Name
Abstract | ||
|---|---|---|
We investigate measures of complexity of function classes based on continuity moduli of Gaussian and Rademacher processes. For Gaussian processes, we obtain bounds on the continuity modulus on the convex hull of a function class in terms of the same quantity for the class itself. We also obtain new bounds on generalization error in terms of localized Rademacher complexities. This allows us to prove new results about generalization performance for convex hulls in terms of characteristics of the base class. As a byproduct, we obtain a simple proof of some of the known bounds on the entropy of convex hulls. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1007/3-540-45435-7_5 | COLT |
Keywords | Field | DocType |
convex hull,convex hulls,function class,generalization performance,localized rademacher complexity,new bound,generalization error,local measures,known bound,continuity modulus,new result,generalization bounds,base class,gaussian process | Complexity class,Discrete mathematics,Mathematical optimization,Rademacher complexity,Convex hull,Convex set,Regular polygon,Gaussian,Gaussian process,Moduli,Mathematics | Conference |
ISSN | ISBN | Citations |
2002 Lecture Notes on Artificial Intelligence 2375 | 3-540-43836-X | 7 |
PageRank | References | Authors |
0.69 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Olivier Bousquet | 1 | 4593 | 359.65 |
| Vladimir Koltchinskii | 2 | 89 | 9.61 |
| D. Panchenko | 3 | 38 | 4.70 |