Paper Info
Title
Solving geometric analogy problems through two-stage analogical mapping.
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.
Year
DOI
Venue
2009
10.1111/j.1551-6709.2009.01052.x
COGNITIVE SCIENCE
Keywords
Field
DocType
Analogy,Geometric analogy,Symbolic computational modeling
Structural alignment,Visual processing,General purpose,Computer science,Artificial intelligence,Visual matching,Analogy,Structure mapping engine,Mental rotation,Computation
Journal
Volume
Issue
ISSN
33
7.0
0364-0213
Citations 
PageRank 
References 
16
0.99
13
Authors
4
Name
Order
Citations
PageRank
Andrew Lovett19310.43
Emmett Tomai29212.95
Kenneth D. Forbus33131862.14
Jeffrey M. Usher4494.14