2021
DOI: 10.48550/arxiv.2109.07416
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Mapping Input Noise to Escape Noise in Integrate-and-fire neurons: A Level-Crossing Approach

Abstract: Noise in spiking neurons is commonly modeled by a noisy input current or by generating output spikes stochastically with a voltage-dependent hazard rate ("escape noise"). While input noise lends itself to modeling biophysical noise processes, the phenomenological escape noise is mathematically more tractable. Using the level-crossing theory for differentiable Gaussian processes, we derive an approximate mapping between colored input noise and escape noise in leaky integrate-and-fire neurons. This mapping requi… Show more

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