彩网70999 Volume28,Number1,1979,pages100-108.
新彩网70999 Example1:Thesourceofthisexampleis
Defaultoptionsareused.
新彩网70999 v0(/1.0,1.5,3.0,5.0,3.5,4.5,3.5/);1stvariable
新彩网70999 v1(/1.0AS136模具钢材出售,2.0,4.0,7.0,5.0,5.0,4.5/);2ndvariable
mdimsizes(v1);#observations
n2;#variables
k2;#clusters(userspecified)
xnew((/n,m/),typeof(v1),"No_FillValue")
x(0,:)v0
x(1,:)v1
新彩网70999 clcntrkmeans_as136(x,k,False);usedefaultoptions
新彩网70999 print(clcntr);(1.25,1.5)and(3.9,5.1)
Aneditedversionoftheoutputfollows:
新彩网70999 Variable:clcntr
Type:float
新彩网70999 TotalSize:16bytes
4values
NumberofDimensions:2
Dimensionsandsizes:[2]x[2](kcX(:,{-30:30}AS136模具钢材出售,:);x(time,lat,lon)
新彩网70999 ;reorderviaNCL'snameddimensionreordering
xrx(lat|:,lon|:,time|:);make'time'(observations;M)therightmostdimension
新彩网70999 ;thelat,lonarethe'variables'(N)
k3;#clusters(userspecified)
optTrue
新彩网70999 opt@iseed1
新彩网70999 clcntrkmeans_as136(xr,k,opt);inputthereorderedarray
新彩网70999 :;clcntr(3,nlat,mlon)
新彩网70999 delete(xr);deleteifnolongerneeded(notnecessary)苏州东锜公司的战略合作伙伴，法国ERASTEEL钢厂是全球粉末高速钢的研发者、粉末冶炼技术的赢领者、ASP品牌的创造者；塑胶及压铸钢材合作伙伴，德国葛利兹钢厂，成立于1779年，在全球拥有庞大的销售网络和过硬的技术力量，锻造能力强，处于行业赢领地位。
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