Dimensionality reduction in neural models: An information-theoretic generalization of spike-triggered average and covariance analysis
Dimensionality reduction in neural models: An information-theoretic generalization of spike-triggered average and covariance analysis
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DOI：
10.1167/6.4.9
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发表时间：
2006-01-01
影响因子：
1.8
通讯作者：
Simoncelli, Eero P.
中科院分区：
文献类型：
--
作者：
Pillow, Jonathan W.;Simoncelli, Eero P.
我们描述了一个信息理论的框架，拟合神经棘波反应的线性-非线性-泊松级联模型。该框架统一了尖峰触发的平均值（STA）和尖峰触发的协方差（STC）的神经表征方法，并恢复了一组线性滤波器，最大限度地提高刺激和尖峰响应之间的平均值和方差相关的信息。所得到的方法具有几个有用的性质，即，（1）它恢复一组线性滤波器排序根据其关于神经响应的信息;（2）它是计算效率和鲁棒性，允许恢复多个线性滤波器从相对适度大小的数据集;（3）它以高斯比率的形式提供了将滤波器响应映射到尖峰速率的非线性级的显式“缺省”模型;（4）它等价于该缺省模型的最大似然估计，但只要满足STA或STC分析的一致性的条件，它也收敛于正确的滤波器估计;以及（5）它可以用对滤波器的附加约束（例如空间-时间可分性）来增强。我们证明了该方法的有效性，将其应用到模拟的霍奇金-赫胥黎神经元的反应和记录的猕猴视网膜神经节细胞和V1细胞的细胞外反应。
We describe an information-theoretic framework for fitting neural spike responses with a Linear-Nonlinear-Poisson cascade model. This framework unifies the spike-triggered average (STA) and spike-triggered covariance (STC) approaches to neural characterization and recovers a set of linear filters that maximize mean and variance-dependent information between stimuli and spike responses. The resulting approach has several useful properties, namely, (1) it recovers a set of linear filters sorted according to their informativeness about the neural response; (2) it is both computationally efficient and robust, allowing recovery of multiple linear filters from a data set of relatively modest size; (3) it provides an explicit "default'' model of the nonlinear stage mapping the filter responses to spike rate, in the form of a ratio of Gaussians; (4) it is equivalent to maximum likelihood estimation of this default model but also converges to the correct filter estimates whenever the conditions for the consistency of STA or STC analysis are met; and (5) it can be augmented with additional constraints on the filters, such as space-time separability. We demonstrate the effectiveness of the method by applying it to simulated responses of a Hodgkin-Huxley neuron and the recorded extracellular responses of macaque retinal ganglion cells and V1 cells.