Math @ Duke

Publications [#264891] of Guillermo Sapiro
Papers Published
 Ringach, DL; Sapiro, G; Shapley, R, A simple reverse correlation scheme for the identification of visual neurons,
Investigative Ophthalmology & Visual Science, vol. 37 no. 3
(February, 1996),
pp. S904, ISSN 01460404
(last updated on 2019/06/25)
Abstract: Purpose. The standard approach to generalize the whitenoise technique to neural systems with multiple inputs consists of using a spatiotemporal white noise stimulus. A drawback of this methodology is that the input space to be explored is huge, and only a sparse coverage can be achieved in limited time. We propose a new discretetime reverse correlation technique that effectively reduces the dimension of the input space, yielding higher signal to noise ratios. This is achieved by exploiting a priori knowledge about the spatial tuning properties of the neuron. Results. We first select a set S of M orthonormal images of size N2 pixels. The idea is to have M ≪ N2 and use previous knowledge about the neuron's spatial tuning to select an appropriate input space. An input image sequence is generated by selecting, at each time, a random element from S. We prove that the projection of the receptive field onto the subspace spanned by the set S can be estimated based on measurements of the crosscorrelation between the input image sequence and the cell's output. The technique can also be applied to systems that can be modeled as a linear receptive field followed by a static nonlinearity. Examples are shown where S is a subset of the complete twodimensional discrete Hartley basis functions. Conclusions. A simple reverse correlation scheme that only requires the generation of a fixed number of images can be used to identify quasilinear visual neurons. Prior knowledge of the spatial tuning of the cell can be incorporated in the selection of an effective set of stimulus images. We are currently applying this technique to the analysis of V1 simple cells.


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