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A generator is a function returning sound histories from input histories, which is a much more complicated object than a single sound history, a sample.
Given the fact that time history signals recorded at a given site constitute a random process which is practically impossible to reproduce, considerable effort has been expended in recent years on processing actual records so as to become 'representative' of future input histories to existing as well as planned construction in earthquake-prone regions.
The adoption of linear models guarantees that the presented results also hold if the input histories include fluctuating currents ("frozen noise"), as long as they are equal among different input histories.
Another important difference between oscillating and non-oscillating neurons regards the sensitivity to small differences in the input histories.
The discriminability between two input histories aims at measuring the difference in the corresponding evolutions of the HDE.
This means that for certain input histories and neuron parameters, the instantaneous discriminability can reach its maximum a few u.t. after the last spike of the input train (Fig. 1A).
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The hidden state is a function of the entire input history.
From the perspective of dynamic system theory, these states of hidden neuron nodes serve as a memory of the input audio feature and are termed as echoes of the input history.
Indeed, a neuron model with a multiple time-scale current efficiently encodes input history over several time-scales [55].
Studies on these models, however, have focused mainly on responses against input streams, with the aim of analyzing temporal information processing on the basis of the input history.
Systems whose output depends not only on the current inputs but the input history are necessary for sophisticated computation and information storage.
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Justyna Jupowicz-Kozak
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