Abstract
In the auditory system, the stimulus-response properties of single neurons are often described in terms of the spectrotemporal receptive field (STRF), a linear kernel relating the spectrogram of the sound stimulus to the instantaneous firing rate of the neuron. Several algorithms have been used to estimate STRFs from responses to natural stimuli; these algorithms differ in their functional models, cost functions, and regularization methods. Here, we characterize the stimulus-response function of auditory neurons using a generalized linear model (GLM). In this model, each cell's input is described by: 1) a stimulus filter (STRF); and 2) a post-spike filter, which captures dependencies on the neuron's spiking history. The output of the model is given by a series of spike trains rather than instantaneous firing rate, allowing the prediction of spike train responses to novel stimuli. We fit the model by maximum penalized likelihood to the spiking activity of zebra finch auditory midbrain neurons in response to conspecific vocalizations (songs) and modulation limited (ml) noise. We compare this model to normalized reverse correlation (NRC), the traditional method for STRF estimation, in terms of predictive power and the basic tuning properties of the estimated STRFs. We find that a GLM with a sparse prior predicts novel responses to both stimulus classes significantly better than NRC. Importantly, we find that STRFs from the two models derived from the same responses can differ substantially and that GLM STRFs are more consistent between stimulus classes than NRC STRFs. These results suggest that a GLM with a sparse prior provides a more accurate characterization of spectrotemporal tuning than does the NRC method when responses to complex sounds are studied in these neurons.
Highlights
Characterizing neural responses to natural stimuli remains one of the ultimate goals of sensory neuroscience
We found no significant differences in eBF between normalized reverse correlation (NRC) and generalized linear model (GLM) spectrotemporal receptive field (STRF) derived from neural responses to ml noise, or those derived from responses to song (p.0.9, two-sample KS test)
We found that a GLM can be successfully used to predict single-trial responses to synthetic and natural stimuli, and that, for the population of 169 cells used in this study, the GLM had a better predictive power than NRC
Summary
Characterizing neural responses to natural stimuli remains one of the ultimate goals of sensory neuroscience. Considerable technical difficulties exist for correctly estimating neural receptive fields (RFs) from natural stimuli. Two major difficulties are the interactions between higher-order statistics of the stimuli and inherent nonlinearities of neural responses [1,2] and the challenge of estimating receptive fields in high dimensional spaces with limited data [3,4]. Deviations from either the LN framework (e.g., the existence of more than one linear filter (multiple-filter LN), or extra terms that take into account spiking history) or the elliptical symmetry condition (e.g., naturalistic stimuli which contain higher order correlations) can introduce biases in the estimate of the RF
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