A Structure Mapping Model for Solving Geometric Analogy Problems

Evan's 1968 ANALOGY system was the first computer model of analogy. This paper demonstrates that structure-mapping, when combined with high-level visual processing and qualitative representations, can do the same kinds of problems with hand-drawn sketched inputs. Importantly, the bulk of the computations are not particular to the model of this task but are general purpose: we sketch the problems using our existing sketch understanding system, sKEA, which computes visual structure that is used by our existing analogical matcher, SME. We show how SME can be used to facilitate high-level visual matching and how second-order analogies over differences computed via analogies between sketches provide a more elegant model of this task.