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Erschienen in: Data Mining and Knowledge Discovery 1/2015

01.01.2015

Summarizing numeric spatial data streams by trend cluster discovery

verfasst von: Annalisa Appice, Anna Ciampi, Donato Malerba

Erschienen in: Data Mining and Knowledge Discovery | Ausgabe 1/2015

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Abstract

Advances in pervasive computing and sensor technologies have paved the way for the explosive living ubiquity of geo-physical data streams. The management of the massive and unbounded streams of sensor data produced poses several challenges, including the real-time application of summarization techniques, which should allow the storage and query of this amount of georeferenced and timestamped data in a server with limited memory. In order to face this issue, we have designed a summarization technique, called SUMATRA, which segments the stream into windows, computes summaries window-by-window and stores these summaries in a database. Trend clusters are discovered as summaries of each window. They are clusters of georeferenced data which vary according to a similar trend along the window time horizon. Several compression techniques are also investigated to derive a compact, but accurate representation of these trends for storage in the database. A learning strategy to automatically choose the best trend compression technique is designed. Finally, an in-network modality for tree-based trend cluster discovery is investigated in order to achieve an efficacious aggregation schema which drastically reduces the number of bytes transmitted across the network and maintains a longer network lifespan. This schema is mapped onto the routing structure of a tree-based WSN topology. Experiments performed with several data streams of real sensor networks assess the summarization capability, the accuracy and the efficiency of the proposed summarization schema.

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Fußnoten
1
The discretization is trusted to sensors; this choice can be considered as a way to decentralize a small piece of the computation. In any case, the majority of the computation effort (clustering) still remains centralized on the server.
 
2
Missing values are stored in \(H_i\) in the presence of sensors which transmit at one or more snapshots of the window, but they do not transmit at all the snapshots of the window.
 
3
\(w>>1\) is plausible in the count-based window model of a stream.
 
4
\(V_{h}\) and \(V_{w-h}\) are complex conjugates (Proakis and Manolakis 1996)
 
5
This identity expresses in some way the law of conservation of energy.
 
6
It is noteworthy that a sensing device which measures a series of data item can also decide which data (or aggregate of data) have to be sent to the sink.
 
7
This way of computing the median is used to take into account the fact that each trend prototype value \(v_{j_t}\) at time \(t\) aggregates data items coming from \(\sharp C_j\) sensor devices.
 
12
The \(rmse\) is commonly used to evaluate the accuracy of predictive models in statistics. In any case, it has the disadvantage of heavily weighting outliers. This property, undesirable in noised streams, motivates the analysis of the \(mae\) as an alternative error measure.
 
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Metadaten
Titel
Summarizing numeric spatial data streams by trend cluster discovery
verfasst von
Annalisa Appice
Anna Ciampi
Donato Malerba
Publikationsdatum
01.01.2015
Verlag
Springer US
Erschienen in
Data Mining and Knowledge Discovery / Ausgabe 1/2015
Print ISSN: 1384-5810
Elektronische ISSN: 1573-756X
DOI
https://doi.org/10.1007/s10618-013-0337-7

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