dorsal/arxiv
View SchemaOn Optimality in Auditory Information Processing
| Authors | M. F. Karlsson, J. W. C. Robinson |
|---|---|
| Categories | |
| ArXiv ID | physics/0010041 |
| URL | https://arxiv.org/abs/physics/0010041 |
Abstract
We study limits for the detection and estimation of weak sinusoidal signals in the primary part of the mammalian auditory system using a stochastic Fitzhugh-Nagumo (FHN) model and an action-reaction model for synaptic plasticity. Our overall model covers the chain from a hair cell to a point just after the synaptic connection with a cell in the cochlear nucleus. The information processing performance of the system is evaluated using so called phi-divergences from statistics which quantify a dissimilarity between probability measures and are intimately related to a number of fundamental limits in statistics and information theory (IT). We show that there exists a set of parameters that can optimize several important phi-divergences simultaneously and that this set corresponds to a constant quiescent firing rate (QFR) of the spiral ganglion neuron. The optimal value of the QFR is frequency dependent but is essentially independent of the amplitude of the signal (for small amplitudes). Consequently, optimal processing according to several standard IT criteria can be accomplished for this model if and only if the parameters are ``tuned'' to values that correspond to one and the same QFR. This offers a new explanation for the QFR and can provide new insight into the role played by several other parameters of the peripheral auditory system.
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"abstract": "We study limits for the detection and estimation of weak sinusoidal signals\nin the primary part of the mammalian auditory system using a stochastic\nFitzhugh-Nagumo (FHN) model and an action-reaction model for synaptic\nplasticity. Our overall model covers the chain from a hair cell to a point just\nafter the synaptic connection with a cell in the cochlear nucleus. The\ninformation processing performance of the system is evaluated using so called\nphi-divergences from statistics which quantify a dissimilarity between\nprobability measures and are intimately related to a number of fundamental\nlimits in statistics and information theory (IT). We show that there exists a\nset of parameters that can optimize several important phi-divergences\nsimultaneously and that this set corresponds to a constant quiescent firing\nrate (QFR) of the spiral ganglion neuron. The optimal value of the QFR is\nfrequency dependent but is essentially independent of the amplitude of the\nsignal (for small amplitudes). Consequently, optimal processing according to\nseveral standard IT criteria can be accomplished for this model if and only if\nthe parameters are ``tuned\u0027\u0027 to values that correspond to one and the same QFR.\nThis offers a new explanation for the QFR and can provide new insight into the\nrole played by several other parameters of the peripheral auditory system.",
"arxiv_id": "physics/0010041",
"authors": [
"M. F. Karlsson",
"J. W. C. Robinson"
],
"categories": [
"physics.bio-ph",
"q-bio"
],
"title": "On Optimality in Auditory Information Processing",
"url": "https://arxiv.org/abs/physics/0010041"
},
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