76
Views
21
CrossRef citations to date
0
Altmetric
Original

Inferring the capacity of the vector Poisson channel with a Bernoulli model

&
Pages 13-33 | Received 13 Oct 2006, Accepted 31 Aug 2007, Published online: 09 Jul 2009

References

  • Andersen RA, Musallam S, Pesaran B. Selecting the signals for a brain-machine interface. Current Opinion in Neurobiology 2004; 14: 1–7
  • Berger T. Rate distortion theory. Prentice-Hall, Englewood Cliffs, NJ 1971
  • Bialek W, DeWeese M, Rieke F, Warlan D. Bits and brains: Information flow in the nervous system. Physica A 1993; 200: 581–593
  • Brémaud P. Point processes and queues. Springer-Verlag, New York 1981
  • Cover TM, Thomas JA. Elements of information theory2nd. Wiley, New York 2006
  • Daley DJ, Vere-Jones D. An introduction to the theory of point processes. Springer-Verlag, New York 1988
  • Davis MHA. Capacity and cutoff rate for Poisson-type channels. IEEE Transactions on Information Theory 1980; 26: 710–715
  • Goodman IN. Analyzing statistical dependencies in neural populations. Master's thesis, Dept. Electrical & Computer Engineering, Rice University, Houston, Texas 2004
  • Holgate P. Estimation for the bivariate Poisson distribution. Biometrika 1964; 51: 241–245
  • Johnson DH. The capacity of non-Poisson channels. 2007, In preparation
  • Johnson DH. Point process models of single-neuron discharges. Journal of Computational Neuroscience 1996; 3: 275–299
  • Johnson DH, Goodman IN. Jointly Poisson processes. 2007, In preparation
  • Johnson DH, Gruner CM, Baggerly K, Seshagiri C. Information-theoretic analysis of neural coding. Journal of Computational Neuroscience 2001; 10: 47–69
  • Kabanov YM. The capacity of a channel of the Poisson type. Theory of Probability and its Applications 1978; 23: 143–147
  • Rieke F, Warland D, Bialek W. Coding efficiency and information rates in sensory neurons. Europhysics Letters 1993; 22: 151–156
  • Rieke F, Warland D, de Ruyter van Steveninck R, Bialek W. Spikes: Exploring the neural code. MIT Press, CambridgeMassachusetts 1999
  • Schneidman E, Slomin N, Tishby N, de Ruyter van Stevenick RR, Bialek W. Analyzing neural codes using the information bottleneck method. Advances in neural information processing systems, TG Dietterich, S Becker, Z Ghahramani. MIT Press, Cambridge, MA 2001; 14
  • Shamai (Shitz) S, Verdú S. Empirical distribution for good codes. IEEE Trans. Info. Th. 1977; 43: 836–846
  • Shannon CE. A mathematical theory of communication. Bell System Technical Journal 1948; 27: 379–423, 623–656
  • Snyder DL. Random point processes. Wiley, New York 1998
  • Strong SP, Koberle R, de Ruyter van Steveninck RR, Bialek W. Entropy and information in neural spike trains. Physical Review Letters 1998; 80: 197–200

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.