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Abstract Neural populations in the neocortex typically encode multiple stimulus features, e.g., position, brightness, contrast, and orientation of a visual stimulus in the case of cells in area 17. Here, we perform a Fisher information analysis of the encoding accuracy of a neural population which is sensitive to D stimulus features. The neurons are assumed to exhibit a non-vanishing level of baseline activity. It is shown that the encoding accuracy decreases drastically with D if the spike count variance depends on the mean spike count, as is the case for Poissonian spike statistics. The need to reduce the susceptibility to background noise thus poses severe restrictions on the neural firing statistics or the number of encoded stimulus features. The results hold for uncorrelated as well as for correlated activity in the neural population.

[1]  Peter Dayan,et al.  The Effect of Correlated Variability on the Accuracy of a Population Code , 1999, Neural Computation.

[2]  K. O. Johnson,et al.  Sensory discrimination: neural processes preceding discrimination decision. , 1980, Journal of neurophysiology.

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

[4]  A. Roskies The Binding Problem , 1999, Neuron.

[5]  J. Ko Sensory discrimination: neural processes preceding discrimination decision. , 1980 .

[6]  Christian W. Eurich,et al.  Multidimensional Encoding Strategy of Spiking Neurons , 2000, Neural Computation.

[7]  Terrence J. Sejnowski,et al.  Neuronal Tuning: To Sharpen or Broaden? , 1999, Neural Computation.

[8]  A. Grinvald,et al.  Dynamics of Ongoing Activity: Explanation of the Large Variability in Evoked Cortical Responses , 1996, Science.

[9]  Helmut Schwegler,et al.  Neural Representation of Multi-Dimensional Stimuli , 1999, NIPS.

[10]  Christian W. Eurich,et al.  Representational Accuracy of Stochastic Neural Populations , 2002, Neural Computation.

[11]  Helmut Schwegler,et al.  Coarse coding: calculation of the resolution achieved by a population of large receptive field neurons , 1997, Biological Cybernetics.

[12]  H Sompolinsky,et al.  Simple models for reading neuronal population codes. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Christian W. Eurich,et al.  What does a neuron talk about? , 1999, ESANN.