Spiking Neuron Models: An Introduction

By Wulfram Gerstner, Werner M. Kistler. 2002

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Citations in the corpus

Deep learning in neural networks: An overview (2014, neutral): “…(e.g., Amit & Brunel, 1997; Bohte, Kok, & La Poutre, 2002; Brea, Senn, & Pfister, 2013; Brette et al., 2007; Brunel, 2000; Deco & Rolls, 2005; Gerstner & Kistler, 2002; Gerstner & van Hemmen, 1992; Hoerzer, Legenstein, & Maass, 2014; Izhikevich et al., 2003; Kasabov, 2014; Kempter, Gerstner,…”
Reinforcement Learning Through Modulation of Spike-Timing-Dependent Synaptic Plasticity (2007, methodology): “The spike-timing dependence of the potentiation depends on ε and is approximately exponential, as in experimentally observed STDP, since ε models the exponential decay of the postsynaptic potential after a presynaptic spike (for details, see Gerstner & Kistler, 2002).”
Evolving Spiking Networks with Variable Resistive Memories (2014, methodology): “The computational properties of two types of variable RM—memristor and RSM— are analysed when cast as synapses in evolutionary spiking neural networks (SNNs; Gerstner and Kistler, 2002).”
Kickback Cuts Backprop's Red-Tape: Biologically Plausible Credit Assignment in Neural Networks (2014, background): “The fast time-constant limit of the SRM (Gerstner and Kistler 2002) is a node that outputs 1 if 〈w,x〉 > 0 and 0 otherwise.”
Reinforcement Learning, Spike-Time-Dependent Plasticity, and the BCM Rule (2007, methodology): “We begin with the simple leaky integrate-and-fire (LIF) neuronal model (e.g., Gerstner & Kistler, 2002; Koch, 1999).”
Supervised Learning in Spiking Neural Networks with ReSuMe: Sequence Learning, Classification, and Spike Shifting (2010, methodology): “Many supervised learning methods that have been introduced for SNN are restricted to work only with analytically tractable neuron models, such as with a spike response model (Gerstner & Kistler, 2002).”
A Spiking Neural Model for Stable Reinforcement of Synapses Based on Multiple Distal Rewards (2013, methodology): “Fr´emaux et al. used the SRM 0 neuronal model (Gerstner & Kistler, 2002).”
On the Phase Reduction and Response Dynamics of Neural Oscillator Populations (2004, background): “…Wilson and Cowan (1972), Fetz and Gustaffson (1983), Gerstner (2000), Nykamp and Tranchina (2000), Omurtag, Knight, and Sirovich (2000), Herrmann and Gerstner (2001), Casti et al. (2001), Brunel, Chance, Fourcaud, and Abbott (2001), Fourcaud and Brunel (2002), and Gerstner and Kistler (2002).”