Homogeneous Artificial Neural Network
Document type :
Pré-publication ou Document de travail
Title :
Homogeneous Artificial Neural Network
Author(s) :
English keyword(s) :
homogeneous function
artificial neural network
artificial neural network
HAL domain(s) :
Informatique [cs]/Intelligence artificielle [cs.AI]
Informatique [cs]/Systèmes et contrôle [cs.SY]
Mathématiques [math]/Systèmes dynamiques [math.DS]
Informatique [cs]/Systèmes et contrôle [cs.SY]
Mathématiques [math]/Systèmes dynamiques [math.DS]
English abstract : [en]
The paper proposes an artificial neural network (ANN) being a global approximator for a special class of functions, which are known as generalized homogeneous. The homogeneity means a symmetry of a function with respect ...
Show more >The paper proposes an artificial neural network (ANN) being a global approximator for a special class of functions, which are known as generalized homogeneous. The homogeneity means a symmetry of a function with respect to a group of transformations having topological characterization of a dilation. In this paper, a class of the so-called linear dilations is considered. A homogeneous universal approximation theorem is proven. Procedures for an upgrade of an existing ANN to a homogeneous one are developed. Theoretical results are supported by examples from the various domains (computer science, systems theory and automatic control).Show less >
Show more >The paper proposes an artificial neural network (ANN) being a global approximator for a special class of functions, which are known as generalized homogeneous. The homogeneity means a symmetry of a function with respect to a group of transformations having topological characterization of a dilation. In this paper, a class of the so-called linear dilations is considered. A homogeneous universal approximation theorem is proven. Procedures for an upgrade of an existing ANN to a homogeneous one are developed. Theoretical results are supported by examples from the various domains (computer science, systems theory and automatic control).Show less >
Language :
Anglais
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