Logical Leaps and Quantum Connectives: Forging Paths through Predication Space
Venue
AAAI-Fall 2010 Symposium on Quantum Informatics for Cognitive, Social, and Semantic Processes. (to appear)
Publication Year
2010
Authors
Trevor Cohen, Dominic Widdows, Roger W. Schvaneveldt, Thomas C. Rindflesch
BibTeX
Abstract
The Predication-based Semantic Indexing (PSI) approach encodes both symbolic and
distributional information into a semantic space using a permutation-based variant
of Random Indexing. In this paper, we develop and evaluate a computational model of
abductive reasoning based on PSI. Using distributional information, we identify
pairs of concepts that are likely to be predicated about a common third concept, or
middle term. As this occurs without the explicit identification of the middle term
concerned, we refer to this process as a “logical leap”. Subsequently, we use
further operations in the PSI space to retrieve this middle term and identify the
predicate types involved. On evaluation using a set of 1000 randomly selected cue
concepts, the model is shown to retrieve with accuracy concepts that can be
connected to a cue concept by a middle term, as well as the middle term concerned,
using nearest-neighbor search in the PSI space. The utility of quantum logical
operators as a means to identify alternative paths through this space is also
explored.
