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Abductive Reasoning in 2D Geospatial Problems

In: Applications of Mathematics and Informatics in Science and Engineering

Author

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  • Achilleas Koutsioumpas

    (Hellenic Military Academy)

Abstract

Spatial Analysis has been using so far Spatial Reasoning, but it mainly confines itself to spatial statistical analysis of the observed phenomena searching for pattern analysis, geostatistical indices etc. Researchers Shakarian P., Subrahmanian V. S., and Sapino M. L. are the first who examined the possibility of extending Spatial Analysis in finite, discretized, 2D space with the incorporation of Abductive Reasoning, which originates from the cognitive field of Artificial Intelligence, and is related to the analysis of causation of the phenomena under consideration. The new class of Geospatial Problems was named point-based Geospatial Abduction Problems (or point-based GAPs). They primarily focused on a version of GAPs named Improvised Explosive Devices Cache Detection Problem, or IED Cache Detection Problem, and they carried out experiments with real-world data from Baghdad. In this paper a technique which reduces the total computational cost in any version of point-based GAPs will be introduced, and an exact algorithm for the natural optimization problem of point-based GAPs will be presented along with its computational complexity results.

Suggested Citation

  • Achilleas Koutsioumpas, 2014. "Abductive Reasoning in 2D Geospatial Problems," Springer Optimization and Its Applications, in: Nicholas J. Daras (ed.), Applications of Mathematics and Informatics in Science and Engineering, edition 127, pages 333-347, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-04720-1_21
    DOI: 10.1007/978-3-319-04720-1_21
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