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Emergence of complex cell properties by learning to generalize in natural scenes


A fundamental function of the visual system is to encode the building blocks of natural scenes—edges, textures and shapes—that subserve visual tasks such as object recognition and scene understanding. Essential to this process is the formation of abstract representations that generalize from specific instances of visual input. A common view holds that neurons in the early visual system signal conjunctions of image features1,2, but how these produce invariant representations is poorly understood. Here we propose that to generalize over similar images, higher-level visual neurons encode statistical variations that characterize local image regions. We present a model in which neural activity encodes the probability distribution most consistent with a given image. Trained on natural images, the model generalizes by learning a compact set of dictionary elements for image distributions typically encountered in natural scenes. Model neurons show a diverse range of properties observed in cortical cells. These results provide a new functional explanation for nonlinear effects in complex cells3,4,5,6 and offer insight into coding strategies in primary visual cortex (V1) and higher visual areas.

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Figure 1: Statistical patterns distinguish local regions of natural scenes.
Figure 2: Distribution coding model.
Figure 3: Model neurons exhibit properties of cortical visual neurons.
Figure 4: Generalization across natural variability.

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This work was supported by the Department of Energy through the Computational Science Graduate Fellowship (to Y.K.), the National Science Foundation Grant under grant numbers 0413152 and 0705677 (to M.S.L.) and the Office of Naval Research under the Multidisciplinary University Research Initiative N000140710747.

Author Contributions Y.K. and M.S.L. developed the model, analysed the results and wrote the paper; Y.K. ran the simulations.

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Correspondence to Yan Karklin or Michael S. Lewicki.

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This file contains Supplementary Discussions 1-5, Supplementary Figures S1-S3 with Legends, Supplementary Methods and Supplementary References. (PDF 275 kb)

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Karklin, Y., Lewicki, M. Emergence of complex cell properties by learning to generalize in natural scenes. Nature 457, 83–86 (2009).

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