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Cited by 481

The DOI matches its Crossref record; 54 of the 54 references it cites were found in a registry or an index.

Maximum likelihood estimation of cascade point-process neural encoding models

Paninski, Liam·2004·Network: Computation in Neural Systems

Abstract

Recent work has examined the estimation of models of stimulus-driven neural activity in which some linear filtering process is followed by a nonlinear, probabilistic spiking stage. We analyze the estimation of one such model for which this nonlinear step is implemented by a known parametric function; the assumption that this function is known speeds the estimation process considerably. We investigate the shape of the likelihood function for this type of model, give a simple condition on the nonlinearity ensuring that no non-global local maxima exist in the likelihood-leading, in turn, to efficient algorithms for the computation of the maximum likelihood estimator-and discuss the implications for the form of the allowed nonlinearities. Finally, we note some interesting connections between the likelihood-based estimators and the classical spike-triggered average estimator, discuss some useful extensions of the basic model structure, and provide two novel applications to physiological data.

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Show all 54 references

Research works printed but not linked: 14

  1. Bussgang J, 1952, RLE Tech. Rep., 216
  2. Dayan P, 2001, Theoretical Neuroscience
  3. 10.1016/0047-259X(86)90083-7 · doi:10.1016/0047-259x(86)90083-7
  4. 10.1007/s004220050328 · doi:10.1007/s004220050328
  5. Nykamp D, 2003, Neural Information Processing Systems, 15, 309
  6. Paninski L, 2004, J. Neuroscience
  7. 10.1016/S0925-2312(02)00819-6 · doi:10.1016/s0925-2312(02)00819-6
  8. Paninski L, 2004, Neurocomputing
  9. Paninski L, 2004, Neural Computation
  10. 10.1214/aop/1176995947 · doi:10.1214/aop/1176995947
  11. Sahani M, 2003, Neural Information Processing Systems, 15
  12. Simoncelli E, 2004, The Cognitive Neurosciences3rd edn
  13. Stevens C, 1996, Neural Information Processing Systems, 8, 103
  14. 10.1214/aos/1176325749 · doi:10.1214/aos/1176325749

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Metadata

Authors
Paninski, L.
Venue
Network: Computation in Neural Systems
Published
2004-11-01
Volume
15
Issue
4
Pages
243-262
ISSN
  • 0954-898X (ISSN-L)
  • 1361-6536
OpenAlex
W2112246597
Cited by
481
References
54
FWCI
4.48
Type
journal article
Language
en
Open access
closed

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Paninski, L. (2004). Maximum likelihood estimation of cascade point-process neural encoding models. Network: Computation in Neural Systems. https://doi.org/10.1088/0954-898x/15/4/002

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