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APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
14 years 3 months ago
Approximation Schemes for Node-Weighted Geometric Steiner Tree Problems
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
Jan Remy, Angelika Steger
APPROX
2005
Springer
90views Algorithms» more  APPROX 2005»
14 years 3 months ago
Tight Bounds for String Reconstruction Using Substring Queries
We resolve two open problems presented in [8]. First, we consider the problem of reconstructing an unknown string T over a fixed alphabet using queries of the form “does the st...
Dekel Tsur
APPROX
2005
Springer
84views Algorithms» more  APPROX 2005»
14 years 3 months ago
The Tensor Product of Two Codes Is Not Necessarily Robustly Testable
There has been significant interest lately in the task of constructing codes that are testable with a small number of random probes. Ben-Sasson and Sudan show that the repeated te...
Paul Valiant
APPROX
2005
Springer
105views Algorithms» more  APPROX 2005»
14 years 3 months ago
The Complexity of Making Unique Choices: Approximating 1-in- k SAT
We study the approximability of 1-in-kSAT, the variant of Max kSAT where a clause is deemed satisfied when precisely one of its literals is satisfied. We also investigate differ...
Venkatesan Guruswami, Luca Trevisan
APPROX
2005
Springer
80views Algorithms» more  APPROX 2005»
14 years 3 months ago
On Learning Random DNF Formulas Under the Uniform Distribution
Abstract: We study the average-case learnability of DNF formulas in the model of learning from uniformly distributed random examples. We define a natural model of random monotone ...
Jeffrey C. Jackson, Rocco A. Servedio