COCO
2001
Springer
14 years 2 months ago
2001
Springer
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 • Σp 3-...
COCO
2001
Springer
14 years 2 months ago
2001
Springer
Restricting the search space {0, 1}n to the set of truth tables of “easy” Boolean functions on log n variables, as well as using some known hardness-randomness tradeoffs, we ...
COCO
2001
Springer
14 years 2 months ago
2001
Springer
We give a simple analysis of the PCP with low amortized query complexity of Samorodnitsky and Trevisan [16]. The analysis also applies to the linearity testing over finite field...
COCO
2001
Springer
14 years 2 months ago
2001
Springer
COCO
2001
Springer
14 years 2 months ago
2001
Springer
COCO
2001
Springer
14 years 2 months ago
2001
Springer
This paper explores the difference between parallel and serial queries to an NP-complete oracle, SAT, from the perspective of functions with a limited number of output bits. For ...
COCO
2001
Springer
14 years 2 months ago
2001
Springer
The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPRpairs). Some lower boun...
COCO
2001
Springer
14 years 2 months ago
2001
Springer
We present several applications of quantum amplitude amplification to finding claws and collisions in ordered or unordered functions. Our algorithms generalize those of Brassard...
COCO
2001
Springer
14 years 2 months ago
2001
Springer
In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on dimension in the class E of sets computable in line...
COCO
2001
Springer
14 years 2 months ago
2001
Springer
