Efficiently Summarizing Data Streams over Sliding WindowsReport as inadecuate

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1 Technion - Israel Institute of Technology Haifa 2 DIONYSOS - Dependability Interoperability and perfOrmance aNalYsiS Of networkS Inria Rennes – Bretagne Atlantique , IRISA D2 - RÉSEAUX, TÉLÉCOMMUNICATION ET SERVICES 3 IMT Atlantique - IMT Atlantique Bretagne-Pays de la Loire 4 GDD - Gestion de Données Distribuées Nantes LINA - Laboratoire d-Informatique de Nantes Atlantique

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, O1-ε log 1-δ log N + log n and O1-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.

Author: Nicoló Rivetti - Yann Busnel - Achour Mostefaoui -

Source: https://hal.archives-ouvertes.fr/


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