Interval methods for seeking fixed points of recurrent neural networks

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Abstract

The paper describes an application of interval methods to train recurrent neural networks and investigate their behavior. The HIBA_USNE multithreaded interval solver for nonlinear systems and algorithmic differentiation using ADHC are used. Using interval methods, we can not only train the network, but precisely localize all stationary points of the network. Preliminary numerical results for continuous Hopfield-like networks are presented.

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APA

Kubica, B. J., Hoser, P., & Wiliński, A. (2020). Interval methods for seeking fixed points of recurrent neural networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12139 LNCS, pp. 414–423). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-50420-5_30

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