It had previously been shown that generic cortical microcircuit
models can perform complex real-time computations on continuous
input streams, provided that these computations can be carried out
with a rapidly fading memory. We investigate in this article the
computational capability of such circuits in the ... more >>>

In this paper we consider the p-ary transitive reduction (TR_p) problem where p>0 is an integer; for p=2 this problem arises in inferring a sparsest possible (biological) signal transduction network consistent with a set of experimental observations with a goal to minimize false positive inferences even if risking false negatives. ... more >>>

Experimental data show that biological synapses behave quite
differently from the symbolic synapses in all common artificial
neural network models. Biological synapses are dynamic, i.e., their
``weight'' changes on a short time scale by several hundred percent
in dependence of the past input to the synapse. ... more >>>

We consider recurrent analog neural nets where the output of each
gate is subject to Gaussian noise, or any other common noise
distribution that is nonzero on a large set.
We show that many regular languages cannot be recognized by
networks of this type, and
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