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We introduce a nonlinear modification of the classical Hawkes process, which allows inhibitory couplings between units without restrictions.
Point spectra of some mutually exciting point processes
Alan G. Hawkes · 1971
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Spectra of some self-exciting and mutually exciting point processes
Alan G. Hawkes · 1971
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Internal set theory: a new approach to nonstandard analysis
Edward Nelson · 1977
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System identification based on point processes and correlation densities. I: The nonrefractory neuron model
Henk van den Boogaard, Gerard Hesselmans, and Peter Johannesma · 1986
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Radically elementary probability theory
Edward Nelson · 1987
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System identification based on point processes and correlation densities. II: The refractory neuron model
Henk van den Boogaard · 1988
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A neural theory of binocular rivalry
Randolph Blake · 1989
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Stefan Rotter · 1994
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Amplification of trial-to-trial response variability by neurons in visual cortex
Matteo Carandini · 2004
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Maximum likelihood estimation of cascade point-process neural encoding models
Liam Paninski · 2004
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A point process framework for relating neural spiking activity to spiking history, neural ensemble, and extrinsic covariate effects
Wilson Truccolo, Uri T. Eden, Matthew R. Fellows, John P. Donoghue, and Emery D. Brown · 2005
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Spike-frequency adapting neural ensembles: Beyond mean adaptation and renewal theories
Eilif Muller, Lars Buesing, Johannes Schemmel, and Karlheinz Meier · 2007
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Correlations and population dynamics in cortical networks
Birgit Kriener, Tom Tetzlaff, Ad Aertsen, Markus Diesmann, and Stefan Rotter · 2008
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Alain Destexhe, Michael Rudolph, and Denis Pare · 2003
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An elementary approach to stochastic differential equations using the infinitesimals
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Spatio-temporal correlations and visual signalling in a complete neuronal population
Jonathan W. Pillow, Jonathon Shlens, Liam Paninski, Alexander Sher, Alan M. Litke, E. J. Chichilnisky, and Eero P. Simoncelli · 2008
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Mean-Field Approximations for Coupled Populations of Generalized Linear Model Spiking Neurons with Markov Refractoriness
Taro Toyoizumi, Kamiar Rahnama Rad, and Liam Paninski · 2009
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