162
Views
37
CrossRef citations to date
0
Altmetric
Original

Complex cell pooling and the statistics of natural images

&
Pages 81-100 | Received 19 Aug 2005, Accepted 25 Apr 2007, Published online: 09 Jul 2009

References

  • Adelson EH, Bergen JR. Spatiotemporal energy models for the perception of motion. J Opt Soc Am A 1985; 2(2)284–299
  • Alonso J-M, Martinez LM. Functional connectivity between simple cells and complex cells in cat striate cortex. Nature Neuroscience 1998; 1(5)395–403
  • Anzai A, Ohzawa I, Freeman R.D. Neural mechanisms for processing binocular information i. Simple cells. J Neurophysiol 1999; 82: 891–908
  • Bell AJ, Sejnowski TJ. The independent components of natural scenes are edge filters. Vision Research 1997; 37: 3327–3338
  • Chance FS, Nelson SB, Abbott LF. Complex cells as cortically amplified simple cells. Nature Neuroscience 1999; 2(3)277–282
  • Fang KT, Kotz S, Ng KW. Symmetric multivariate and related distributions. Chapman and Hall, London and New York 1990
  • Gehler PV, Welling M. Product of edgeperts. Advances in neural information processing system. MIT Press, Cambridge 2005; 18: 8
  • Guleryuz OG, Lutwak E, Yang D, Zhang G. Information theoretic inequalities for contoured probability distributions. IEEE Transactions on Information Theory 2002; 48(8)2377–2383
  • Gupta A.K, Song D. Lp-norm spherical distribution. J of Statistical Planning and Inference 1997; 60: 241–260
  • Hashimoto W. Quadratic forms in natural images. Network: Computation in Neural Systems 2003; 14(4)765–88
  • Hinton GE. Training products of experts by minimizing contrastive divergence. Neural Computation 2002; 14: 1771–1800
  • Hyvärinen A. Fast and robust fixed-point algorithms for independent component analysis. IEEE Trans on Neural Networks 1999; 10(3)626–634
  • Hyvärinen A, Hoyer PO. Emergence of phase and shift invariant features by decomposition of natural images into independent feature subspaces. Neural Computation 2000; 12(7)1705–1720
  • Hyvärinen A, Gutmann M, Hoyer P. Statistical model of natural stimuli predicts edge-like pooling of spatial frequency channels in V2. BMC Neuroscience 2005; 6(12)
  • Karklin Y, Lewicki MS. Learning higher-order structures in natural images. Network: Computation in Neural Systems 2003; 14: 483–499
  • Kayser C, Körding KP, König P. Learning the nonlinearity of neurons from natural visual stimuli. Neural Comput. 2003; 15(8)1751–1759
  • Körding K, Kayser C, Einhäuser W, König P. How are complex cell properties adapted to the statistics of natural stimuli?. Journal of Neurophysiology 2004; 91(1)206–12
  • Mechler F, Ringach DL. On the classification of simple and complex cells. Vision Research 2002; 42(8)1017–33
  • Olshausen BA, Field DJ. Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 1996; 381: 607–609
  • Olshausen BA, Field DJ. Sparse coding with an overcomplete basis set: A strategy employed by V1?. Vision Research 1997; 37: 3311–3325
  • Osiewalski J, Steel MFJ. Robust bayesian inference in lq-spherical models (in miscellanea). Biometrika 1993; 80(2)456–460
  • Osindero S, Welling M, Hinton GE. Topographic product models applied to natural scene statistics. Neural Computation 2006; 18: 381–414
  • Schwartz O, Simoncelli EP. Natural signal statistics and sensory gain control. Nature Neuroscience 2001; 4(8)819–825
  • van Hateren JH, van der Schaaf A. Independent component filters of natural images compared with simple cells in primary visual cortex. Proc Royal Society ser B 1998; 265: 359–366

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.