Title:  Image Statistics, Hyper-sparse Codes and the Geometry of

  Non-linearities in Visual Neurons.

 

 

David Field

Department of Psychology

Cornell University

 

Abstract:

Recent work has demonstrated that many aspects of visual coding can be accounted for in terms of the sparse structure of natural scenes. However, the current approaches still account for only a fraction of the dependent structure in images and account for only a small portion of the known response properties of visual neurons. In this talk, we consider some of the dependent structure of images in terms of sparse and hyper-sparse codes (local 'winner take all' codes). It is proposed that by considering the response geometry of these codes, we can gain significant insights into the non-linear response properties of visual neurons.