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金彩汇 Generalappliedmath,
Statistics
Performsk-meansclusteringviatheHartiganandWongAS-136algorithm.
Availableinversion6.3.0andlater.
functionkmeans_as136(
x:numeric,;floatordouble
k[1]:integer,
金彩汇 opt[1]:logical
金彩汇 return_val:floatordouble
Thereturnarray(say),clcnter,willcontainthecluster
centers.Itwillbedimensioned(k,N),whereN
collectivelyrepresentsthe'variable'dimension(s).
金彩汇 clcnterwillhavethefollowingattributesassociatedwithit:
金彩汇 id-aone-dimensionalintegerarrayof
sizeMindicatingtheclustertowhicheachobservationis
assigned.
金彩汇 npts-aone-dimensionalintegerarrayof
金彩汇 sizekcontainingthenumberofpointsineachcluster.
金彩汇 ss2-aone-dimensionaldoublearrayof
金彩汇 sizekcontainingthewithin-clustersumofsquares.
金彩汇 K-meansisacentroid-basedclustermethod.
Theobservationsareallocatedtokclustersinsuchawaythatthe
within-clustersumofsquaresisminimized.K-meansclusteringrequiresthat
金彩汇 thenumberofclusterstobeextractedbespecifiedinadvance.
Asnotedby
"Thenumberofclustersshouldmatchthedata.Anincorrectchoiceofthenumberofclusterswillinvalidatethewholeprocess.AnempiricalwaytofindthebestnumberofclustersistotryK-meansclusteringwithdifferentnumberofclustersandmeasuretheresultingsumofsquares."
Thek-meansalgorithmworksreasonablywellwhenthedatafitstheclustermodel:
金彩汇 Thenumberofclustersis'consistent'withthedata.
Thedatapointswithinaclusterarecenteredaroundthatcluster
Thespread/varianceoftheclustersissimilar,ieeachdatapointbelongstotheclosestcluster
金彩汇 Limitations:K-meansmayhaveproblemswhenclustersareofverydifferingsizes;
金彩汇 outliersarepresent;oremptyclustersexist.
TheoriginalcodeiscreatedforCartesiangrids.Iftheapplicationrequiresusinggridpoints
orstationslocatedathighlatitudes,itissuggestedthat
css2cbeused
金彩汇 tointerpolatetoCartesiancoordinates.Thesebetterreflectthetruedistancesandshouldbeinputtothefunction.
Themodifiedcodeusedbythisfunctionwasdownloadedfrom
JohnBurkardt'swebsite.
金彩汇 TheoriginalHartigan&WongFortrancodewasfrom:
JohnHartigan,ManchekWong,
金彩汇 AlgorithmAS136:
金彩汇 AK-MeansClusteringAlgorithm,
金彩汇 AppliedStatistics,
Volume28,Number1,1979,pages100-108.
Example1:Thesourceofthisexampleis
金彩汇 Defaultoptionsareused.
v0(/1.0,1.5,3.0,5.0,3.5,4.5,3.5/);1stvariable
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)
金彩汇 xnew((/n,m/),typeof(v1),"No_FillValue")
x(0,:)v0
x(1,:)v1
clcntrkmeans_as136(x,k,False);usedefaultoptions
金彩汇 print(clcntr);(1.25,1.5)and(3.9,5.1)
Aneditedversionoftheoutputfollows:
金彩汇 Variable:clcntr
金彩汇 Type:float
TotalSize:16bytes
4values
NumberofDimensions:2
Dimensionsandsizes:[2]x[2](kcX(:,{-30:30}AS136模具钢材出售,:);x(time,lat,lon)
;reorderviaNCL'snameddimensionreordering
xrx(lat|:,lon|:,time|:);make'time'(observations;M)therightmostdimension
;thelat,lonarethe'variables'(N)
k3;#clusters(userspecified)
optTrue
opt@iseed1
clcntrkmeans_as136(xr,k,opt);inputthereorderedarray
:;clcntr(3,nlat,mlon)
金彩汇 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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