2020
DOI: 10.1016/j.neunet.2019.09.026
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On the accuracy and computational cost of spiking neuron implementation

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Cited by 19 publications
(31 citation statements)
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“…Depending on the numerical method and SN, the accuracy increases monotonically as the step size reduces [61,81,34,72,29]. This is consistent with the theory of numerical methods where the solution provided by a convergent method approximates the exact solution as the step size tends to zero [26,10,24,20,25].…”
Section: Introductionsupporting
confidence: 82%
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“…Depending on the numerical method and SN, the accuracy increases monotonically as the step size reduces [61,81,34,72,29]. This is consistent with the theory of numerical methods where the solution provided by a convergent method approximates the exact solution as the step size tends to zero [26,10,24,20,25].…”
Section: Introductionsupporting
confidence: 82%
“…As opposed to other bi-dimensional models (e.g., the quartic [78] or the adaptive exponential [7]), the IZH adaptation variable blows up without a threshold value [77]. This makes the model sensitive to threshold values and, as a consequence, the step size must be small to avoid an alteration in the system dynamics [77,79].This agrees with practical works where a high-order numerical method and a small step were necessary to obtain an accurate implementation [35,72,81]. Figure 1 (middle) depicts the considerable lag generated by the IZH as the simulation window increases.…”
Section: Introductionsupporting
confidence: 75%
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