An echo state network imparts a curve fitting

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dc.contributor.author Manjunath, Gandhi
dc.date.accessioned 2022-04-04T04:40:25Z
dc.date.available 2022-04-04T04:40:25Z
dc.date.issued 2022-06
dc.description.abstract Recurrent neural networks (RNNs) are successfully employed in processing information from temporal data. Approaches to training such networks are varied and reservoir computing-based attainments, such as the echo state network (ESN), provide great ease in training. Akin to many machine learning algorithms rendering an interpolation function or fitting a curve, we observe that a driven system, such as an RNN, renders a continuous curve fitting if and only if it satisfies the echo state property. The domain of the learned curve is an abstract space of the left-infinite sequence of inputs and the codomain is the space of readout values. When the input originates from discrete-time dynamical systems, we find theoretical conditions under which a topological conjugacy between the input and reservoir dynamics can exist and present some numerical results relating the linearity in the reservoir to the forecasting abilities of the ESNs. en_ZA
dc.description.department Mathematics and Applied Mathematics en_ZA
dc.description.librarian hj2022 en_ZA
dc.description.uri https://ieeexplore.ieee.org/servlet/opac?punumber=5962385 en_ZA
dc.identifier.citation G. Manjunath, "An Echo State Network Imparts a Curve Fitting," in IEEE Transactions on Neural Networks and Learning Systems, vol. 33, no. 6, pp. 2596-2604, doi: 10.1109/TNNLS.2021.3099091. en_ZA
dc.identifier.issn 2162-237X (online)
dc.identifier.issn 2162-2388 (print)
dc.identifier.other 10.1109/TNNLS.2021.3099091
dc.identifier.uri http://hdl.handle.net/2263/84771
dc.language.iso en en_ZA
dc.publisher Institute of Electrical and Electronics Engineers en_ZA
dc.rights © 2021 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. en_ZA
dc.subject Recurrent neural network (RNN) en_ZA
dc.subject Echo state network (ESN) en_ZA
dc.subject Task analysis en_ZA
dc.subject Reservoirs en_ZA
dc.subject Training en_ZA
dc.subject Mathematical model en_ZA
dc.subject Dynamical systems en_ZA
dc.subject Neurons en_ZA
dc.subject Curve fitting en_ZA
dc.subject Echo state property (ESP) en_ZA
dc.subject Learning en_ZA
dc.subject Nonautonomous dynamical systems en_ZA
dc.title An echo state network imparts a curve fitting en_ZA
dc.type Postprint Article en_ZA


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