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COCO
2001
Springer
102views Algorithms» more  COCO 2001»
13 years 12 months ago
Links Between Complexity Theory and Constrained Block Coding
Larry J. Stockmeyer, Dharmendra S. Modha
COCO
2001
Springer
149views Algorithms» more  COCO 2001»
13 years 12 months ago
Quantum versus Classical Learnability
Motivated by recent work on quantum black-box query complexity, we consider quantum versions of two wellstudied models of learning Boolean functions: Angluin’s model of exact le...
Rocco A. Servedio, Steven J. Gortler
COCO
2001
Springer
102views Algorithms» more  COCO 2001»
13 years 12 months ago
Separation of NP-Completeness Notions
We use hypotheses of structural complexity theory to separate various NP-completeness notions. In particular, we introduce an hypothesis from which we describe a set in NP that is...
Aduri Pavan, Alan L. Selman
COCO
2001
Springer
142views Algorithms» more  COCO 2001»
13 years 12 months ago
On the Complexity of Approximating the VC Dimension
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-...
Elchanan Mossel, Christopher Umans
COCO
2001
Springer
107views Algorithms» more  COCO 2001»
13 years 12 months ago
In Search of an Easy Witness: Exponential Time vs. Probabilistic Polynomial Time
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 ...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...
COCO
2001
Springer
135views Algorithms» more  COCO 2001»
13 years 12 months ago
Simple Analysis of Graph Tests for Linearity and PCP
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...
Johan Håstad, Avi Wigderson
COCO
2001
Springer
94views Algorithms» more  COCO 2001»
13 years 12 months ago
Tree Resolution Proofs of the Weak Pigeon-Hole Principle
Stefan S. Dantchev, Søren Riis
COCO
2001
Springer
106views Algorithms» more  COCO 2001»
13 years 12 months ago
Quantum Algorithmic Entropy
Péter Gács
COCO
2001
Springer
108views Algorithms» more  COCO 2001»
13 years 12 months ago
Bounded Query Functions with Limited Output Bits
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 ...
Richard Chang, Jon S. Squire
COCO
2001
Springer
161views Algorithms» more  COCO 2001»
13 years 12 months ago
Communication Complexity Lower Bounds by Polynomials
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...
Harry Buhrman, Ronald de Wolf