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Pathfinder associative networks: studies in knowledge organization
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The Geometry of Information Retrieval
The Geometry of Information Retrieval
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An Investigation of the Laws of Thought
EMNLP '10 Proceedings of the 2010 Conference on Empirical Methods in Natural Language Processing
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ICSC '10 Proceedings of the 2010 IEEE Fourth International Conference on Semantic Computing
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QI'11 Proceedings of the 5th international conference on Quantum interaction
QI'11 Proceedings of the 5th international conference on Quantum interaction
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EMNLP '11 Proceedings of the Conference on Empirical Methods in Natural Language Processing
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QI'12 Proceedings of the 6th international conference on Quantum Interaction
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Journal of Biomedical Informatics
Many paths lead to discovery: analogical retrieval of cancer therapies
QI'12 Proceedings of the 6th international conference on Quantum Interaction
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This paper presents a combined structure for using real, complex, and binary valued vectors for semantic representation. The theory, implementation, and application of this structure are all significant. For the theory underlying quantum interaction, it is important to develop a core set of mathematical operators that describe systems of information, just as core mathematical operators in quantum mechanics are used to describe the behavior of physical systems. The system described in this paper enables us to compare more traditional quantum mechanical models (which use complex state vectors), alongside more generalized quantum models that use real and binary vectors. The implementation of such a system presents fundamental computational challenges. For large and sometimes sparse datasets, the demands on time and space are different for real, complex, and binary vectors. To accommodate these demands, the Semantic Vectors package has been carefully adapted and can now switch between different number types comparatively seamlessly. This paper describes the key abstract operations in our semantic vector models, and describes the implementations for real, complex, and binary vectors. We also discuss some of the key questions that arise in the field of quantum interaction and informatics, explaining how the wide availability of modelling options for different number fields will help to investigate some of these questions.