منابع مشابه
Computability of analog networks
We define a general concept of a network of analog modules connected by channels, processing data from a metric space A, and operating with respect to a global continuous clock T. The inputs and outputs of the network are continuous streams u : T→ A, and the input-output behaviour of the network with system parameters from A is modelled by a function Φ : A × C[T, A] → C[T, A] (p, q > 0, r ≥ 0),...
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In this paper we are interested in a particular model of analog computation, the General Purpose Analog Computer (GPAC). In particular, we provide more solid foundations for this model and we show that it can be used to introduce a notion of computability for smooth continuous dynamical systems over R. We also show that hierarchies over these dynamical systems can be established, thereby defini...
متن کاملComputability of analogue networks
We define a general concept of a network of analogue modules connected by channels, processing data from a metric space A, and operating with respect to a global continuous clock . The inputs and outputs of the network are continuous streams u : → A, and the input-output behaviour of the network with system parameters from A is modelled by a function Φ : C[ , A]×A → C[ , A] (p, q > 0, r ≥ 0), w...
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The aim of this paper is to compare what can be computed with what can be learnable by Artificial Neural Networks (ANN). We will approach the learnability problem in ANN by fixing a particular class of ANN: the weightless neural networks (WNN) ([4)) and restricting ourselves to a particular learning paradigm: learning to recognise sentences of a formallanguage. We will approach the computabilit...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2007
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2006.10.018