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Unbiased measures of transmitted information and channel capacity from multivariate neuronal data

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Abstract

Two measures from information theory, transmitted information and channel capacity, can quantify the ability of neurons to convey stimulus-dependent information. These measures are calculated using probability functions estimated from stimulus-response data. However, these estimates are biased by response quantization, noise, and small sample sizes. Improved estimators are developed in this paper that depend on both an estimate of the sample-size bias and the noise in the data.

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References

  • Abramson N (1963) Information theory and coding. McGraw-Hill, New York

    Google Scholar 

  • Bevington PR (1969) Data reduction and error analysis for the physical sciences. McGraw-Hill, New York

    Google Scholar 

  • Blahut RE (1972) Computation of channel capacity and rate-distortion functions. IEEE Trans Inf Theory IT-18:460–473

    Google Scholar 

  • Blahut RE (1987) Principles and practice of information theory. Addison-Wesley, Reading, Mass

    Google Scholar 

  • Carlton AG (1969) On the bias of information estimates. Psychol Bull 71:108–109

    Google Scholar 

  • Cattaneo A, Maffei L, Morrone C (1981) Patterns in the discharge of simple and complex visual cortical cells. Proc R Soc London B 212:279–297

    Google Scholar 

  • Crowe A, de Ruiter T, Blaauw M, Oosthoek B (1988) Information transmission in non-visual fingertip matching along a horizontal track in the median plane. Biol Cybern 58:141–148

    Google Scholar 

  • Eckhorn R, Grüsser O-J, Kröller J, Pellnitz K, Pöpel B (1976) Efficiency of different neural codes: information transfer calculations for three different neuronal systems. Biol Cybern 22:49–60

    Google Scholar 

  • Eckhorn R, Pöpel B (1974) Rigorous and extended application of information theory to the afferent visual system of the cat. I. basic concepts. Kybernetik 16:191–200

    Google Scholar 

  • Efron B (1982) The jackknife, the bootstrap and other resampling plans. SIAM Monograph. vol 38. CBMS-NSF. SIAM Philadelphia

    Google Scholar 

  • Fagen RM (1978) Information measures: statistical confidence limits and inference. J Theor Biol 73:61–79

    Google Scholar 

  • Fukunaga K (1972) Introduction to statistical pattern recognition. Academic Press, New York

    Google Scholar 

  • Fuller MS, Looft SJ (1984) Information-theoretic analysis of cutaneous receptor responses. IEEE Trans Biomed Eng BME-31:377–383

    Google Scholar 

  • Guttman I, Wilks SS, Hunter JS (1971) Introductory engineering statistics. Wiley, New York

    Google Scholar 

  • Macrae AW (1971) On calculating unbiased information measures. Psychol Bull 75:270–277

    Google Scholar 

  • Miller GA (1955) Note on the bias of information estimates. Inf Theory Psychol Probl Methods II-B:95–100

    Google Scholar 

  • Optican LM, Richmond BJ (1987) Temporal encoding of two-dimensional patterns by single units in primate inferior temporal cortex. III. Information theoretic analysis. J Neurophysiol 57:162–178

    Google Scholar 

  • Richmond BJ, Optican LM (1987) Temporal encoding of two-dimensional patterns by single units in primate inferior temporal cortex: II. Quantification of response waveform. J Neurophysiol 57:147–161

    Google Scholar 

  • Richmond BJ, Optican LM (1990) Temporal encoding of two-dimensional patterns by single units in primate primary visual cortex. II. Information transmission. J Neurophysiol 64:370–380

    Google Scholar 

  • Richmond BJ, Optican LM, Spitzer H (1990) Temporal encoding of two-dimensional patterns by single units in primate primary visual cortex. I. Stimulus-response relations. J Neurophysiol 64:351–369

    Google Scholar 

  • Sakitt B (1980) Visual-motor efficiency (VME) and the information transmitted in visual-motor tasks. Bull Psychonom Soc 16:329–332

    Google Scholar 

  • Sakitt B, Francis L, Zeffiro TA (1983) The information transmitted at final position in visually triggered forearm movements. Biol Cybern 46:111–118

    Google Scholar 

  • Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–423

    Google Scholar 

  • Silverman BW (1986) Density estimation for statistics and data analysis. Chapman and Hall, London

    Google Scholar 

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This work was supported in part by Air Force Office of Scientific Research Grant AFOSR-ISSA-88-0073

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Optican, L.M., Gawne, T.J., Richmond, B.J. et al. Unbiased measures of transmitted information and channel capacity from multivariate neuronal data. Biol. Cybern. 65, 305–310 (1991). https://doi.org/10.1007/BF00216963

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  • DOI: https://doi.org/10.1007/BF00216963

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