MARK: A Boosting Algorithm for Heterogeneous Kernel Models

MARK: A Boosting Algorithm for Heterogeneous Kernel Models Kristin P. Bennett

Michinari Momma

Mark J. Embrechts

Department of Mathematical Sciences Rensselaer Polytechnic Institute Troy, NY 12180

Department of Decision Sciences and Engineering Systems Rensselaer Polytechnic Institute Troy, NY 12180

Department of Decision Sciences and Engineering Systems Rensselaer Polytechnic Institute Troy, NY 12180

[email protected]

[email protected]

[email protected]

ABSTRACT


 

   !"$#% & '(  )(* ,+-( ./0 1(%234"15412657 89: 1; &"'1
 ?" @ 4 A.&42B "C1"
D&. ':E#- ,/)=F !5E"=@1  ? #-
 : 1'"G
 &
H+&.I ,2EE - ' -  "@#JE KLD )=M%N&
OE:E ; 15E""1.I=M1 H /OE :7QPR+&.S#~"5k( ;ƒ;ƒ
  B("1' 14  + :1/ -  $ 4 #  57]€Y4 - 4 R=G\' :E :Z ? ;ƒ23 "  4("1' 1/]
23 4] 1#J 1'7†V$"1"

4#-
 : 1U?4 oH1)=@UzE{{{%#J1WOVU 7 }[E/, ?
"1 $1, ?(&1
$  OZf%VUWO^4;ƒ—I
I=M1 /=[5WM}C€c ":ZO:#%"1_lE{9ZM±ñµ4~E{9Z[E &
#"4':#% ,"  
 #  15"1".S *+&. 8B  ˆ5y~E„|t
DJ]("11OE  \ M26@5, 2' \~{ 23 ":7fX@]l$2t("11OE  \ [n [ ,z { á> 2C $ :E1D  :7 —f5k(;ƒ;ƒ
 /!(YE"1' 1>
"1 ,26,…]PR /; & 1XM+"1~7QX@H Ër23%VUWO^4;ƒ—b_ "1)=[

2@ , :7*o_&:=r
"1 (1‡z71z7mPR 1 K&#-& :Z1 M&] M# ?4 -
¯  Qµ~{{_+5
 ? -&
#?+%2[' :% & ?1&? 4145E'+"_23 

5EOE1 R.2? "151DS23
 1 S5ETE =["1"k7 X@23&Z=[4
pM:#-"1D\ 2MZ {{ {\' :† & ] -e +'"1, )˖E
< 1M(E"
pEU† D_  ,23  %VUWO^4;ƒ—x7Y€Y4 J) - Zt=G-
% -eK&LY"1. 1+ 1ˆy1~„|R7[%V-WB^4;ƒ—LK&1+1 @&$"115E[5E"1D7 Scalability 3000 MARK SVM 2500

2000

Time (seconds)


1D U¡ 4^\W@WM7B, %5 L23]  (YE& :D \ 2 %V-WO^4;˜—*#Jk.,+? OE $1 @& ".!"1 @235E 
? 
D 

@
@ 2 @=[&\W@}f€/"1:7B^\W@WJ
 •G
  ( ;

 @? [1@