Dependence on the Dimension for Complexity of Approximation of Random Fields
β Scribed by Serdyukova, Nora A.
- Book ID
- 118219953
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2010
- Tongue
- English
- Weight
- 199 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0040-585X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider a random field on the p-dimensional cube with a covariance function of tensor product type. The quality of an approximation which is based on finitely many observations of the field is measured by the integrated mean-squared error and the maximum mean-squared error. We use the optimal af
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is: 3 -hard to approximate to within a factor 2 Γ e for all e > 0; \* approximable in AM to within a factor 2; and \* AM-hard to appr