Proceedings of the 31st ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems 2012
DOI: 10.1145/2213556.2213596
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Randomized algorithms for tracking distributed count, frequencies, and ranks

Abstract: 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 = 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 more

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Cited by 42 publications
(62 citation statements)
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References 33 publications
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“…Similarly, Huang et al [26] explore a filtering-based approach that leverages in-network processing to detect (PCA-based) network anomalies. More recent theoretical work using the continuous streaming model [19], [20], [28], [29], [38] proposes communication efficient algorithms and gives bounds to calculate aggregation functions approximately. In contrast to the continuous streaming model, our adaptive aggregation algorithm works in batches of consecutive windows where the goal is to detect global icebergs in the recent past (say the last 1 minute).…”
Section: Related Workmentioning
confidence: 99%
“…Similarly, Huang et al [26] explore a filtering-based approach that leverages in-network processing to detect (PCA-based) network anomalies. More recent theoretical work using the continuous streaming model [19], [20], [28], [29], [38] proposes communication efficient algorithms and gives bounds to calculate aggregation functions approximately. In contrast to the continuous streaming model, our adaptive aggregation algorithm works in batches of consecutive windows where the goal is to detect global icebergs in the recent past (say the last 1 minute).…”
Section: Related Workmentioning
confidence: 99%
“…Cormode et al [39] pioneer the formal study of functions in this model by focusing on the estimation of the first three frequency moments F 0 , F 1 and F 2 [33]. Arackaparambil et al [40] consider the empirical entropy estimation [33] and improve the work of Cormode by providing lower bounds on the frequency moments, and finally distributed algorithms for counting at any time t the number of items that have been received by a set of nodes from the inception of their streams have been proposed in [42], [43]. However, an open research issue is:…”
Section: Rq 4-how Can Group Communication Paradigms Contribute To Permentioning
confidence: 99%
“…It follows that any communication complexity lower bound in the messagepassing model or the coordinator model also hold in the distributed monitoring model. A lot of work on distributed monitoring has been done recently in the theory community and the database community, including maintaining random samplings [15], frequency moments [12,14], heavy hitters [5,27,30,43,24], quantiles [13,43], entropy [4], various sketches [16,13] and some non-linear functions [37,38].…”
Section: Motivation Previous Work and Related Modelsmentioning
confidence: 99%