Abstract
Information Theory enables different candidate coding strategies to be quantified and compared, and hence is a natural framework for studying neural coding. The main difficulty is that estimates of information from experimental data are prone to systematic sampling error. In this chapter, we present a step-by-step guide to how this error can be addressed, and reliable information estimates obtained.
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References
Borst, A. and Theunissen, F. E. (1999) Information theory and neural coding. Nature Neuroscience 2, 947–957.
Cover, T. M. and Thomas, J. A. (1991) Elements of information theory, Wiley, New York.
Miller, G. A. (1955) Note on the bias on information estimates. Information Theory in Psychology; Problems and Methods II-B, 95–100.
Nemenman, I., Shafee, F. and Bialek, W. (2002) Entropy and Inference, Revisited in Advances in Neural Information Processing Systems 14. Dietterich, T. G., Becker, S. and Z. Ghahramani (Eds.), MIT Press, Cambridge, MA.
Panzeri, S., Petersen, R. S., Schultz, S. R., Lebedev M. and Diamond, M. E. (2001) The role of spike timing in the coding of stimulus location in rat somatosensory cortex. Neuron 29, 769–777.
Panzeri, S. and Treves, A. (1996) Analytical estimates of limited sampling in different information measures. Network 7, 87–107.
Panzeri, S. and Schultz, S. R. (2001) A unified approach to the study of temporal, correlational and rate coding. Neural Comput. 13, 1311–1349.
Panzeri, S., Schultz, S. R., Treves, A. and Rolls, E. T. (1999) Correlations and the encoding of information in the nervous system. Proc. R. Soc. Lond. B Biol Sci. 266, 1001–1012.
Petersen, R. S., Panzeri, S. and Diamond, M. E. (2001) Population coding of stimulus location in rat somatosensory cortex. Neuron 32, 503–514.
Petroni, F. (2002) A computational analysis of the functional role of timing of action potentials in the cerebral cortex. Unpublished doctoral dissertation, University of Newcastle upon Tyne.
Pola, G., Thiele, A., K. -P. Hoffmann and Panzeri, S. (2002) An exact method to quantify the information transmitted by different mechanisms of correlational coding. Network: Special issue on statistical analysis of spike trains and information theory, submitted.
Rieke, F., Warland, D., de Ruyter van Stevenick, R. R. and Bialek, W. (1996) Spikes: Exploring the neural code, MIT Press, Cambridge, MA.
Schultz, S. R. and Panzeri, S. (2001) Temporal correlations and neural spike train entropy. Phys. Rev. Lett. 86, 5823–5826.
Shannon, C. E. (1948) A mathematical theory of communication. AT&T Bell Labs. Tech. J., 27, 379–423.
Strong, S.P., Koberle R., de Ruyter van Stevenink, R.R. and Bialek, W. (1998) Entropy and information in neuronal spike trains. Phys. Rev. Lett. 80,197–200.
Treves, A. and Panzeri, S. (1995) The upward bias in measures of information derived from limited data samples. Neural Comput. 7, 399–407.
Victor, J. D. (2000) Asymptotic bias in information estimates and the exponential (bell) polynomials. Neural Comput. 12, 2797–2804.
Wolpert, D. H. and Wolf, D. R. (1995) Estimating functions of probability distributions from a finite set of samples. Phys. Rev. E, 52, 6841–54.
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Pola, G., Schultz, S.R., Petersen, R.S., Panzeri, S. (2003). A Practical Guide to Information Analysis of Spike Trains. In: Kötter, R. (eds) Neuroscience Databases. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1079-6_10
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DOI: https://doi.org/10.1007/978-1-4615-1079-6_10
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4615-1079-6
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