Neural Network Based Nonlinear Weighted Finite Automata
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Weighted finite automata (WFA) can expressively model functions defined over strings. However, a WFA is inherently a linear model. In this paper, we propose a neural network based nonlinear WFA model along with a learning algorithm. Our learning algorithm performs a nonlinear decomposition of the so-called Hankel matrix (using an encode decoder neural network) from which the transition operators of the model are recovered. We assessed the performance of the proposed model in a simulation study.
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