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Spike-triggered average : ウィキペディア英語版
Spike-triggered average
The Spike-triggered average (STA) is a tool for characterizing the response properties of a neuron using the spikes emitted in response to a time-varying stimulus. The STA provides an estimate of a neuron's linear receptive field. It is a useful technique for the analysis of electrophysiological data.
Mathematically, the STA is the average stimulus preceding a spike.〔de Boer and Kuyper (1968) Triggered Correlation. ''IEEE Transact. Biomed. Eng.'', 15:169-179〕〔Marmarelis, P. Z. and Naka, K. (1972). White-noise analysis of a neuron chain: an application of the Wiener theory. ''Science'', 175:1276-1278〕〔Chichilnisky, E. J. (2001). A simple white noise analysis of neuronal light responses. ''Network: Computation in Neural Systems'', 12:199-213〕〔Simoncelli, E. P., Paninski, L., Pillow, J. & Swartz, O. (2004). ("Characterization of neural responses with stochastic stimuli" ). In M. Gazzaniga (Ed.) ''The Cognitive Neurosciences, III'' (pp. 327-338). MIT press.〕 To compute the STA, the stimulus in the time window preceding each spike is extracted, and the resulting (spike-triggered) stimuli are averaged (see diagram). The STA provides an unbiased estimate of a neuron's receptive field only if the stimulus distribution is spherically symmetric (e.g., Gaussian white noise).〔〔Paninski, L. (2003). Convergence properties of some spike-triggered analysis techniques. ''Network: Computation in Neural Systems'' 14:437-464〕〔Sharpee, T.O., Rust, N.C., & Bialek, W. (2004). Analyzing neural responses to natural signals: Maximally informative dimensions. ''Neural Computation'' 16:223-250〕
The STA has been used to characterize retinal ganglion cells,〔Sakai and Naka (1987).〕〔Meister, Pine, and Baylor (1994).〕 neurons in the lateral geniculate nucleus and simple cells in the striate cortex (V1) .〔Jones and Palmer (1987).〕〔McLean and Palmer (1989).〕 It can be used to estimate the linear stage of the linear-nonlinear-Poisson (LNP) cascade model.〔
Spike-triggered averaging is also commonly referred to as “reverse correlation″ or “white-noise analysis”. The STA is well known as the first term in the Volterra kernel or Wiener kernel series expansion.〔Lee and Schetzen (1965). Measurement of the Wiener kernels of a non- linear system by cross-correlation. ''International Journal of Control, First Series'', 2:237-254〕 It is closely related to linear regression.
== Mathematical Definition ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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