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THÈME 3

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Reducing the Redundancy in the Selection of Samples for SVM-based Relevance Feedback

Marin Ferecatu — Michel Crucianu — Nozha Boujemaa

N° 5258

July 5, 2004

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(10)

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(11)

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(13)

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ws = 9

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M©wyrtrth4–~h4£'s€nJpeNh¾fs{gV‹a–yhBks€rth9r|s€nL‚1x{g"–~—’qh4–~hWuvpthW‚À® 9fxHrkrthWsH©xHna¬pqdLs'p"¤wy–~–§@hWu4x{g"h s{‹f‹as{rqhWnHp6w~nµ°1hWuvptwyxHn™L}f¤hŒ•L©hŒ¥¦x{r6ptdfhuxHg"‹as€rtw~qx{nL‹arqhB©hWnHpthW‚dfh4rthŒpqdfh¬ptrqw…s€na{•f–…s€r6¨{hWrqnah4–X®

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(14)

0.4 0.5 0.6 0.7 0.8 0.9 1

0 2 4 6 8 10

Mean precision

Iteration

MAO MA MPO MP

9w~{•arqh)ida TxHgV‹Ls€rtw~qx{nx€¥ ptdfhqh4–~hWuvptwyxHn©pqr|s'pth4HwyhBxHnpqdfh ¬c<{k‚fs€pts{§as{qh{®

0.4 0.5 0.6 0.7 0.8 0.9 1

0 5 10 15 20 25 30 35 40

Mean precision

Iteration

MAO MA MPO MP

9;w~{•frth¬™a Tx{g"‹as{rqw…qx{n9x{¥ptdfh)©hW–yhBuvptwyxHn2©pqr|s'pth4HwyhBxHn9ptdfh ¬c"8W˜H˜$‚as'pts{§as{qh{®

(15)

0 0.5 1 1.5 2 2.5

0 2 4 6 8 10 12 14 16 18 20

Classification error

Iteration

MAO MA MPO MP

9;w~{•frthªa;½Q£Hx{–~•1pqw~x{n"x€¥]ptdfhªu–…s{tqw¼»LuWs'ptwyxHnVhWrqrtx{rGxH§1pts{wynahW‚V¤w¼ptdpqdahª‚1wy«@hWrqhWnHp©hW–yhBuvpqw~x{n©pqr|s'pth4{w~hW

xHn9ptdfh ¬c<€V‚fs€pts{§as{qh{®

ptxx{nfhqh4–~hWupqw~x{nµurtwypqh4rtw~x{nY® 9ax{rh4¾1s{g"‹f–yhH}f§ƒ—­p|s€¨ƒwynawynJpqx­sHu4u4x{•fnJp‰s€–~rqhBs{‚1—9–~s{§LhW–yhB‚2wygs€HhW6‹f–~•a

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(16)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

0 2 4 6 8 10 12 14 16 18 20 MAO

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MAO MA MPO MP

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(17)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

-3 -2 -1 0 1 2 3

Mean precision

log(γ) Hyperbolic

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K(x i , x j ) = exp − γkx i − x j k 2

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(18)

0.2 0.3 0.4 0.5 0.6 0.7 0.8

-3 -2 -1 0 1 2 3

Mean precision

log(γ) Hyperbolic

Laplace RBF

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kx i −x j k

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°1x{g"h)x€¥SpqdahWqhg"hWs{q•frthW‚1xHnpª{•as{rts{nJpqh4hŒptdfhkuxHnƒ£{h4rt{hWnauhŒx€¥Sptdfh$°ƒ±Œ² s€na‚2¤h)‹frth¥¦h4rtrthW‚nfx€p

(19)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

0 2 4 6 8 10

Mean precision

Iteration

Hyperbolic Laplace RBF Triangular

9;w~{•frth"8W˜a Tx{g"‹as{rqw…©xHnkx{¥apqdah‰‚1w¼«]h4rth4nJpQ¨Hh4rtnfh4–…;x{n$pqdfh ¬c<{7‚as'pts{§as{qh{}'¤wypqdVptdfh‰²µ†¸©hW–yhBuvptwyxHn

u4rqwypqhWrqw~x{n ®

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

0 5 10 15 20

Mean precision

Iteration

Hyperbolic Laplace RBF Triangular

9;w~{•frth:88%a#Tx{g"‹as{rqw…©xHn¬x€¥ƒpqdfh‚1wy«@hWrqhWnHp;¨{hWrqnfhW–~Yx{n¬pqdah¬c"8W˜H˜‚fs'p|s€§asH©hH}W¤wypqdpqdfh²³†Æ©hW–yhBuvptwyxHn

u4rqwypqhWrqw~x{n ®

c6dfh‰qh4nL©wypqw~£ƒw¼pˆ—$x€¥@pqdfhB©h¨Hh4rtnfh4–…;pqx¬ptdfh

γ

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w… 8B˜Xv®Glon2ptdfhWqh¬pˆ¤x$»L{•frthWW}ƒpqdfhM©g"hWs{n‹arqhBuw…©w~x{nJNŒ£Ns{–y•ah©dfx'¤n2w…6x{§1p|s€w~nfhW‚2sH6pqdfh)g"hBs€n2x'£{hWr

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§@hpˆ¤h4hWn9ptdfhWqh)¨{hWrqnah4–…6•a©w~nfVpqdah²µ†·©hW–yhBuvptwyxHn©pqr|s'pth4{—s€rthŒqdfx'¤nwyn 9;wyL®:8W˜"s{na‚Z88 1¥¦xHrpqdfh

¬s{•at©w…s€nY} s{‹f–…s{uh­s{na‚´dƒ—ƒ‹LhWrq§@x{–~w~u­¨{h4rtnfhW–~W} ptdfhtu4s{–yh‹Ls€r|s€g"hpth4r|)¤hWrqh­qhp$pqxµptdfh4w~rkxH‹1pqw~gs€–

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