Three-dimensional frames of references transformations using recurrent populations of neurons

This work investigates whether population vector coding, a distributed computational paradigm, could be a principle mechanism for performing sensorimotor and frames of reference transformations. This paper presents a multilayer neural network that can perform arbitrary three-dimensional rotations and translations. We demonstrate, both formally and numerically, that the non-linearity of these transformations can be resolved thanks to the recurrent and concurrent activities of continuous populations of neurons.

[1]  D. Hoffman,et al.  Muscle and movement representations in the primary motor cortex. , 1999, Science.

[2]  Emilio Salinas.  Self-sustained activity in networks of gain-modulated neurons , 2003, Neurocomputing.

[3]  Bagrat Amirikian,et al.  Directional tuning profiles of motor cortical cells , 2000, Neuroscience Research.

[4]  L F Abbott,et al.  Transfer of coded information from sensory to motor networks , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[5]  A. Pouget,et al.  Efficient computation and cue integration with noisy population codes , 2001, Nature Neuroscience.

[6]  Frédéric Albert,et al.  Proprioceptive population coding of limb position in humans , 2003, Experimental Brain Research.

[7]  A. P. Georgopoulos,et al.  Primate motor cortex and free arm movements to visual targets in three- dimensional space. II. Coding of the direction of movement by a neuronal population , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[8]  W. Wheeler,et al.  Dissociation between hand motion and population vectors from neural activity in motor cortex , .

[9]  Emmanuel Guigon,et al.  Population Computation of Vectorial Transformations , 2002, Neural Computation.

[10]  D. Perrett,et al.  EFFECT OF IMAGE ORIENTATION AND SIZE ON OBJECT RECOGNITION: RESPONSES OF SINGLE UNITS IN THE MACAQUE MONKEY TEMPORAL CORTEX , 2000, Cognitive neuropsychology.

[11]  L. Abbott,et al.  A model of multiplicative neural responses in parietal cortex. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[12]  K. Zhang,et al.  Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory , 1996, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[13]  F. Lacquaniti,et al.  Parieto-frontal coding of reaching: an integrated framework , 1999, Experimental Brain Research.

[14]  Mark C. W. van Rossum,et al.  Computation with populations codes in layered networks of integrate-and-fire neurons , 2004, Neurocomputing.

[15]  A P Batista,et al.  Reach plans in eye-centered coordinates. , 1999, Science.

[16]  Teuvo Kohonen,et al.  The self-organizing map , 1990 .

[17]  A. P. Georgopoulos,et al.  Primate motor cortex and free arm movements to visual targets in three- dimensional space. I. Relations between single cell discharge and direction of movement , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[18]  G. Marsaglia.  Choosing a Point from the Surface of a Sphere , 1972 .

[19]  L. Chalupa,et al.  The visual neurosciences , 2004 .