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Conference Paper Flexible Reasoning of Boolean Constraints in Recurrent Neural Networks with Dual Representation
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Authors
Wonil Chang, Hyun Ah Song, Soo-Young Lee
Issue Date
2013-11
Citation
International Conference on Neural Information Processing (ICONIP) 2013 (LNCS 8226), v.8226, pp.106-112
Publisher
Springer
Language
English
Type
Conference Paper
DOI
https://dx.doi.org/10.1007/978-3-642-42054-2_14
Abstract
In this paper, we propose a recurrent neural network that can flexibly make inferences to satisfy given Boolean constraints. In our proposed network, each Boolean variable is represented in dual representation by a pair of neurons, which can handle four states of true, false, unknown, and contradiction. We successfully import Blake's classical Boolean reasoning algorithm to recurrent neural network with hidden neurons of Boolean product terms. For symmetric Boolean functions, we designed an extended model of Boolean reasoning which can drastically reduce the hardware cost. Since our network has only excitatory connections, it does not suffer from oscillation and we can freely combine multiple Boolean constraints. © Springer-Verlag 2013.
KSP Keywords
Boolean constraints, Boolean reasoning, Dual representation, Extended Model, Hidden Neurons, Product Terms, Reasoning algorithm, Symmetric boolean functions, hardware cost, neural network(NN), recurrent neural network(RNN)