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(3)

True error estimated error

0 20 40 60 80 100 120 140 160 180 200

0 500 1000 1500 2000 2500 3000 3500

number of removed weights

SSE

6}hi G Ahi @?_ it|4@|i_ ihhLht LM|@?i_ | |i 2?_Lh_ih |ih4

True error estimated error

0 20 40 60 80 100 120 140 160 180 200

0 500 1000 1500 2000 2500 3000 3500

number of removed weights

SSE

6}hi 2G Ahi @?_ it|4@|i_ ihhLht LM|@?i_ | |i r|

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1st and 2nd order terms 2nd order terms

0 20 40 60 80 100 120 140 160 180 200

0 500 1000 1500 2000 2500 3000 3500 4000

number of removed weights

SSE

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1st and 2nd order terms 2nd order terms

0 20 40 60 80 100 120 140 160 180

20 30 40 50 60 70 80 90

number of removed weights

generalisation rate

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650 700 750 800 850 900 950 1000

weight=-0.439

value of the weight

SSE

real curve orders 1 and 2 orders 2

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-0.4 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 765

770 775 780 785 790

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value of the weight

SSE

real curve orders 1 and 2 orders 2

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Wu |i i}| t t|@|i_ ?2c i |@!i ?|L @UUL?| |i

€ht| Lh_ih |ih4 |LL Oihic 6 t TLt|i M| ƒƒt t4@**ih |@?ƒ6ƒ

t @ 4@||ih Lu u@U|c |i TL?_ih@|L? |ih4 tL*_ Mi  u 6 f Lhƒƒ ƒ6ƒ

6?@**)c uLh @ i}| t|@|i_ tU @t c |i 4Lhi

4Lit Lg6c |i 4Lhi i |@!i ?|L @UUL?| |i €ht| Lh_ih

|ih4 5Lc i ti |i uL**L?} TL?_ih@|L? u?U|L? G

Ec 6 ' 3e

+zmpm,5 55m

`ihi j t _i|ih4?i_ ? Lh_ih |L 4@?|@? @ Uih|@?

@*i Lu i?' 26

AL t4 Tc |i TL?_ih@|L? u?U|L? MiUL4it G

Ec 6 '

;A

? A=

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+zmpm,5

55m i*tiihi Ee Ai €}hi H tLt |@| |i i^@|L? ti_ | |i hi*@|L? e *i@_t |L 4ThLi |i it|4@|L? iUi?U) ,t TiU@**)c |i ThLM*i4 Lu _ih}i?Ui i?UL?|ihi_ uLh |i b2?_ hi4Li_ i}| @t _t@TTi@hi_ ? |i €}hi bc i U@? ?L|Ui |@| |t ?i hit*| t Mi||ih |@? |i L?i LM|@?i_ | L?*) |i 2?_Lh_ihc _h?} @** |i Th??}

ThLUitt Ai }i?ih@*3@|L? h@|i Thiti?|t L? |i €}hi f

*i@_t |L |i t@4i UL?U*tL?

D wN5W5

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#_ii*LTi_ M) wi ? ,tTiU@**)c i @i tii!i_ |L _i|ih4?i |i hi@* ?i?Ui Lu |i €ht| Lh_ih |ih4 ? |i it|4@|L? Lu |i t@*i?U) Ait|t TihuLh4i_ ? |i tULTi Lu

@? LMiU| U*@tt€U@|L? ThLM*i4 L? tL?@h 4@}it @i *i_

(5)

True error estimated error

0 20 40 60 80 100 120 140 160 180 200

0 500 1000 1500 2000 2500 3000 3500

number of removed weights

SSE

6}hi HG Ahi @?_ it|4@|i_ ihhLht LM|@?i_ | |i TL?_ih@|L? Lu €ht| Lh_ih |ih4

Ponderation method 1st and 2nd order terms 2nd order terms

0 20 40 60 80 100 120 140 160 180 200

0 500 1000 1500 2000 2500 3000 3500 4000

number of removed weights

SSE

6}hi bG L4T@htL? Lu |i |hi ihhLh Uhit uLh |i

|hii 4i|L_t

Ponderation method 1st and 2nd order terms 2nd order terms

0 20 40 60 80 100 120 140 160 180

20 30 40 50 60 70 80 90

number of removed weights

generalisation rate

6}hi fG L4T@htL? Lu |i }i?ih@*t@|L? h@|i Uhit uLh |i |hii 4i|L_t

|L |i UL?U*tL? |@| |i €ht| Lh_ih |ih4 t }i?ih@**) ?L|

?i}*}M*i M| |@| |t t)t|i4@|U@* ti *i@_t |L _ih}i?Ui ThLM*i4t Mi|ii? |i it|4@|i_ @?_ hi@* ihhLht Nt?}

|iti LMtih@|L?tc i @i _ii*LTi_ @ Th??} 4i|L_

M@ti_ L? |i TL?_ih@|L? Lu |i €ht| Lh_ih |ih4 U

@**Lt |L U*i@h*) 4ThLi |i }i?ih@*3@|L? h@|i @?_ |L

@i @ ^|i }LL_ it|4@|L? Lu |i hi@* ihhLh +iuihi?Uit

do B@*ih?ic k v@Lc B hi*c MiU|t U*@tt€U@|L?

t?} ih@* i|Lh! ? tL?@h 4@}ih)c hLUii_?}t Lu ,N+A L? i W4@}i hLUitt?} AiU?^it

@?_ TT*U@|L?tc 5Ti VL* fc TT fSec Hb a?i bb.c ?Uc 6+B

d2o v wi ?c a 5 #i?!ihc 5 5L**@c RT|4@* h@?

#@4@}ic ? _@?Uit ? ih@* W?uLh4@|L? hLUitt

?} 5)t| WWc i_ # 5 ALhi|3t!) ELh}@? k@u4@?c 5@? @|iLcbbfc TT DbHSfD

do a BLhL_!?c w k O@?ti?c khL}c 5@hihc

`?|ihc R ^@?||@|i t|_) Lu Th??} M) T|

4@* h@? #@4@}ic W?|ih?@|L?@* aLh?@* Lu ih@*

5)t|i4tc L* ec L 2c a?i bbc TT DbSb deo O@ttMc # B 5|Lh!c B a `L*gcRT|4@* h@?

5h}iL? @?_ Bi?ih@* i|Lh! h??}c ? hLUc bb W,,, W?|ih?@|L?@* L?uihi?Ui L? ih@* i|Lh!tc i_t , O +tT? @?_ @*c L* c TT 2b2bbc 5@?

6h@?UtULc 2H @hU  Th* bb

dDo + +ii_c Rh??} *}Lh|4t thi)c W,,, Ah@?t@U|L?t L? ih@* i|Lh!tc L* ec L Dc tiT|i4Mih bb

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