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https://doi.org/10.1109/nca.20...
Article . 2015 . Peer-reviewed
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Efficiently Summarizing Data Streams over Sliding Windows

Authors: Rivetti, Nicoló; Busnel, Yann; Mostefaoui, Achour;

Efficiently Summarizing Data Streams over Sliding Windows

Abstract

Estimating the frequency of any piece of information in large-scale distributed data streams became of utmost importance in the last decade (e.g., in the context of network monitoring, big data, etc.). If some elegant solutions have been proposed recently, their approximation is computed from the inception of the stream. In a runtime distributed context, one would prefer to gather information only about the recent past. This may be led by the need to save resources or by the fact that recent information is more relevant. In this paper, we consider the sliding window model and propose two different (on-line) algorithms that approximate the items frequency in the active window. More precisely, we determine a (ε, δ)-additive-approximation meaning that the error is greater than ε only with probability δ. These solutions use a very small amount of memory with respect to the size N of the window and the number n of distinct items of the stream, namely, O(1/ε log 1/δ (log N + log n)) and O(1/(τ ε) log 1/δ (log N + log n)) bits of space, where τ is a parameter limiting memory usage. We also provide their distributed variant, i.e., considering the sliding window functional monitoring model. We compared the proposed algorithms to each other and also to the state of the art through extensive experiments on synthetic traces and real data sets that validate the robustness and accuracy of our algorithms.

Keywords

[INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], [INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS], [INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT], approximation theory;data handling;distributed processing;probability;approximation algorithm;distributed data stream summarization;frequency estimation;probability;sliding window functional monitoring model;Approximation methods;Complexity theory;Computational modeling;Data models;Estimation;Frequency estimation;Monitoring;data stream;frequency estimation;randomized approximation algorithm;windowing model

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Top 10%
Top 10%
Top 10%
Green