Information-Theoretic Analysis of Neural Coding

We describe an approach to analyzing single- and multiunit (ensemble) discharge patterns based on information-theoretic distance measures and on empirical theories derived from work in universal signal processing. In this approach, we quantify the difference between response patterns, whether time-varying or not, using information-theoretic distance measures. We apply these techniques to single- and multiple-unit processing of sound amplitude and sound location. These examples illustrate that neurons can simultaneously represent at least two kinds of information with different levels of fidelity. The fidelity can persist through a transient and a subsequent steady-state response, indicating that it is possible for an evolving neural code to represent information with constant fidelity.

[1]  A. Carlton On the bias of information estimates. , 1969 .

[2]  R. Fagen Information measures: statistical confidence limits and inference. , 1978, Journal of theoretical biology.

[3]  Christof Koch,et al.  Coding of Time-Varying Signals in Spike Trains of Integrate-and-Fire Neurons with Random Threshold , 1999, Neural Computation.

[4]  Michael Gutman,et al.  Asymptotically optimal classification for multiple tests with empirically observed statistics , 1989, IEEE Trans. Inf. Theory.

[5]  Raphail E. Krichevsky,et al.  The performance of universal encoding , 1981, IEEE Trans. Inf. Theory.

[6]  Don H. Johnson,et al.  Array Signal Processing: Concepts and Techniques , 1993 .

[7]  Jonathan D. Victor,et al.  Metric-space analysis of spike trains: theory, algorithms and application , 1998, q-bio/0309031.

[8]  C Tsuchitani,et al.  The inhibition of cat lateral superior olive unit excitatory responses to binaural tone bursts. I. The transient chopper response. , 1988, Journal of neurophysiology.

[9]  D H Johnson,et al.  The transmission of signals by auditory-nerve fiber discharge patterns. , 1983, The Journal of the Acoustical Society of America.

[10]  A. Aertsen,et al.  Dynamics of neuronal interactions in monkey cortex in relation to behavioural events , 1995, Nature.

[11]  D. H. Johnson,et al.  Excitatory/inhibitory interaction in the LSO revealed by point process modeling , 1992, Hearing Research.

[12]  W Singer,et al.  Visual feature integration and the temporal correlation hypothesis. , 1995, Annual review of neuroscience.

[13]  A. Aertsen,et al.  Spike synchronization and rate modulation differentially involved in motor cortical function. , 1997, Science.

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

[15]  Anand Ganesh Dabak A geometry for detection theory , 1993 .

[16]  R. Reid,et al.  Precisely correlated firing in cells of the lateral geniculate nucleus , 1996, Nature.

[17]  J Szentagothai,et al.  [Neuronal circuits of the cerebral cortex]. , 1970, Bulletin de l'Academie royale de medecine de Belgique.

[18]  M. Basseville Distance measures for signal processing and pattern recognition , 1989 .

[19]  M. Zacksenhouse,et al.  Excitation effects on LSO unit sustained responses: Point process characterization , 1993, Hearing Research.

[20]  G. Laurent,et al.  Odour encoding by temporal sequences of firing in oscillating neural assemblies , 1996, Nature.

[21]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .

[22]  Don H. Johnson,et al.  Point process models of single-neuron discharges , 1996, Journal of Computational Neuroscience.

[23]  M Zacksenhouse,et al.  Single-neuron modeling of LSO unit responses. , 1998, Journal of neurophysiology.

[24]  Moshe Abeles,et al.  Corticonics: Neural Circuits of Cerebral Cortex , 1991 .

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

[26]  W. Bialek,et al.  Naturalistic stimuli increase the rate and efficiency of information transmission by primary auditory afferents , 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[27]  L. Scharf,et al.  Statistical Signal Processing: Detection, Estimation, and Time Series Analysis , 1991 .

[28]  Meir Feder,et al.  A universal finite memory source , 1995, IEEE Trans. Inf. Theory.

[29]  C Tsuchitani,et al.  The inhibition of cat lateral superior olive unit excitatory responses to binaural tone bursts. II. The sustained discharges. , 1988, Journal of neurophysiology.

[30]  Don H. Johnson,et al.  Type-based detection for unknown channels , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[31]  M. Abeles,et al.  Multispike train analysis , 1977, Proceedings of the IEEE.

[32]  R. Christopher deCharms,et al.  Primary cortical representation of sounds by the coordination of action-potential timing , 1996, Nature.

[33]  Robert V. Hogg,et al.  Introduction to Mathematical Statistics. , 1966 .

[34]  Marion J. Johnson,et al.  Application of a point process model to responses of cat lateral superior olive units to ipsilateral tones , 1986, Hearing Research.

[35]  D. M. Green,et al.  A panoramic code for sound location by cortical neurons. , 1994, Science.

[36]  Don H. Johnson,et al.  Relation of signal set choice to the performance of optimal non-Gaussian detectors , 1993, IEEE Trans. Commun..