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Gamma-convergence of discrete functionals with non convex perturbation for image classification

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(1)Gamma-convergence of discrete functionals with non convex perturbation for image classification Gilles Aubert, Laure Blanc-Féraud, Riccardo March. To cite this version: Gilles Aubert, Laure Blanc-Féraud, Riccardo March. Gamma-convergence of discrete functionals with non convex perturbation for image classification. RR-4560, INRIA. 2002. �inria-00072028�. HAL Id: inria-00072028 https://hal.inria.fr/inria-00072028 Submitted on 23 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. -convergence of discrete functionals with non convex perturbation for image classification Gilles Aubert — Laure Blanc-Féraud — Riccardo March. N° 4560 Septembre 2002. ISSN 0249-6399. ISRN INRIA/RR--4560--FR+ENG. THÈME 3. apport de recherche.

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(158) txw tul4k~l4rBti|V§ txhl’ªƒl7kmkw¯^gihl’vx|VOl7vut‹´®­T {ƒ{iW (O ~  tuhl4r!§­|zª}ªƒ|2¨ 9§­vu|zk >T nz–^WwVr† T>nV—€W)¯  °´Dtxhl

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(160)  P œ    J q !=   idk ikjXi 9Á ¹ q 5 P!. . 2!354   ‚  † iO _ iXf A 4 ;k/i1F flGZ_«NPO j V ª

(161) !/  ! 2!38354 k i > k † C 8 F4HG ! > ª€§

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(163) €/!"S! ‚ F„3† O ‡?„.4HGj_ ª  =! 5 ]Z_ a^Qdc c cK. . ó­äø«ó÷Ô. .

(164) . º 

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(166) tx|!°iw ªˆ†‘| + •0JT «l4kmkmw!n¯3-XW¯‰wVvt€ T?{WYw r† T?{}{†WYw vxl txw tulP†<l¸wVytuªƒ´<wV ·w œO|2¬Vl

(167) {ƒr™°iw ªˆ†‘| + •0»¯’‰#w vutœT­{ƒ{ƒ{WYrl4l4† · |zkml †‘l4¬Vl7ªƒ|Vk~l4rBtx 4¯H( l®[vx t· ult0|V¦‘t °iwVªƒ†‘|  vxl4 u¦ª}twVr†!tuhl4r¨9l0l¸‘ªˆw {ƒr/h|2¨ ¨l’y7w r¦ ul0{²t{ƒr|V¦vy7|VrBtul7¸`t4¯ l t Šüœ[l’„z{}¬zl7rwV i{ƒ2r T\-4€˜ W9wVr†!ª}l7t¦ †‘l7®rl0|Vr (tuhl’kml7tuvx{ƒy . . {. r F { Q 8 Gj_«”m[  m .   <. Š‹F jF ¯ƒGGqo F ¯ƒGqo r ¯. gihl7r/ª}l7t¦  ult. wVr†!ª}l7t¦ †‘l7®rl·tuhl

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(169) u´Bk œ[|zª  †‘l4r| txl4 txhl

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