Artificial Intelligence Review

, Volume 26, Issue 1–2, pp 129–140 | Cite as

Spatial inference with geometric proportional analogies

  • Emma-Claire Mullally
  • Diarmuid P. O’Donoghue


We describe an instance-based reasoning solution to a variety of spatial reasoning problems. The solution centers on identifying an isomorphic mapping between labelled graphs that represent some problem data and a known solution instance. We describe a number of spatial reasoning problems that are solved by generating non-deductive inferences, integrating topology with area (and other) features. We report the accuracy of our algorithm on different categories of spatial reasoning tasks from the domain of Geographical Information Science. The generality of our approach is illustrated by also solving geometric proportional (IQ-test type) analogy problems.


Analogical similarity Spatial inference Topographic maps 


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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  • Emma-Claire Mullally
    • 1
  • Diarmuid P. O’Donoghue
    • 1
    • 2
  1. 1.Department of Computer ScienceNational University of IrelandMaynoothIreland
  2. 2.Department of Computer Science/National Centre for GeocomputationNational University of IrelandMaynoothIreland

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