Solving Geometric Analogy Problems Through Two‐Stage Analogical Mapping

Cognitive Science 33 (7):1192-1231 (2009)
  Copy   BIBTEX

Abstract

Evans’ 1968 ANALOGY system was the first computer model of analogy. This paper demonstrates that the structure mapping model of analogy, when combined with high‐level visual processing and qualitative representations, can solve the same kinds of geometric analogy problems as were solved by ANALOGY. Importantly, the bulk of the computations are not particular to the model of this task but are general purpose: We use our existing sketch understanding system, CogSketch, to compute visual structure that is used by our existing analogical matcher, Structure Mapping Engine (SME). We show how SME can be used to facilitate high‐level visual matching, proposing a role for structural alignment in mental rotation. We show how second‐order analogies over differences computed via analogies between pictures provide a more elegant model of the geometric analogy task. We compare our model against human data on a set of problems, showing that the model aligns well with both the answers chosen by people and the reaction times required to choose the answers.

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 99,245

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Analogy-making in situation theory.Emre Sahin & Varol Akman - 2008 - In Randal B. Bernstein & Wesley N. Curtis (eds.), Artificial Intelligence: New Research. Nova Science Publishers, Inc.. pp. 299-321.

Analytics

Added to PP
2013-11-03

Downloads
79 (#224,992)

6 months
7 (#587,762)

Historical graph of downloads
How can I increase my downloads?