We know that visual representations are important for problem solving, under what conditions this is true is poorly understood.
In my theory visual representations are useful when the non-visual representations contain mismatches between symbols that are similar at a visual level. For example, a wall and a pole are not the same thing, but your visualization of them, perhaps as lines, can show their similarity. For papers on the theory, see:
Davies, J., Goel, A. K. & Nersessian, N. J. (2003). Visual Re-Representation in Creative Analogies. The Third Workshop on Creative Systems. International Joint Conference on Artificial Intelligence.
Davies, J., Goel, A. K., & Nersessian, N. J. (2009). A Computational Model of Visual Analogies in Design. Cognitive Systems Research: Special Issue on Analogies, 10, 204--215.
To solve this problem I am creating a language of visual primitives called Covlan. In my theory, translating a memory into this visual language will facilitate analogical problem solving in some cases.
My computer program Galatea implements core parts of the theory.
Papers on Covlan and Galatea
Davies, J., & Goel, A. K. (2001). Visual analogy in problem solving. Proceedings of the International Joint Conference on Artificial Intelligence 2001. pp 377-382. Morgan Kaufmann publishers.
Davies, J., & Goel, A. K. (2003). Representation issues in visual analogy. Proceedings of the 25th Annual Conference of the Cognitive Science Society. 300--305.
Davies, J. & Goel, A. K. (2007a). Transfer of problem-solving strategy using the cognitive visual language. The Journal of Visual Languages and Computing. 18:2 149--164.
The work was presented at this conference:
Model-Based Reasoning: Scientific Discovery, Technological
Innovation, Values 2001 conference.
Submitted Abstract: [
Microsoft Word
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Talk: [
Microsoft PowerPoint
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and at my presentation given to the 2001 Cognitive Studies of Science Workshop in Charlottesville. [ html | power point ]
Davies, J. & Goel, A. K. (2003). Visual case-based reasoning: Transfer and Adaptation. The 1st Indian International Conference on Artificial Intelligence. Springer.
These are geared toward Case-based reasoning as a cognitive model.
Davies, J., Goel, A. K. & Nersessian, N. J. (2005). Transfer in visual case-based problem-solving. In H. Munoz-Avila & F. Ricci (Eds.) Proceedings of the 6th International Conference on Case-Based Reasoning. Springer-Verlag. Berlin Heidelberg. 163--176.
Davies, J., Goel, A. K., & Nersessian, N. J. (2005). A cognitive model of visual analogical problem-solving transfer. Poster paper in L. P. Kaelbling & A. Saffioti (Eds.) the Proceedings of the Nineteenth Annual International Joint Conference on Artificial Intelligence. Professional Book Center, Denver, CO. 1556-1557.