Analogical projection in pattern perception
Mehdi M. Dastani, Bipin Indurkhya, Remko J. H. Scha · Journal of Experimental & Theoretical Artificial Intelligence · 2003
This paper proposes a perceptually motivated method for solving proportional analogy problems involving sequential patterns. Our method is based on an algebraic model of pattern perception that determines the gestalt structure of sequential patterns. The gestalts of sequential patterns are represented as algebraic terms in the model. An analogical relation between sequential patterns appearing in proportional analogy is then formalized as a mapping between algebras that generate terms representing the gestalts of these patterns. Based on this formalism, an algorithm is proposed that solves proportional analogy problems: given three sequential patterns, the algorithm computes a fourth pattern such that the resulting two pairs of patterns are perceived as having an identical analogical relation.