Encoding and Decoding Spikes for Dynamic Stimuli

Naturally occurring sensory stimuli are dynamic. In this letter, we consider how spiking neural populations might transmit information about continuous dynamic stimulus variables. The combination of simple encoders and temporal stimulus correlations leads to a code in which information is not readily available to downstream neurons. Here, we explore a complex encoder that is paired with a simple decoder that allows representation and manipulation of the dynamic information in neural systems. The encoder we present takes the form of a biologically plausible recurrent spiking neural network where the output population recodes its inputs to produce spikes that are independently decodeable. We show that this network can be learned in a supervised manner by a simple local learning rule.

[1]  Geoffrey E. Hinton,et al.  A Learning Algorithm for Boltzmann Machines , 1985, Cogn. Sci..

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

[3]  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.

[4]  Wulfram Gerstner,et al.  Reduction of the Hodgkin-Huxley Equations to a Single-Variable Threshold Model , 1997, Neural Computation.

[5]  Peter E. Latham,et al.  Statistically Efficient Estimation Using Population Coding , 1998, Neural Computation.

[6]  E N Brown,et al.  A Statistical Paradigm for Neural Spike Train Decoding Applied to Position Prediction from Ensemble Firing Patterns of Rat Hippocampal Place Cells , 1998, The Journal of Neuroscience.

[7]  Alexandre Pouget,et al.  Probabilistic Interpretation of Population Codes , 1996, Neural Computation.

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

[9]  Peter E. Latham,et al.  Narrow Versus Wide Tuning Curves: What's Best for a Population Code? , 1999, Neural Computation.

[10]  Geoffrey E. Hinton,et al.  Spiking Boltzmann Machines , 1999, NIPS.

[11]  Peter L. Bartlett,et al.  Infinite-Horizon Policy-Gradient Estimation , 2001, J. Artif. Intell. Res..

[12]  Michael J. Black,et al.  Probabilistic Inference of Hand Motion from Neural Activity in Motor Cortex , 2001, NIPS.

[13]  T. Baker,et al.  Odour-plume dynamics influence the brain's olfactory code , 2001, Nature.

[14]  Si Wu,et al.  Population Coding with Correlation and an Unfaithful Model , 2001, Neural Computation.

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

[16]  Roger W. Brockett,et al.  Trajectory estimation from place cell data , 2001, Neural Networks.

[17]  L. Paninski Convergence Properties of Some Spike-Triggered Analysis Techniques , 2002 .

[18]  Liam Paninski,et al.  Convergence properties of three spike-triggered analysis techniques , 2003, NIPS.

[19]  S. Panzeri,et al.  An exact method to quantify the information transmitted by different mechanisms of correlational coding. , 2003, Network.

[20]  R. Zemel,et al.  Inference and computation with population codes. , 2003, Annual review of neuroscience.

[21]  Matthew A. Wilson,et al.  Dynamic Analyses of Information Encoding in Neural Ensembles , 2004, Neural Computation.

[22]  Michael J. Black,et al.  Modeling and decoding motor cortical activity using a switching Kalman filter , 2004, IEEE Transactions on Biomedical Engineering.

[23]  R E Kass,et al.  Recursive bayesian decoding of motor cortical signals by particle filtering. , 2004, Journal of neurophysiology.

[24]  Peter Dayan,et al.  Probabilistic Computation in Spiking Populations , 2004, NIPS.

[25]  Konrad Paul Kording,et al.  Bayesian integration in sensorimotor learning , 2004, Nature.

[26]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[27]  Michael S. Lewicki,et al.  Efficient Coding of Time-Relative Structure Using Spikes , 2005, Neural Computation.

[28]  I. Dean,et al.  Neural population coding of sound level adapts to stimulus statistics , 2005, Nature Neuroscience.

[29]  Thomas M. Cover,et al.  Elements of information theory (2. ed.) , 2006 .

[30]  Peter Dayan,et al.  Fast Population Coding , 2007, Neural Computation.