Fast maximum likelihood estimation using continuous-time neural point process models

Journal of Computational Neuroscience
Kyle Q Lepage, Christopher J MacDonald

Abstract

A recent report estimates that the number of simultaneously recorded neurons is growing exponentially. A commonly employed statistical paradigm using discrete-time point process models of neural activity involves the computation of a maximum-likelihood estimate. The time to computate this estimate, per neuron, is proportional to the number of bins in a finely spaced discretization of time. By using continuous-time models of neural activity and the optimally efficient Gaussian quadrature, memory requirements and computation times are dramatically decreased in the commonly encountered situation where the number of parameters p is much less than the number of time-bins n. In this regime, with q equal to the quadrature order, memory requirements are decreased from O(np) to O(qp), and the number of floating-point operations are decreased from O(np(2)) to O(qp(2)). Accuracy of the proposed estimates is assessed based upon physiological consideration, error bounds, and mathematical results describing the relation between numerical integration error and numerical error affecting both parameter estimates and the observed Fisher information. A check is provided which is used to adapt the order of numerical integration. The procedure is v...Continue Reading

References

Jan 1, 1975·Biological cybernetics·G Gestri, P Piram
Jan 23, 2002·Neural Computation·Emery N BrownLoren M Frank
Mar 5, 2003·Network : Computation in Neural Systems·Robert E KassCan Cai
Mar 10, 2004·Neural Computation·Riccardo BarbieriEmery N Brown
Dec 17, 2004·Network : Computation in Neural Systems·Liam Paninski
Jul 7, 2005·Behavioral Neuroscience·Raymond P KesnerPaul E Gilbert
Aug 4, 2009·Journal of Computational Neuroscience·Liam PaninskiWei Wu
Jan 29, 2011·Nature Neuroscience·Ian H Stevenson, Konrad P Kording
Aug 27, 2011·Neuron·Christopher J MacDonaldHoward Eichenbaum
Jan 28, 2012·Journal of Neuroscience Methods·Kyle Q LepageUri T Eden
Nov 21, 2012·Journal of Neuroscience Methods·Kyle Q LepageRobert Desimone
Jul 9, 2013·Journal of Computational Neuroscience·Alexandro D Ramirez, Liam Paninski
Nov 12, 2013·Neural Computation·Luca CitiRiccardo Barbieri
Sep 24, 2014·Neural Computation·Gonzalo Mena, Liam Paninski

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Citations

Oct 23, 2018·PLoS Computational Biology·Braden A W BrinkmanMichael A Buice
Sep 26, 2020·Molecular Systems Biology·Romain LopezNir Yosef

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