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      The Cerebro-Cerebellum as a Locus of Forward Model: A Review

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          Abstract

          This review surveys physiological, behavioral, and morphological evidence converging to the view of the cerebro-cerebellum as loci of internal forward models. The cerebro-cerebellum, the phylogenetically newest expansion in the cerebellum, receives convergent inputs from cortical, subcortical, and spinal sources, and is thought to perform the predictive computation for both motor control, motor learning, and cognitive functions. This predictive computation is known as an internal forward model. First, we elucidate the theoretical foundations of an internal forward model and its role in motor control and motor learning within the framework of the optimal feedback control model. Then, we discuss a neural mechanism that generates various patterns of outputs from the cerebro-cerebellum. Three lines of supporting evidence for the internal-forward-model hypothesis are presented in detail. First, we provide physiological evidence that the cerebellar outputs (activities of dentate nucleus cells) are predictive for the cerebellar inputs [activities of mossy fibers (MFs)]. Second, we provide behavioral evidence that a component of movement kinematics is predictive for target motion in control subjects but lags behind a target motion in patients with cerebellar ataxia. Third, we provide morphological evidence that the cerebellar cortex and the dentate nucleus receive separate MF projections, a prerequisite for optimal estimation. Finally, we speculate that the predictive computation in the cerebro-cerebellum could be deployed to not only motor control but also to non-motor, cognitive functions. This review concludes that the predictive computation of the internal forward model is the unifying algorithmic principle for understanding diverse functions played by the cerebro-cerebellum.

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          Multilayer feedforward networks are universal approximators

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            Backpropagation through time: what it does and how to do it

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              Harnessing nonlinearity: predicting chaotic systems and saving energy in wireless communication.

              We present a method for learning nonlinear systems, echo state networks (ESNs). ESNs employ artificial recurrent neural networks in a way that has recently been proposed independently as a learning mechanism in biological brains. The learning method is computationally efficient and easy to use. On a benchmark task of predicting a chaotic time series, accuracy is improved by a factor of 2400 over previous techniques. The potential for engineering applications is illustrated by equalizing a communication channel, where the signal error rate is improved by two orders of magnitude.
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                Author and article information

                Contributors
                Journal
                Front Syst Neurosci
                Front Syst Neurosci
                Front. Syst. Neurosci.
                Frontiers in Systems Neuroscience
                Frontiers Media S.A.
                1662-5137
                09 April 2020
                2020
                : 14
                : 19
                Affiliations
                [1] 1Japan Advanced Institute of Science and Technology , Nomi, Japan
                [2] 2Tokyo Metropolitan Institute of Medical Science , Tokyo, Japan
                [3] 3Komatsu University , Komatsu, Japan
                Author notes

                Edited by: Richard Apps, University of Bristol, United Kingdom

                Reviewed by: R. Chris Miall, University of Birmingham, United Kingdom; Jeffery Allen Boychuk, The University of Texas Health Science Center at San Antonio, United States

                *Correspondence: Shinji Kakei kakei-sj@ 123456igakuken.or.jp
                Article
                10.3389/fnsys.2020.00019
                7160920
                32327978
                198e8e0c-203c-45df-b5fd-60b42cd08500
                Copyright © 2020 Tanaka, Ishikawa, Lee and Kakei.

                This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

                History
                : 11 November 2019
                : 20 March 2020
                Page count
                Figures: 7, Tables: 0, Equations: 2, References: 117, Pages: 16, Words: 12673
                Funding
                Funded by: Japan Society for the Promotion of Science 10.13039/501100001691
                Award ID: 25430007, 26120005, 16K12476, 24650224, 14580784, 15016008, 16015212, 20033029, 21500319, 26120003
                Funded by: Japan Science and Technology Agency 10.13039/501100002241
                Award ID: PRESTO: Intelligent Cooperation and Control
                Funded by: Ministry of Education, Culture, Sports, Science and Technology 10.13039/501100001700
                Funded by: Kurata Memorial Hitachi Science and Technology Foundation 10.13039/100010278
                Funded by: Tateishi Science and Technology Foundation 10.13039/501100012025
                Categories
                Neuroscience
                Review

                Neurosciences
                cerebral cortex,cerebellar circuitry,forward model,motor function,higher brain function,neural networks

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