%PDF-1.4 % 3 0 obj << /pgfprgb [/Pattern /DeviceRGB] >> endobj 7 0 obj << /S /GoTo /D (section.1) >> endobj 10 0 obj (Introduction) endobj 11 0 obj << /S /GoTo /D (subsection.1.1) >> endobj 14 0 obj (The model and some basic definitions) endobj 15 0 obj << /S /GoTo /D (subsection.1.2) >> endobj 18 0 obj (Motivations) endobj 19 0 obj << /S /GoTo /D (subsection.1.3) >> endobj 22 0 obj (The procedures studied in this work) endobj 23 0 obj << /S /GoTo /D (section.2) >> endobj 26 0 obj (Results) endobj 27 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 30 0 obj (Assumptions and examples) endobj 31 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 34 0 obj (Main results) endobj 35 0 obj << /S /GoTo /D (section.3) >> endobj 38 0 obj (Proof of the main results) endobj 39 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 42 0 obj (Some definitions) endobj 43 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 46 0 obj (On the importance of convexity) endobj 47 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 50 0 obj (The isomorphic property of the excess loss functions class) endobj 51 0 obj << /S /GoTo /D (subsection.3.4) >> endobj 54 0 obj (Complexity of Schatten balls) endobj 55 0 obj << /S /GoTo /D (subsection.3.5) >> endobj 58 0 obj (Computation of the isomorphic function) endobj 59 0 obj << /S /GoTo /D (subsection.3.6) >> endobj 62 0 obj (Isomorphic penalization method) endobj 63 0 obj << /S /GoTo /D (subsection.3.7) >> endobj 66 0 obj (End of the proof of Theorems 1 and 2) endobj 67 0 obj << /S /GoTo /D (subsubsection.3.7.1) >> endobj 70 0 obj (The "026B30D "026B30D S1 case) endobj 71 0 obj << /S /GoTo /D (subsubsection.3.7.2) >> endobj 74 0 obj (The "026B30D "026B30D S1 + "026B30D "026B30D 1 case) endobj 75 0 obj << /S /GoTo /D (subsubsection.3.7.3) >> endobj 78 0 obj (The "026B30D "026B30D S1 + "026B30D "026B30D S22 case) endobj 79 0 obj << /S /GoTo /D (subsubsection.3.7.4) >> endobj 82 0 obj (The "026B30D "026B30D S1 + "026B30D "026B30D S22 + "026B30D "026B30D 1 case) endobj 83 0 obj << /S /GoTo /D [84 0 R /Fit ] >> endobj 86 0 obj << /Length 2964 /Filter /FlateDecode >> stream xڵYY~WteaT- b#v0qxFXtkht̀_םYYz`;V*W}Y7 <TF(Ť+c\7isچˠn]8O}Z]4sS748cˬjJAvPMy12لRDĴשċ7(^Y@<`ǔ^n+=j 1PD|nOnU,Bgl"D\ Lc+JfRi#xF2zB̬2pQZQZ