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» Algorithmic Randomness of Closed Sets
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SODA
2004
ACM
127views Algorithms» more  SODA 2004»
15 years 3 months ago
An optimal randomized algorithm for maximum Tukey depth
We present the first optimal algorithm to compute the maximum Tukey depth (also known as location or halfspace depth) for a non-degenerate point set in the plane. The algorithm is...
Timothy M. Chan
ICML
1994
IEEE
15 years 5 months ago
Prototype and Feature Selection by Sampling and Random Mutation Hill Climbing Algorithms
With the goal of reducing computational costs without sacrificing accuracy, we describe two algorithms to find sets of prototypes for nearest neighbor classification. Here, the te...
David B. Skalak
CDC
2008
IEEE
184views Control Systems» more  CDC 2008»
15 years 8 months ago
Almost sure convergence to consensus in Markovian random graphs
— In this paper we discuss the consensus problem for a network of dynamic agents with undirected information flow and random switching topologies. The switching is determined by...
Ion Matei, Nuno C. Martins, John S. Baras
96
Voted
FOCS
2009
IEEE
15 years 8 months ago
On the Power of Randomization in Algorithmic Mechanism Design
In many settings the power of truthful mechanisms is severely bounded. In this paper we use randomization to overcome this problem. In particular, we construct an FPTAS for multi-...
Shahar Dobzinski, Shaddin Dughmi
CIE
2010
Springer
15 years 6 months ago
Ergodic-Type Characterizations of Algorithmic Randomness
A useful theorem of Kuˇcera states that given a Martin-L¨of random infinite binary sequence ω and an effectively open set A of measure less than 1, some tail of ω is not in A...
Laurent Bienvenu, Adam R. Day, Ilya Mezhirov, Alex...