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case:E[s2]=E[1 NNXi=1(xi x)2]=1 x+NXi=1 x2]Weknow...
TondthemeanofS2,webeginwiththeidentitynXi=1(Xi)...
n nXi=1yi!2isthe\sumofsquaresofy"Thevalueofrxyisal...
jajjbj=NXi=1aibi vuut NXi=1a2ivuut NXi=1b2i(1)Thec...
@a=nXi=1(logyi�a�bexi)(�1)=0@L @a=nXi...
EveryvectorinS0canbewrittenasalinearcombinationoft...
VariationofParameters,UseofaKnownSolutiontoFindAno...
arecalledtheSupportVectorsinourproblem.withminimiz...
PeterBartlett 1 Overview AdaBoost Coordinatedesc...
@0=2Pni=11Yi(0+1xi)]@S @1=2Pni=11Yi(0+1x...
y�b1 x(Note: y=1 nPni=1yiand x=1 nPni=1xi.)Proo...
dtx1(t)=+x2(t)d dtx2(t)=�2x1(t)�2x2(t)2.2.Yo...
1IntroductionThislecturemainlyfocusesondimensionre...
AaronDefazioAmbiataAustralianNationalUniversit...
Proof:RecallSXX=Pni=1XiX2.Sob1=1 SXXnXi=1XiXYiY=1 ...
nnXi=1(xiE)2(whereE=1 exii;exi+i]ofpossiblepo...
nthereexistsa14x00000andCkdi11eomorphismB14yRnsuch...
3ReceivedDecember092018AcceptedinrevisedformApril1...
UnderjointGaussianassumptionsweknowthatKalmansmoot...
cCopyrightbyAndrewKeiKebo2005ACKNOWLEDGMENTSIwould...
CONTENTSCONTENTSContents1Introduction12Killingtens...
w1w218w1w2X1nXi3wiXi19w2w1w218w1w2X2nXi3wiXi192120...
UnconstrainedDierentiableConvexOptimizationmi...
page40110SOR201(2002)(ii)Bernoullir.v.{ifp1=p;p0=1...
(b)Historicalcrackingefciency,equivalentdictionar...
H(n)isgivenasfollows. H(n)=NXi=0P(n)0;ih(i)(3)Now,...
EdoLiberty:SimpleandDeterministicMatrixSketches4/3...
1 NXi(ˆxixi)2: (2) Wealsocomputehistogramsof...
2wTw+nXi=1Cii;(1)subjecttoyi(wT(xi)+)1i;i=1;...
1 NXi(ˆxixi)2: (2) Wealsocomputehistogramsof...
4nXi=1siX2Pi(p):(2)Notethattheorientationofeac...
nsupf2F;Pf2rnXi=1if(Xi)#;wherePf2denotesthee...
2wTw+nXi=1Cii;(1)subjecttoyi(wT(xi)+)1i;i=1;...
e-mail:boni@eco.uva.es.1 OWA-typeaggregation,t...
Wen,Shi,Li,HeandChen Figure1:Overviewoftrainingand...
asin[25]butinreturnadmitsmall,constant-sizeproofsw...
AaronDefazioAmbiataAustralianNationalUniversit...
AlexKantchelianMichaelCarlTschantzLingHuangyPeterL...
Vol.8(2014)1641{1660ISSN:1935-7524DOI: 10.1214/14-...
MariiaVladimirova12JakobVerbeek1PabloMesejo3Julyan...
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