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An Invariance Principle for Maintaining the Operating Point of a Neuron

An Invariance Principle for Maintaining the Operating Point of a Neuron
An Invariance Principle for Maintaining the Operating Point of a Neuron
Sensory neurons adapt to changes in the natural statistics of their environments through processes such as gain control and firing threshold adjustment. It has been argued that neurons early in sensory pathways adapt according to information-theoretic criteria, perhaps maximising their coding efficiency or information rate. Here, we draw a distinction between how a neuron’s preferred operating point is determined and how its preferred operating point is maintained through adaptation. We propose that a neuron’s preferred operating point can be characterised by the probability density function (PDF) of its output spike rate, and that adaptation maintains an invariant output PDF, regardless of how this output PDF is initially set. Considering a sigmoidal transfer function for simplicity, we derive simple adaptation rules for a neuron with one sensory input that permit adaptation to the lower-order statistics of the input, independent of how the preferred operating point of the neuron is set. Thus, if the preferred operating point is, in fact, set according to information-theoretic criteria, then these rules nonetheless maintain a neuron at that point. Our approach generalises from the unimodal case to the multimodal case, for a neuron with inputs from distinct sensory channels, and we briefly consider this case too.
Neuronal adaptation, operating point, gain control, multisensory integration
213-235
Elliott, Terry
b4262f0d-c295-4ea4-b5d8-3931470952f9
Kuang, Xutao
d0393577-3fa9-4e0e-8b4a-285c03d8c9ec
Shadbolt, Nigel
5c5acdf4-ad42-49b6-81fe-e9db58c2caf7
Zauner, Klaus-Peter
c8b22dbd-10e6-43d8-813b-0766f985cc97
Elliott, Terry
b4262f0d-c295-4ea4-b5d8-3931470952f9
Kuang, Xutao
d0393577-3fa9-4e0e-8b4a-285c03d8c9ec
Shadbolt, Nigel
5c5acdf4-ad42-49b6-81fe-e9db58c2caf7
Zauner, Klaus-Peter
c8b22dbd-10e6-43d8-813b-0766f985cc97

Elliott, Terry, Kuang, Xutao, Shadbolt, Nigel and Zauner, Klaus-Peter (2008) An Invariance Principle for Maintaining the Operating Point of a Neuron. Network: Computation in Neural Systems, 19 (3), 213-235.

Record type: Article

Abstract

Sensory neurons adapt to changes in the natural statistics of their environments through processes such as gain control and firing threshold adjustment. It has been argued that neurons early in sensory pathways adapt according to information-theoretic criteria, perhaps maximising their coding efficiency or information rate. Here, we draw a distinction between how a neuron’s preferred operating point is determined and how its preferred operating point is maintained through adaptation. We propose that a neuron’s preferred operating point can be characterised by the probability density function (PDF) of its output spike rate, and that adaptation maintains an invariant output PDF, regardless of how this output PDF is initially set. Considering a sigmoidal transfer function for simplicity, we derive simple adaptation rules for a neuron with one sensory input that permit adaptation to the lower-order statistics of the input, independent of how the preferred operating point of the neuron is set. Thus, if the preferred operating point is, in fact, set according to information-theoretic criteria, then these rules nonetheless maintain a neuron at that point. Our approach generalises from the unimodal case to the multimodal case, for a neuron with inputs from distinct sensory channels, and we briefly consider this case too.

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Published date: September 2008
Keywords: Neuronal adaptation, operating point, gain control, multisensory integration
Organisations: Web & Internet Science, Agents, Interactions & Complexity

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Local EPrints ID: 267011
URI: http://eprints.soton.ac.uk/id/eprint/267011
PURE UUID: 384a5d15-c658-4a93-ae9a-f467ee43e6c9

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Date deposited: 02 Jan 2009 19:04
Last modified: 02 Dec 2019 21:02

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Contributors

Author: Terry Elliott
Author: Xutao Kuang
Author: Nigel Shadbolt
Author: Klaus-Peter Zauner

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