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Article

Differential Neural Network-Based Nonparametric Identification of Eye Response to Enforced Head Motion

1
Bioprocesses Department, UPIBI, Instituto Politecnico Nacional, Ciudad de Mexico 07340, Mexico
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School of Engineering, Tecnologico de Monterrey, Campus Guadalajara, Monterrey 64849, Mexico
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Center “Supersonic”, Lomonosov Moscow State University, 119991 Moscow, Russia
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V.A. Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, Russia
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Center “Supersonic”, Interdisciplinary Scientific and Educational School “Mathematical Methods of Large-Scale Systems Analysis”, Lomonosov Moscow State University, 119991 Moscow, Russia
*
Author to whom correspondence should be addressed.
Academic Editors: Natalia Bakhtadze, Igor Yadykin, Andrei Torgashov and Nikolay Korgin
Mathematics 2022, 10(6), 855; https://doi.org/10.3390/math10060855
Received: 10 February 2022 / Revised: 22 February 2022 / Accepted: 2 March 2022 / Published: 8 March 2022
Dynamic motion simulators cannot provide the same stimulation of sensory systems as real motion. Hence, only a subset of human senses should be targeted. For simulators providing vestibular stimulus, an automatic bodily function of vestibular–ocular reflex (VOR) can objectively measure how accurate motion simulation is. This requires a model of ocular response to enforced accelerations, an attempt to create which is shown in this paper. The proposed model corresponds to a single-layer spiking differential neural network with its activation functions are based on the dynamic Izhikevich model of neuron dynamics. An experiment is proposed to collect training data corresponding to controlled accelerated motions that produce VOR, measured using an eye-tracking system. The effectiveness of the proposed identification is demonstrated by comparing its performance with a traditional sigmoidal identifier. The proposed model based on dynamic representations of activation functions produces a more accurate approximation of foveal motion as the estimation of mean square error confirms. View Full-Text
Keywords: nonparametric model; artificial neural network; Izhikevich artificial neuron; vestibular–ocular reflex; control Lyapunov function nonparametric model; artificial neural network; Izhikevich artificial neuron; vestibular–ocular reflex; control Lyapunov function
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MDPI and ACS Style

Chairez, I.; Mukhamedov, A.; Prud, V.; Andrianova, O.; Chertopolokhov, V. Differential Neural Network-Based Nonparametric Identification of Eye Response to Enforced Head Motion. Mathematics 2022, 10, 855. https://doi.org/10.3390/math10060855

AMA Style

Chairez I, Mukhamedov A, Prud V, Andrianova O, Chertopolokhov V. Differential Neural Network-Based Nonparametric Identification of Eye Response to Enforced Head Motion. Mathematics. 2022; 10(6):855. https://doi.org/10.3390/math10060855

Chicago/Turabian Style

Chairez, Isaac, Arthur Mukhamedov, Vladislav Prud, Olga Andrianova, and Viktor Chertopolokhov. 2022. "Differential Neural Network-Based Nonparametric Identification of Eye Response to Enforced Head Motion" Mathematics 10, no. 6: 855. https://doi.org/10.3390/math10060855

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