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» Improving probability bounds by optimization over subsets
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STOC
2010
ACM
261views Algorithms» more  STOC 2010»
14 years 10 days ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...
AAAI
2008
13 years 9 months ago
An Efficient Motion Planning Algorithm for Stochastic Dynamic Systems with Constraints on Probability of Failure
When controlling dynamic systems, such as mobile robots in uncertain environments, there is a trade off between risk and reward. For example, a race car can turn a corner faster b...
Masahiro Ono, Brian C. Williams
TIT
2011
119views more  TIT 2011»
13 years 2 months ago
Redundancy-Related Bounds for Generalized Huffman Codes
— This paper presents new lower and upper bounds for the compression rate of binary prefix codes optimized over memoryless sources according to various nonlinear codeword length...
Michael B. Baer
SOFSEM
2012
Springer
12 years 3 months ago
Randomized Group Testing Both Query-Optimal and Minimal Adaptive
The classical group testing problem asks to determine at most d defective elements in a set of n elements, by queries to subsets that return Yes if the subset contains some defecti...
Peter Damaschke, Azam Sheikh Muhammad
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 8 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák