Abstract
Substantial advances have been achieved, since the pioneering work in the 50’s and 60’s by Mountcastle, Hubel, Wiesel and Evarts, amongst others, in understanding the cortex as a continuously adapting system, shaped by competitive and co—operative interactions. However, the greatest part of the effort has been devoted to the investigation of the receptive—field properties of cortical maps, whereas relatively little attention has been devoted to the role of lateral connections and the cortical dynamic processes that are determined by the patterns of recurrent excitation (Amari 1977, Kohonen 1982, Grajski and Merzenich 1990, Reggia et al. 1992, Martinetz and Schulten 1994, Sirosh and Miikkulainen 1997, Sanguineti et al. 1997a, Levitan and Reggia 1999, 2000). In this chapter we explore the hypothesis that lateral connections may actually be used to build topological internal representations and propose that the latter are particularly well suited for the processing of high—dimensional ‘spatial’ variables and for solving complex problems of motor control that involve sensorimotor information. In particular, we apply the methods to the case of speech motor control in which acoustic and articulatory variables are typically high-dimensional, and describe an approach to articulatory speech synthesis that is based on the dynamic interaction of two computational maps.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Amari S. Dynamics of pattern formation in lateral-inhibition type neural fields. Biol. Cybern., 27, 77–87 (1977)
Badin P., Gabioud B., Beautemps D., Lallouache T., Bailly G., Maeda S., Zerling JP., Brock G. Cineradiography of VCV sequences: articulatory-acoustic data for a speech production model. In International Conference on Acoustics, pp. 349–352, Trondheim, Norway (1995)
Benaim M. On functional approximation with normalized GaussianUnits. Neural Comput., 6, 319–333 (1994)
Benaim M., Tomasini L. Competitive and self-organizing algorithms based on the minimization of an information criterion. In Artificial Neural Networks (T. Kohonen, K. Makisara, O. Simula, and J. Kangas, editors), pp. 391–396, North-Holland, Amsterdam (1991)
Braitenberg V. Vehicles — Experiments in Synthetic Psychology. MIT Press, Cambridge, Mass. (1984).
Bullock D., Grossberg S. VITE and FLETE: Neural modules for trajectory formation and postural control. In Volitional Action (W.A. Hershberger, editor), pp. 253–297, North-Holland, Amsterdam (1989)
Calvin WH. Cortical columns, modules, and Hebbian cell assembles. In The handbook of brain theory and neural networks (M. A. Arbib, editor), pp.269–272. MIT Press, Cambridge, Mass (1995)
Conway JH, Sloane NJA. Sphere packings, lattices and groups. Springer Verlag, New York, NY (1993).
Droulez J., Berthoz A. A neural model of sensoritopic maps with predictive short-term memory properties. Proceedings of the National Academy of Sciences, 88, 9653–9657, (1991)
Durbin R., G.Mitchison G. A dimension reduction framework for understanding cortical maps. Nature, 343, 644–647 (1990)
Das A, Gilbert CD. Topography of contextual modulations mediated by short-range interactions in primary visual cortex. Nature, 399, 655–661 (1999)
Flash T., N.Hogan N. The coordination of arm movements: an experimentally confirmed mathematical model. J. Neurosci., 7, 1688–1703 (1985)
Frisone F., Morasso P., Perico L. Self-organization in cortical maps & EM learning. J. Advanced Computat. Intel., 2, 178–184 (1998a)
Frisone F., Vitali P., Morasso P. Cortical activity pattern in complex tasks. In Computational Neuroscience: Trends in Research (J.M. Bower, editor), Plenum Press, pp. 13–18 (1998b)
Frisone F, Vitali P, Iannò G, Marongiu M, Morasso P, Pilot A, Rodriguez G, Rosa M, Sardanelli F. Can the synchronization of cortical areas be evidenced by fMRI? J. Neurocomp., 26-27, 1019–1024. (1999)
Georgopoulos AP, Lurito JT, Petrides M, Schwartz AB, Massey JT. Mental rotation of the neuronal population vector. Science, 243, 234–236 (1989)
Gilbert CD, Wiesel TN. Morphology and intracortical projections of functionally identified neurons in cat visual cortex. Nature, 280, 120–125 (1979)
Grajski KA, Merzenich MM. Hebb-type dynamics is sufficient to account for the inverse magnification rule in cortical somatotopy. Neural Comput., 2, 71–84 (1990)
Grossberg S. Contour enhancement, short term memory, and constancies in reverberating neural networks. Studies in Appl. Math., 52, 213–257 (1973)
Jordan MI, Rumelhart DE. Forward models: Supervised learning with a distal teacher. Cognitive Sci., 16, 307–354 (1992)
Katz LC, Callaway EM. Development of local circuits in mammalian visual cortex. Ann. Rev. Neurosci., 15, 31–56 (1992)
Knudsen EI, duLac S, Esterly SD. Computational maps in the brain. Ann. Rev. Neurosci., 10, 41–65 (1987)
Kohonen T. Self organizing formation of topologically correct feature maps. Biol. Cybern., 43, 59–69 (1982)
Levitan S, Reggia JA. Interhemispheric effects on map organization following simulated cortical lesions. Artif. Intell. Med., 17, 59–85 (1999)
Levitan S, Reggia JA. A computational model of lateralization and asymmetries in cortical maps. Neural Comput., 12, 2037–2062 (2000)
Laboissiere R. Préliminaires pour une Robotique de la Communication Parlée: Inversion et Controle d’un Modèle Articulatoire du Conduit Vocal. PhD Thesis, Institut National Polytechnique de Grenoble, (1992)
Lindblom B, Lubker J, Gay T. Formant frequencies of some fixed-mandible vowels and a model of speech motor programming by predictive simulation. J. Phonetics, 7, 147–161 (1979)
Lukashin AV, Georgopoulos AP. A neural network for coding trajectories by time series of neuronal population vectors. Neural Comput., 6, 19–28 (1994)
Maeda S. Improved articulatory model. J. Acoust. Soc. America, 81(S1), S146 (1988)
Martinetz T, Schulten K. Topology representing networks. Neural Networks, 7, 507–522 (1994)
Morasso P., Sanguined V. Self-organizing body-schema for motor planning. J. Motor Behav., 26, 131–148 (1995)
Morasso P, Sanguined V. How the brain can discover the existence of external egocentric space. Neurocomput., 12, 289–310 (1996)
Morasso P, Sanguineti V, Frisone F, Perico L. Coordinate-free sensorimotor processing: computing with population codes. Neural Networks, 11, 1417–1428 (1998)
Morasso P, Sanguineti V, Frisone F. Computational implications of modeling grasping as a form of (multiple-parallel) reaching. Motor Control, 3, 276–279 (1999)
Morasso P. (2000) Is schema theory an appropriate framework for modeling the organization of the brain? Behav. Brain Sci., 23 (2000)
Munoz DP, Pelisson D, Guitton D. Movement of neural activity on the superior colliculus motor map during gaze shifts. Science, 251, 358–360 (1991)
Nicoll A, Blakemore C. Patterns of local connectivity in the neocortex. Neural Comput., 5, 665–680 (1993)
Ohman A. Numerical model of coarticulation. J. Acoust. Soc. America, 41, 310–320 (1967)
Reggia JA, D’Autrechy CL, Sutton GG III, Weinrich M. A competitive distribution theory of neocortical dynamics. Neural Comput., 4, 287–317 (1992)
Salinas E, Abbott LF. Transfer of coded information from sensory to motor networks. J. Neurosci., 15, 6461–6474 (1995)
Sanger TD. Theoretical considerations for the analysis of population coding in motor cortex. Neural Comput., 6, 29–37 (1994)
Sanger TD, Merzenich MM. Computational model of the role of sensory disorganization in focal task-specific dystonia. J. Neurophysiol., 84, 2458–2464 (2000)
Sanguined V, Morasso P, Frisone F. Cortical maps of sensorimotor spaces. In Self-organization, Computational Maps, and Motor Control (P. Morasso and V. Sanguineti, editors), pp 1–36. North Holland, Amsterdam (1997a)
Sanguineti V, Laboissière R, Payan Y. A control model of human tongue movements in speech. Biol. Cybern., 77, 11–22 (1997b)
Sanguineti V, Laboissière R, Ostry DJ. A Dynamic Biomechanical Model for Neural Control of Speech Production. J. Acoust. Soc. America, 103, 1615–1627 (1998)
Schwark HD, Jones EG. The distribution of intrinsic cortical axons in area 3b of cat primary somatosensory cortex. Exper. Brain Res., 78, 501–513 (1989)
Singer W. Synchronization of neural responses as a putative binding mechanism. In The handbook of brain theory and neural networks (M.A. Arbib, editor), pp 960–964. MIT Press, Cambridge, Mass (1995)
Sirosh J, Miikkulainen R. Topographic receptive fields and patterned lateral interaction in a self-organizing model of the primary visual cortex. Neural. Comput., 9, 577–594 (1997)
Zipser D, Andersen RA. A back-propagation programmed network that simulates response properties of a subset of posterior parietal neurons. Nature, 331, 679–684 (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Morasso, P., Sanguineti, V., Frisone, F. (2001). Cortical Maps as Topology-Representing Neural Networks Applied to Motor Control:. In: Mastebroek, H.A.K., Vos, J.E. (eds) Plausible Neural Networks for Biological Modelling. Mathematical Modelling: Theory and Applications, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0674-3_9
Download citation
DOI: https://doi.org/10.1007/978-94-010-0674-3_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3864-5
Online ISBN: 978-94-010-0674-3
eBook Packages: Springer Book Archive