A Complex Cell-like Receptive Field Obtained by Information Maximization
Abstract
The energy model (Pollen & Ronner, 1983; Adelson & Bergen, 1985) for a complex cell in the visual cortex is investigated theoretically. The energy model describes the output of a complex cell as the squared sum of outputs of two linear operators. An information-maximization problem to determine the two linear operators is investigated assuming the low signal-to-noise ratio limit and a localization term in the objective function. As a result, two linear operators characterized by a quadrature pair of Gabor functions are obtained as solutions. The result agrees with the energy model, which well describes the shift-invariant and orientation-selective responses of actual complex cells, and thus suggests that complex cells are optimally designed from an information-theoretic viewpoint.
Cite
Text
Okajima and Imaoka. "A Complex Cell-like Receptive Field Obtained by Information Maximization." Neural Computation, 2001. doi:10.1162/089976601300014457Markdown
[Okajima and Imaoka. "A Complex Cell-like Receptive Field Obtained by Information Maximization." Neural Computation, 2001.](https://mlanthology.org/neco/2001/okajima2001neco-complex/) doi:10.1162/089976601300014457BibTeX
@article{okajima2001neco-complex,
title = {{A Complex Cell-like Receptive Field Obtained by Information Maximization}},
author = {Okajima, Kenji and Imaoka, Hitoshi},
journal = {Neural Computation},
year = {2001},
pages = {547-562},
doi = {10.1162/089976601300014457},
volume = {13},
url = {https://mlanthology.org/neco/2001/okajima2001neco-complex/}
}