An Analysis of the Relation Between Similarity Positions and Attributes of Concepts by Distance Geometry

In this paper, we discussed the relation between the attributes of a concept and its similarity position with other concepts. We constructed a function to map a similarity position of a concept to its coordinates in a geometry space. The coordinates can be further mapped to the attributes through another function. We constructed the functions by distance geography methods and proved that such functions do exist under some conditions. This work will benefit attribute retrieval tasks.

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