We prove that except possibly for small exceptional sets, discrete-time analog neural nets are globally observable, i.e. all their cor-rupted pseudo-orbits on computer simulations actually reflect the true dynamical behavior of the network. Locally finite discrete (boolean) neural networks are observable without exception.
The paper will show that in order to obtain minimum size neural networks (i.e., size-optimal) for im...
International audienceObservability is the property that enables recovering the state of a dynamical...
The finite discrete-time recurrent neural networks are also exploited for potentially infinite compu...
It is shown that arbitrary locally finite discrete neural networks are observable (have the shadowin...
AbstractIt is shown that arbitrary locally finite discrete neural networks are observable (have the ...
AbstractWe pursue a particular approach to analog computation, based on dynamical systems of the typ...
We pursue a particular approach to analog computation, based on dynamical systems of the type used i...
We obtain a characterization of observability for a class of nonlinear systems which appear in neura...
We give necessary and sufficient conditions for observability of a class of recurrent neural network...
A transform is introduced that maps discrete neural network dynamics to almost everywhere topologica...
We examine the approximating power of recurrent networks for dynamical systems through an unbounded ...
We obtain a characterization of observability for a class of linear systems which appear in multiage...
Classical definitions of observability classify a system as either being observable or not. Observab...
Many real-life systems can be modeled as a complex network made up of nodes whose dynamics are gover...
International audienceClassical definitions of observability classify a system as either being obser...
The paper will show that in order to obtain minimum size neural networks (i.e., size-optimal) for im...
International audienceObservability is the property that enables recovering the state of a dynamical...
The finite discrete-time recurrent neural networks are also exploited for potentially infinite compu...
It is shown that arbitrary locally finite discrete neural networks are observable (have the shadowin...
AbstractIt is shown that arbitrary locally finite discrete neural networks are observable (have the ...
AbstractWe pursue a particular approach to analog computation, based on dynamical systems of the typ...
We pursue a particular approach to analog computation, based on dynamical systems of the type used i...
We obtain a characterization of observability for a class of nonlinear systems which appear in neura...
We give necessary and sufficient conditions for observability of a class of recurrent neural network...
A transform is introduced that maps discrete neural network dynamics to almost everywhere topologica...
We examine the approximating power of recurrent networks for dynamical systems through an unbounded ...
We obtain a characterization of observability for a class of linear systems which appear in multiage...
Classical definitions of observability classify a system as either being observable or not. Observab...
Many real-life systems can be modeled as a complex network made up of nodes whose dynamics are gover...
International audienceClassical definitions of observability classify a system as either being obser...
The paper will show that in order to obtain minimum size neural networks (i.e., size-optimal) for im...
International audienceObservability is the property that enables recovering the state of a dynamical...
The finite discrete-time recurrent neural networks are also exploited for potentially infinite compu...