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Patterns, Complex

  • Reference work entry
Encyclopedia of GIS

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Synonyms

Correlated; Negatively-correlated; Spatial association; Co-location; Frequent itemset mining

Definition

Complex spatial relationships capture self, positive, negative and mixed relationships between spatial entities. These relationships abstract the commonly occurring relationships in ecology, cosmology and other disciplines where spatial referencing plays an important role. Table 1 enumerates the different types of complex relationships using the example of elliptical and spiral galaxy types from the field of cosmology. More formally, the definition of complex relationships is predicated on the concept of colocation.

Definitions 1 (Co-location) Two spatial objects are said to co-locate if the Euclidean distance between the objects is less than or equal to the user‐specified neighborhood distance d.

Definitions 2 (Positive) A positive relationship in spatial data is a set of features that co-locate at a ratio greater than some predefined threshold. In spatial data,...

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Recommended Reading

  1. Arunasalam, B., Chawla, S., Sun, P.: Striking two birds with one stone: Simultaneous mining of positive and negative spatial patterns. In: Proceedings of 2005 SIAM International Conference on Data Mining SDM05, to appear (2005)

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  4. Huang, Y., Xiong, H., Shekhar, S., Pei, J.: Mining confident co-location rules without a support threshold. In: Proceedings of the 18th ACM Symposium on Applied Computing ACM SAC (2003)

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  5. Munro, R., Chawla, S., Sun, P.: Complex spatial relationships. In: Proceedings of the 3rd IEEE International Conference on Data Mining, ICDM 2003, pp. 227–234. IEEE Computer Society (2003)

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  8. Shekhar, S., Huang, Y.: Discovering spatial co-location patterns: a summary of results. In: Proceedings of the 7th International Symposium on Spatial and Temporal Databases SSTD01 (2001)

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Author information

Authors and Affiliations

  1. School of Information Technologies, The University of Sydney, Sydney, NSW, Australia

    Sanjay Chawla

Authors
  1. Sanjay Chawla
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Editor information

Editors and Affiliations

  1. Faculty of Computer Science and Engineering, University of Minnesota, Minneapolis, MN, 55455, USA

    Shashi Shekhar (McKnight Distinguished University Professor) (McKnight Distinguished University Professor)

  2. Management Science and Information Systems Department, Rutgers Business School Newark and New Brunswick Rutgers, the State University of New Jersey, Newark, NJ, 07102, USA

    Hui Xiong (Assistant Professor) (Assistant Professor)

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© 2008 Springer-Verlag

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Chawla, S. (2008). Patterns, Complex. In: Shekhar, S., Xiong, H. (eds) Encyclopedia of GIS. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35973-1_965

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