Ruling out and ruling in neural codes

The subject of neural coding has generated much debate. A key issue is whether the nervous system uses coarse or fine coding. Each has different strengths and weaknesses and, therefore, different implications for how the brain computes. For example, the strength of coarse coding is that it is robust to fluctuations in spike arrival times; downstream neurons do not have to keep track of the details of the spike train. The weakness, though, is that individual cells cannot carry much information, so downstream neurons have to pool signals across cells and/or time to obtain enough information to represent the sensory world and guide behavior. In contrast, with fine coding, individual cells can carry much more information, but downstream neurons have to resolve spike train structure to obtain it. Here, we set up a strategy to determine which codes are viable, and we apply it to the retina as a model system. We recorded from all the retinal output cells an animal uses to solve a task, evaluated the cells' spike trains for as long as the animal evaluates them, and used optimal, i.e., Bayesian, decoding. This approach makes it possible to obtain an upper bound on the performance of codes and thus eliminate those that are insufficient, that is, those that cannot account for behavioral performance. Our results show that standard coarse coding (spike count coding) is insufficient; finer, more information-rich codes are necessary.

[1]  N. Newman The Visual Neurosciences , 2005 .

[2]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[3]  D. Hubel,et al.  The role of fixational eye movements in visual perception , 2004, Nature Reviews Neuroscience.

[4]  Don H. Johnson,et al.  Optimal Stimulus Coding by Neural Populations Using Rate Codes , 2004, Journal of Computational Neuroscience.

[5]  Sheila Nirenberg,et al.  Classification of retinal ganglion cells: a statistical approach. , 2003, Journal of neurophysiology.

[6]  Daeyeol Lee,et al.  Neural Noise and Movement-Related Codes in the Macaque Supplementary Motor Area , 2003, The Journal of Neuroscience.

[7]  Sheila Nirenberg,et al.  Decoding neuronal spike trains: How important are correlations? , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[8]  M. Young,et al.  Correlations, feature‐binding and population coding in primary visual cortex , 2003, Neuroreport.

[9]  M W Oram,et al.  The temporal resolution of neural codes: does response latency have a unique role? , 2002, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[10]  R. Kass,et al.  Bayesian curve-fitting with free-knot splines , 2001 .

[11]  M. Diamond,et al.  Population Coding of Stimulus Location in Rat Somatosensory Cortex , 2001, Neuron.

[12]  Felix Wichmann,et al.  The psychometric function: I. Fitting, sampling, and goodness of fit , 2001, Perception & psychophysics.

[13]  B J Richmond,et al.  Excess synchrony in motor cortical neurons provides redundant direction information with that from coarse temporal measures. , 2001, Journal of neurophysiology.

[14]  Robert E. Kass,et al.  A Spike-Train Probability Model , 2001, Neural Computation.

[15]  P. Latham,et al.  Retinal ganglion cells act largely as independent encoders , 2001, Nature.

[16]  R. Douglas,et al.  Behavioral assessment of visual acuity in mice and rats , 2000, Vision Research.

[17]  J D Victor,et al.  Temporal aspects of neural coding in the retina and lateral geniculate. , 1999, Network.

[18]  Alexander Borst,et al.  Information theory and neural coding , 1999, Nature Neuroscience.

[19]  R. Masland,et al.  The Major Cell Populations of the Mouse Retina , 1998, The Journal of Neuroscience.

[20]  G. Laurent,et al.  Who reads temporal information contained across synchronized and oscillatory spike trains? , 1998, Nature.

[21]  R. Strom,et al.  Genetic and Environmental Control of Variation in Retinal Ganglion Cell Number in Mice , 1996, The Journal of Neuroscience.

[22]  Y. Uji,et al.  Morphological classification of retinal ganglion cells in mice , 1995, The Journal of comparative neurology.

[23]  John P. Miller,et al.  Temporal encoding in nervous systems: A rigorous definition , 1995, Journal of Computational Neuroscience.

[24]  Michael N. Shadlen,et al.  Noise, neural codes and cortical organization , 1994, Current Opinion in Neurobiology.

[25]  William Bialek,et al.  Statistics of Natural Images: Scaling in the Woods , 1993, NIPS.

[26]  L. Pinto,et al.  Response properties of ganglion cells in the isolated mouse retina , 1993, Visual Neuroscience.

[27]  J. Movshon,et al.  The analysis of visual motion: a comparison of neuronal and psychophysical performance , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[28]  B J Richmond,et al.  Interactive effects among several stimulus parameters on the responses of striate cortical complex cells. , 1991, Journal of neurophysiology.

[29]  William Bialek,et al.  Reading a Neural Code , 1991, NIPS.

[30]  P. E. Hallett,et al.  A schematic eye for the mouse, and comparisons with the rat , 1985, Vision Research.

[31]  J. Fuller,et al.  Eye and head movements in the pigmented rat , 1985, Vision Research.

[32]  L. Pinto,et al.  Electrophysiology of retinal ganglion cells in the mouse: a study of a normally pigmented mouse and a congenic hypopigmentation mutant, pearl. , 1982, Journal of neurophysiology.

[33]  A. Holden Vertebrate Photoreception , 1979 .

[34]  H. Collewijn Eye‐ and head movements in freely moving rabbits. , 1977, The Journal of physiology.

[35]  A. Fuchs Saccadic and smooth pursuit eye movements in the monkey , 1967, The Journal of physiology.

[36]  Robert W. Williams,et al.  Eye, retina, and visual system of the mouse , 2008 .

[37]  R. Brückner,et al.  Spaltlampenmikroskopie und Ophthalmoskopie am Auge von Ratte und Maus , 2004, Documenta Ophthalmologica.

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

[39]  Eero P. Simoncelli,et al.  Natural image statistics and neural representation. , 2001, Annual review of neuroscience.

[40]  Yoshua,et al.  Pattern Recognition and Neural Networks , 1995 .

[41]  R. Bruckner [Slit-lamp microscopy and ophthalmoscopy in rat and mouse]. , 1951, Documenta ophthalmologica. Advances in ophthalmology.