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Published in: Journal of Computational Neuroscience 3/2018

08-10-2018

Linear-nonlinear-time-warp-poisson models of neural activity

Authors: Patrick N. Lawlor, Matthew G. Perich, Lee E. Miller, Konrad P. Kording

Published in: Journal of Computational Neuroscience | Issue 3/2018

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Abstract

Prominent models of spike trains assume only one source of variability – stochastic (Poisson) spiking – when stimuli and behavior are fixed. However, spike trains may also reflect variability due to internal processes such as planning. For example, we can plan a movement at one point in time and execute it at some arbitrary later time. Neurons involved in planning may thus share an underlying time course that is not precisely locked to the actual movement. Here we combine the standard Linear-Nonlinear-Poisson (LNP) model with Dynamic Time Warping (DTW) to account for shared temporal variability. When applied to recordings from macaque premotor cortex, we find that time warping considerably improves predictions of neural activity. We suggest that such temporal variability is a widespread phenomenon in the brain which should be modeled.

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Appendix
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Literature
go back to reference Berndt, D., & Clifford, J. (1994). Using dynamic time warping to find patterns in time series. Workshop on Knowledge Knowledge Discovery in Databases, 398, 359–370. Berndt, D., & Clifford, J. (1994). Using dynamic time warping to find patterns in time series. Workshop on Knowledge Knowledge Discovery in Databases, 398, 359–370.
go back to reference Crammond, D.J., & Kalaska, J.F. (2000). Prior information in motor and premotor cortex: activity during the delay period and effect on pre-movement activity. Journal of Neurophysiology, 84(2), 986–1005.PubMedCrossRef Crammond, D.J., & Kalaska, J.F. (2000). Prior information in motor and premotor cortex: activity during the delay period and effect on pre-movement activity. Journal of Neurophysiology, 84(2), 986–1005.PubMedCrossRef
go back to reference Dempster, A.P., Laird, N.M., Rubin, D.B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society. Series B (Methodological), 38, 1–38.CrossRef Dempster, A.P., Laird, N.M., Rubin, D.B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society. Series B (Methodological), 38, 1–38.CrossRef
go back to reference Hubel, D.H., & Wiesel, T.N. (1962). Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex. The Journal of Physiology, 160, 106–154.PubMedPubMedCentralCrossRef Hubel, D.H., & Wiesel, T.N. (1962). Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex. The Journal of Physiology, 160, 106–154.PubMedPubMedCentralCrossRef
go back to reference Kisley, M.A., & Gerstein, G.L. (1999). Trial-to-trial variability and state-dependent modulation of auditory-evoked responses in cortex. Journal of Neuroscience, 19(23), 10,451–10,460.CrossRef Kisley, M.A., & Gerstein, G.L. (1999). Trial-to-trial variability and state-dependent modulation of auditory-evoked responses in cortex. Journal of Neuroscience, 19(23), 10,451–10,460.CrossRef
go back to reference Nelder, J.A., & Baker, R.J. (1972). Generalized linear models. Encyclopedia of Statistical Sciences. Nelder, J.A., & Baker, R.J. (1972). Generalized linear models. Encyclopedia of Statistical Sciences.
go back to reference Nordstrom, M., Fuglevand, A., Enoka, R. (1992). Estimating the strength of common input to human motoneurons from the cross-correlogram. The Journal of Physiology, 453, 547–574.PubMedPubMedCentralCrossRef Nordstrom, M., Fuglevand, A., Enoka, R. (1992). Estimating the strength of common input to human motoneurons from the cross-correlogram. The Journal of Physiology, 453, 547–574.PubMedPubMedCentralCrossRef
go back to reference Okun, M., Steinmetz, N.A., Cossell, L., Iacaruso, M.F., Ko, H., Barthó, P., Moore, T., Hofer, S.B., Mrsic-Flogel, T.D., Carandini, M., Harris, K.D. (2015). Diverse coupling of neurons to populations in sensory cortex. Nature. https://doi.org/10.1038/nature14273. Okun, M., Steinmetz, N.A., Cossell, L., Iacaruso, M.F., Ko, H., Barthó, P., Moore, T., Hofer, S.B., Mrsic-Flogel, T.D., Carandini, M., Harris, K.D. (2015). Diverse coupling of neurons to populations in sensory cortex. Nature. https://​doi.​org/​10.​1038/​nature14273.
go back to reference Pfau, D., Pnevmatikakis, E.A., Paninski, L. (2013). Robust learning of low-dimensional dynamics from large neural ensembles. In Burges, C.J.C., Bottou, L., Welling, M., Ghahramani, Z., Weinberger, K.Q. (Eds.) Advances in neural information processing systems (Vol. 26, pp. 2391–2399). Red Hook: Curran Associates, Inc. Pfau, D., Pnevmatikakis, E.A., Paninski, L. (2013). Robust learning of low-dimensional dynamics from large neural ensembles. In Burges, C.J.C., Bottou, L., Welling, M., Ghahramani, Z., Weinberger, K.Q. (Eds.) Advances in neural information processing systems (Vol. 26, pp. 2391–2399). Red Hook: Curran Associates, Inc.
go back to reference Reich, D.S., Victor, J.D., Knight, B.W., Ozaki, T., Kaplan, E. (1997). Response variability and timing precision of neuronal spike trains in vivo. Journal of Neurophysiology, 77(5), 2836–2841.PubMedCrossRef Reich, D.S., Victor, J.D., Knight, B.W., Ozaki, T., Kaplan, E. (1997). Response variability and timing precision of neuronal spike trains in vivo. Journal of Neurophysiology, 77(5), 2836–2841.PubMedCrossRef
go back to reference Ventura, V., Cai, C., Kass, R.E. (2005). Trial-to-trial variability and its effect on time-varying dependency between two neurons. Journal of Neurophysiology, 94(4), 2928–2939.PubMedCrossRef Ventura, V., Cai, C., Kass, R.E. (2005). Trial-to-trial variability and its effect on time-varying dependency between two neurons. Journal of Neurophysiology, 94(4), 2928–2939.PubMedCrossRef
go back to reference Victor, J.D., & Purpura, K.P. (1996). Nature and precision of temporal coding in visual cortex: a metric-space analysis. Journal of Neurophysiology, 76(2), 1310–1326.PubMedCrossRef Victor, J.D., & Purpura, K.P. (1996). Nature and precision of temporal coding in visual cortex: a metric-space analysis. Journal of Neurophysiology, 76(2), 1310–1326.PubMedCrossRef
go back to reference Wurtz, R.H. (1969a). Comparison of effects of eye movements and stimulus movements on striate cortex neurons of the monkey. Journal of Neurophysiology, 32(98), 994–994. Wurtz, R.H. (1969a). Comparison of effects of eye movements and stimulus movements on striate cortex neurons of the monkey. Journal of Neurophysiology, 32(98), 994–994.
go back to reference Wurtz, R.H. (1969b). Visual receptive fields of striate cortex neurons in awake monkeys. Journal of Neurophysiology, 32(5), 727– 742. Wurtz, R.H. (1969b). Visual receptive fields of striate cortex neurons in awake monkeys. Journal of Neurophysiology, 32(5), 727– 742.
Metadata
Title
Linear-nonlinear-time-warp-poisson models of neural activity
Authors
Patrick N. Lawlor
Matthew G. Perich
Lee E. Miller
Konrad P. Kording
Publication date
08-10-2018
Publisher
Springer US
Published in
Journal of Computational Neuroscience / Issue 3/2018
Print ISSN: 0929-5313
Electronic ISSN: 1573-6873
DOI
https://doi.org/10.1007/s10827-018-0696-6

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