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2012
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Randomized algorithms for tracking distributed count, frequencies, and ranks

8 years 4 days ago
Randomized algorithms for tracking distributed count, frequencies, and ranks
We show that randomization can lead to significant improvements for a few fundamental problems in distributed tracking. Our basis is the count-tracking problem, where there are k players, each holding a counter ni that gets incremented over time, and the goal is to track an ε-approximation of their sum n = P i ni continuously at all times, using minimum communication. While the deterministic communication complexity of the problem is Θ(k/ε ·log N), where N is the final value of n when the tracking finishes, we show that with randomization, the communication cost can be reduced to Θ( √ k/ε · log N). Our algorithm is simple and uses only O(1) space at each player, while the lower bound holds even assuming each player has infinite computing power. Then, we extend our techniques to two related distributed tracking problems: frequency-tracking and rank-tracking, and obtain similar improvements over previous deterministic algorithms. Both problems are of central importance in l...
Zengfeng Huang, Ke Yi, Qin Zhang
Added 27 Sep 2012
Updated 27 Sep 2012
Type Journal
Year 2012
Where PODS
Authors Zengfeng Huang, Ke Yi, Qin Zhang
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