All reports by Author Eduardo D. Sontag:

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TR06-137
| 13th November 2006
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Prashant Joshi, Eduardo D. Sontag#### Computational aspects of feedback in neural circuits

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TR06-010
| 1st December 2005
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Reka Albert, Bhaskar DasGupta, Riccardo Dondi, Eduardo D. Sontag#### Inferring (Biological) Signal Transduction Networks via Transitive Reductions of Directed Graphs

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TR00-031
| 31st May 2000
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Eduardo D. Sontag#### Neural Systems as Nonlinear Filters

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TR97-052
| 11th November 1997
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Eduardo D. Sontag#### Analog Neural Nets with Gaussian or other Common Noise Distributions cannot Recognize Arbitrary Regular Languages

Prashant Joshi, Eduardo D. Sontag

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 ...
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Reka Albert, Bhaskar DasGupta, Riccardo Dondi, Eduardo D. Sontag

In this paper we consider the p-ary transitive reduction (TR<sub>p</sub>) 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 >>>

Eduardo D. Sontag

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. ...
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Eduardo D. Sontag

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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