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Neural Computation

Neural Computation

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Continuous-Time Neural Networks Can Stably Memorize Random Spike Trains
Hugo AguettazHans-Andrea Loeliger
Keywords:Neural NetworkSpike TrainsRandom SpikesRandom Spike TrainsNeural CircuitsNumerical ExperimentsRecurrent NetworkTemporal StabilitySynaptic WeightsArtificial Neural NetworkResting-stateLocal MaximaPrecision And RecallFiring RateNeuron ModelPoisson ProcessSimulated NetworksGibbs SamplingSpiking Neural NetworksTransmission DelayBiological Neural NetworksFiring TimeTick MarksJoint Probability Density FunctionRefractory PeriodNumber Of FiresFactor GraphSpike TimesNeuromorphic HardwareSpectral Radius
Abstracts:This letter explores the capability of continuous-time recurrent neural networks to store and recall precisely timed scores of spike trains. We show (by numerical experiments) that this is indeed possible: within some range of parameters, any random score of spike trains (for all neurons in the network) can be robustly memorized and autonomously reproduced with stable accurate relative timing of all spikes, with probability close to one. We also demonstrate associative recall under noisy conditions. In these experiments, the required synaptic weights are computed offline to satisfy a template that encourages temporal stability.
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