Geometric parameters in Learning Theory
نویسنده
چکیده
3 Uniform measures of complexity 12 3.1 Metric entropy and the combinatorial dimension . . . . . . . . . 12 3.1.1 Binary valued classes . . . . . . . . . . . . . . . . . . . . . 13 3.1.2 Real valued classes . . . . . . . . . . . . . . . . . . . . . . 15 3.2 Random averages and the combinatorial dimension . . . . . . . . 17 3.3 Phase transitions in GC classes . . . . . . . . . . . . . . . . . . . 18 3.3.1 The uniform Central Limit Theorem . . . . . . . . . . . . 18 3.3.2 Uniform l-norm estimates . . . . . . . . . . . . . . . . . . 20 3.3.3 On the size of convex hulls . . . . . . . . . . . . . . . . . 20 3.4 Concentration of the combinatorial dimension . . . . . . . . . . . 22
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