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NETWORKS
2006
13 years 8 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
IJCAI
2007
13 years 10 months ago
Some Effects of a Reduced Relational Vocabulary on the Whodunit Problem
A key issue in artificial intelligence lies in finding the amount of input detail needed to do successful learning. Too much detail causes overhead and makes learning prone to ove...
Daniel T. Halstead, Kenneth D. Forbus
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
14 years 25 days ago
Approximation Schemes for Euclidean k-Medians and Related Problems
In the k-median problem we are given a set S of n points in a metric space and a positive integer k. We desire to locate k medians in space, such that the sum of the distances fro...
Sanjeev Arora, Prabhakar Raghavan, Satish Rao
ALT
2011
Springer
12 years 8 months ago
On Noise-Tolerant Learning of Sparse Parities and Related Problems
We consider the problem of learning sparse parities in the presence of noise. For learning parities on r out of n variables, we give an algorithm that runs in time poly log 1 δ , ...
Elena Grigorescu, Lev Reyzin, Santosh Vempala
ESA
2009
Springer
74views Algorithms» more  ESA 2009»
14 years 3 months ago
On Inducing Polygons and Related Problems
Bose et al. [2] asked whether for every simple arrangement A of n lines in the plane there exists a simple n-gon P that induces A by extending every edge of P into a line. We prov...
Eyal Ackerman, Rom Pinchasi, Ludmila Scharf, Marc ...