By Bhargab B. Bhattacharya, Sudip Roy, Sukanta Bhattacharjee (auth.), Prosenjit Gupta, Christos Zaroliagis (eds.)
This booklet constitutes the refereed lawsuits of the 1st overseas convention on utilized Algorithms, ICAA 2014, held in Kolkata, India, in January 2014. ICAA is a brand new convention sequence with a venture to supply a top quality discussion board for researchers operating in utilized algorithms. Papers proposing unique contributions on the topic of the layout, research, implementation and experimental assessment of effective algorithms and information constructions for issues of appropriate real-world functions have been sought, preferably bridging the distance among academia and undefined. The 21 revised complete papers awarded including 7 brief papers have been conscientiously reviewed and chosen from 122 submissions.
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Extra info for Applied Algorithms: First International Conference, ICAA 2014, Kolkata, India, January 13-15, 2014. Proceedings
Distributed threshold querying of general functions by a diﬀerence of monotonic representation. PVLDB 4(2) (2010) 20. : Image analysis and mathematical morphology. Academic Press, London (1982) 21. : Handling non-linear polynomial queries over dynamic data. In: ICDE (2008) 22. : A geometric approach to monitoring threshold functions over distributed data streams. ACM Trans. Database Syst. 32(4) (2007) 23. : Shape sensitive geometric monitoring. In: PODS (2008) 24. : Eﬃcient threshold monitoring for distributed probabilistic data.
To alleviate this problem, we ﬁrst organize the nodes in a hierarchical structure, which allows us to then solve the problem recursively (top-down) by reducing it to sub-problems, each containing a much smaller number of nodes. We ﬁrst perform a bottom-up hierarchical clustering of the nodes. To achieve this, a distance measure between nodes needs to be deﬁned. Since a node is represented by its data vectors, a distance measure should be deﬁned between subsets of the Euclidean space. We apply the method in , which deﬁnes the distance between sets by the L2 distance between their moment vectors (vectors whose coordinates are low-order moments of the set).
HGM results in signiﬁcantly fewer local violations, even for a small number of nodes. As the number of nodes increases, the beneﬁts of HGM over GM increase. For a modest network size of 10 nodes, HGM requires less than an order of magnitude fewer messages than GM. Monitoring Distributed, Heterogeneous Data Streams 27 Fig. 5. 3 Monitoring a Quadratic Function Another example consists of monitoring a quadratic function with more general polyhedral safe-zones in three variables (Figure 6). The data consists of measurements of three pollutants (NO, NO2 , SO2 ), and the safe-zones are polyhedra with 12 vertices.