AUTHOR=Hayakawa Takashi , Kaneko Takeshi , Aoyagi Toshio TITLE=A biologically plausible learning rule for the Infomax on recurrent neural networks JOURNAL=Frontiers in Computational Neuroscience VOLUME=Volume 8 - 2014 YEAR=2014 URL=https://www.frontiersin.org/journals/computational-neuroscience/articles/10.3389/fncom.2014.00143 DOI=10.3389/fncom.2014.00143 ISSN=1662-5188 ABSTRACT=A fundamental issue in neuroscience is to understand how neuronal circuits in the cerebral cortex play their functional roles through their characteristic firing activity. Recently, several characteristics of cortical activity have been reproduced by Infomax learning of neural networks in computational studies. There are, however, still few models of the underlying learning mechanisms that allow cortical circuits to self-organize and display such characteristic activity. In the present article, we derive a biologically plausible learning rule for the maximization of information retained through time in dynamics of simple recurrent neural networks. Applying the derived learning rule in a numerical simulation, we reproduce several firing profiles observed in the cerebral cortex: cell-assembly-like repeats of precise firing sequences, neuronal avalanche, spontaneous replays of learned firing sequences and orientation selectivity in the primary visual cortex. We further discuss the similarity between the derived learning rule and the spike timing-dependent plasticity of cortical neurons.