Optimal stimulus coding by neural populations using rate codes

Journal of Computational Neuroscience

Volumn 16, Issue 2, 2004, Pages 129-138

  Johnson, Don H ^a   Ray, Will ^a  

^a Rice University   (United States)

Author keywords

Fisher information; Information theory; Neural coding; Neural populations

Indexed keywords

CODES (SYMBOLS); FISHER INFORMATION MATRIX; NEURAL NETWORKS;

CODING SCHEME; DISCHARGE RATES; FISHER INFORMATION; NEURAL CODING; NEURAL DATA; NEURAL POPULATIONS; POPULATION CODING; RATE CODES; SINGLE NEURON; STATISTIC MODELING;

POPULATION STATISTICS;

ARTICLE; CELL POPULATION; CONTROLLED STUDY; EPILEPTIC DISCHARGE; NERVE CELL MEMBRANE POTENTIAL; PRIORITY JOURNAL; STATISTICAL ANALYSIS; STATISTICAL MODEL; STIMULUS RESPONSE;

EID: 0842324366     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JCNS.0000014106.09948.83     Document Type: Article

References (28)

1. Abbott L, Dayan P (1999) The effect of correlated variability on the accuracy of a population code. Neural Comput. 11: 91-101.
2. Bethge M, Rotermund D, Pawelzik K (2002) Optimal short-term population coding: When Fisher information fails. Neural Comput. 14: 2317-2351.
3. Cramér H (1946) Mathematical Methods of Statistics. Princeton University Press.
4. Dan Y, Alonso J-M, Usrey W, Reid R (1998) Coding of visual information by the precisely correlated spikes in the lateral geniculate nucleus. Nature Neurosci. 1: 501-507.
5. deCharms R, Merzenich M (1996) Primary cortical representation of sounds by the coordination of action-potential timing. Nature 381: 610-613.
6. Gawne T, Richmond B (1993) How independent are the messages carried by adjacent inferior temporal cortical neurons? Neuroscience 13: 2758-2771.
7. Gerstein G, Bedenbaugh P, Aertsen A (1989) Neuronal assemblies. IEEE Trans. Biomed. Engineering 36: 4-14.
8. Holgate P (1964) Estimation for the bivariate Poisson distribution. Biometrika 51: 241-245.
9. Jenison R (2000) Correlated cortical populations can enhance sound localization performance. J. Acoust. Soc. Am. 107: 414-421.
10. Johnson D (1996) Point process models of single-neuron discharges. J. Comp. Neuroscience 3: 275-299.
11. Johnson D (2004) Neural population structures and consequences for neural coding. J. Comp. Neurosci. 16: 69-80.
12. Johnson D, Gruner C, Baggerly K, Seshagiri C (2001) Information-theoretic analysis of neural coding. J. Comp. Neurosci. 10: 47-69.
13. Johnson D, Kiang N (1976) Analysis of discharges recorded simultaneously from pairs of auditory nerve fibers. Biophysical J. 16: 719-734.
14. Lehmann E, Casella G (1998) Theory of Point Estimation, 2nd edn. Springer-Verlag, New York.
15. Miller K, Troyer T (2002) Neural noise can explain expansive, power-law nonlinearities in neural response functions. J. Neurophysiol. 87: 653-659.
16. Nirenberg S, Carcieri S, Jacobs A, Latham P (2001) Retinal ganglion cells act largely as independent encoders. Nature 411: 698-701.
17. Panzeri S, Schultz S, Treves A, Rolls E (1999) Correlations and the encoding of information in the nervous system. Proc. Royal Soc. Lond. 266: 1001-1012.
18. Perkel D, Bullock G (1968) Neuronal coding. Neurosci. Res. Prog. Bull. 6: 221-348.
19. Pola G, Thiele A, Hoffmann K-P, Panzeri S (2003) An exact method to quantify the information transmitted by different mechanisms of correlational coding. Network: Computation in Neural Systems 14: 35-60.
20. Reich D, Mechler F, Victor J (2001) Independent and redundant information in nearby cortical neurons. Science 294: 2566-2568.
21. Seung H, Sompolinsky H (1993) Simple models for reading neuronal population codes. Proc. Natl. Acad. 90: 10749-10753.
22. Shamir M, Sompolinsky H (2001) Correlation codes in neuronal populations. In: Dietterich T, Becker S, Ghahramani Z, eds. Advances in Neural Information Processing Systems, vol. 14, MIT Press, Cambridge, MA, pp. 277-284.
23. Sinanović S, Johnson D (2003) Toward a theory of information processing. In preparation.
24. Sompolinksy H, Yoon H, Kang K, Shamir M (2001) Population coding in neuronal systems with correlated noise. Phys. Rev. E. 64: 051904.
25. Stein R (1967) The information capacity of nerve cells using a frequency code. Biophysical J. 7: 67-82.
26. Wilke S, Eurich C (2002) Representational accuracy of stochastic neural populations. Neural Comput. 14: 155-189.
27. Wu S, Amari S, Nakahara H (2002) Population coding and decoding in a neural field: A computational study. Neural Computation 14: 999-1026.
28. Zohary E, Shadlen M, Newsome W (1994) Correlated neuronal discharge rate and its implications for psychophysical performance. Nature 370: 140-143.