Learning the nonlinearity of neurons from natural visual stimuli

Christoph Kayser*, Konrad P. Körding, Peter König

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


Learning in neural networks is usually applied to parameters related to linear kernels and keeps the nonlinearity of the model fixed. Thus, for successful models, properties and parameters of the nonlinearity have to be specified using a priori knowledge, which often is missing. Here, we investigate adapting the nonlinearity simultaneously with the linear kernel. We use natural visual stimuli for training a simple model of the visual system. Many of the neurons converge to an energy detector matching existing models of complex cells. The overall distribution of the parameter describing the nonlinearity well matches recent physiological results. Controls with randomly shuffled natural stimuli and pink noise demonstrate that the match of simulation and experimental results depends on the higher-order statistical properties of natural stimuli.

Original languageEnglish (US)
Pages (from-to)1751-1759
Number of pages9
JournalNeural Computation
Issue number8
StatePublished - Aug 2003

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Cognitive Neuroscience

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