Correlation-distortion based identification of Linear-Nonlinear-Poisson models

Journal of Computational Neuroscience

Volumn 29, Issue 1-2, 2010, Pages 301-308

  Krumin, Michael ^a   Shimron, Avner ^a   Shoham, Shy ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Auto regressive model; Correlation function; Neural population; Point process; Receptive field; System identification

Indexed keywords

ENCODING (SYMBOLS); IDENTIFICATION (CONTROL SYSTEMS); LINEAR TRANSFORMATIONS; NEURAL NETWORKS; NEURONS; SIGNAL ENCODING;

AUTOREGRESSIVE MODELLING; CORRELATION FUNCTION; ENCODINGS; MINIMUM PHASE; NEURAL POPULATIONS; POINT PROCESS; POISSON MODEL; RECEPTIVE FIELDS; STIMULUS RESPONSE; SYSTEM-IDENTIFICATION;

MAXIMUM LIKELIHOOD;

ARTICLE; CONTROLLED STUDY; KERNEL METHOD; LINEAR NONLINEAR POISSON MODEL; MAXIMUM LIKELIHOOD METHOD; MOTONEURON; NERVE CELL MEMBRANE POTENTIAL; NORMAL DISTRIBUTION; PARAMETRIC TEST; PRIORITY JOURNAL; SENSORY NERVE CELL; STATISTICAL ANALYSIS; STATISTICAL MODEL; STIMULUS RESPONSE;

EID: 77956916965     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-009-0184-0     Document Type: Article

References (28)

1. E Adelson J Bergen 1985 Spatiotemporal energy models for the perception of motion Journal of the Optical Society of America A 2 2 284 289 1:STN:280:DyaL2M7jsVShtQ%3D%3D 10.1364/JOSAA.2.000284
2. GD Brown S Yamada TJ Sejnowski 2001 Independent component analysis at the neural cocktail party Trends in Neurosciences 24 1 54 63 1:CAS:528: DC%2BD3MXktl2qsw%3D%3D 10.1016/S0166-2236(00)01683-0 11163888 (Pubitemid 32332897)
3. Dayan, P. & Abbot, L. F. (2001). Theoretical neuroscience: Computational and mathematical modeling of neural systems. Cambridge: MIT.
4. JD Dorn DL Ringach 2003 Estimating membrane voltage correlations from extracellular spike trains Journal of Neurophysiology 89 4 2271 2278 10.1152/jn.000889.2002 12686584 (Pubitemid 36444279)
5. Farah, N., Reutsky, I., & Shoham, S. (2007). Patterned optical activation of retinal ganglion cells. Proc. Engineering in Medicine and Biology Society, 2007. EMBS 2007. 29th Annual International Conference of the IEEE.
6. F Gabbiani HG Krapp C Koch G Laurent 2002 Multiplicative computation in a visual neuron sensitive to looming Nature 420 6913 320 324 1:CAS:528: DC%2BD38XovVektLo%3D 10.1038/nature01190 12447440 (Pubitemid 35398187)
7. GE Johnson 1994 Construction of particular random processes Proceedings of the IEEE 82 2 270 285 10.1109/5.265353
8. M Krumin S Shoham 2009 Generation of spike trains with controlled auto- and cross-correlation functions Neural Computation 21 6 1642 1664 10.1162/neco.2009.08-08-847 19191596
9. M Laubach M Shuler MAL Nicolelis 1999 Independent component analyses for quantifying neuronal ensemble interactions Journal of Neuroscience Methods 94 1 141 154 1:STN:280:DC%2BD3c7gt1emuw%3D%3D 10.1016/S0165-0270(99)00131-4 10638821
10. Ljung, L. (1999). System identification-theory for the user (2nd ed.). Englewood Cliffs: Prentice Hall PTR.
11. JH Macke P Berens AS Ecker AS Tolias M Bethge 2009 Generating spike trains with specified correlation coefficients Neural Computation 21 2 397 423 10.1162/neco.2008.02-08-713 19196233
12. J Makhoul 1975 Linear prediction: a tutorial review Proceedings of the IEEE 63 4 561 580 10.1109/PROC.1975.9792
13. DQ Nykamp DL Ringach 2002 Full identification of a linear-nonlinear system via cross-correlation analysis Journal of Vision 2 1 1 11 10.1167/2.1.1 12678593
14. L Paninski S Shoham MR Fellows NG Hatsopoulos JP Donoghue 2004 Superlinear population encoding of dynamic hand trajectory in primary motor cortex Journal of Neuroscience 24 39 8551 8561 1:CAS:528:DC%2BD2cXosVOjt7o%3D 10.1523/JNEUROSCI.0919-04.2004 15456829 (Pubitemid 39313778)
15. Paninski, L., Pillow, J., & Lewi, J. (2007). Statistical models for neural encoding, decoding, and optimal stimulus design. Progress in brain research (Vol. 165, pp. 493-507). The Netherlands: Elsevier.
16. JW Pillow J Shlens L Paninski A Sher AM Litke EJ Chichilnisky EP Simoncelli 2008 Spatio-temporal correlations and visual signalling in a complete neuronal population Nature 454 7207 995 999 1:CAS:528:DC%2BD1cXhtVWnsrbK 10.1038/nature07140 18650810
17. DL Ringach 2004 Mapping receptive fields in primary visual cortex Journal of Physiology 558 3 717 728 1:CAS:528:DC%2BD2cXntFert7s%3D 10.1113/jphysiol. 2004.065771 15155794 (Pubitemid 39206256)
18. D Ringach R Shapley 2004 Reverse correlation in neurophysiology Cognitive Science 28 2 147 166 10.1207/s15516709cog2802-2
19. NC Rust V Mante EP Simoncelli JA Movshon 2006 How MT cells analyze the motion of visual patterns Nature Neuroscience 9 11 1421 1431 1:CAS:528:DC%2BD28XhtFaksrbJ 10.1038/nn1786 17041595 (Pubitemid 44646215)
20. O Schwartz JW Pillow NC Rust EP Simoncelli 2006 Spike-triggered neural characterization Journal of Vision 6 4 484 507 10.1167/6.4.13 16889482 (Pubitemid 44130367)
21. S Shoham DH O'Connor DV Sarkisov SSH Wang 2005a Rapid neurotransmitter uncaging in spatially defined patterns Nature Methods 2 11 837 843 1:CAS:528:DC%2BD2MXhtFyrtbzM 10.1038/nmeth793 (Pubitemid 41741534)
22. S Shoham LM Paninski MR Fellows NG Hatsopoulos JP Donoghue RA Normann 2005b Statistical encoding model for a primary motor cortical brain-machine interface IEEE Transactions on Biomedical Engineering 52 7 1312 1322 10.1109/TBME.2005.847542 (Pubitemid 40965526)
23. Simon, B. (1974). The P()2 euclidian (Quantum) field theory (pp. 9-11). Princeton: Princeton University Press.
24. Tchumatchenko, T., Malyshev, A., Geisel, T., Volgushev, M., & Wolf, F. (2008). Correlations and synchrony in threshold neuron models. arXiv:0810.2901v2 [q-bio.NC]. http://arxiv.org/abs/0810.2901. Accessed on December 2008.
25. JD Victor 1989 Temporal impulse responses from flicker sensitivities: causality, linearity, and amplitude data do not determine phase Journal of the Optical Society of America A 6 9 1302 1303 1:STN:280:DyaK3c%2FhtFClug%3D%3D 10.1364/JOSAA.6.001302
26. MCK Wu SV David JL Gallant 2006 Complete functional characterization of sensory neurons by system identification Annual Review of Neuroscience 29 1 477 505 1:CAS:528:DC%2BD28XosVeit78%3D 10.1146/annurev.neuro.29.051605.113024 16776594 (Pubitemid 44478847)
27. Y Yu TS Lee 2005 Adaptive contrast gain control and information maximization Neurocomputing 65-66 111 116 10.1016/j.neucom.2004.10.062 (Pubitemid 40613554)
28. Y Yu B Potetz TS Lee 2005 The role of spiking nonlinearity in contrast gain control and information transmission Vision Research 45 5 583 592 10.1016/j.visres.2004.09.024 15621176 (Pubitemid 40037969)