Author: George A. Anastassiou
Publisher: Springer Nature
ISBN: 3031164008
Category : Technology & Engineering
Languages : en
Pages : 429
Book Description
This book is about the generalization and modernization of approximation by neural network operators. Functions under approximation and the neural networks are Banach space valued. These are induced by a great variety of activation functions deriving from the arctangent, algebraic, Gudermannian, and generalized symmetric sigmoid functions. Ordinary, fractional, fuzzy, and stochastic approximations are exhibited at the univariate, fractional, and multivariate levels. Iterated-sequential approximations are also covered. The book’s results are expected to find applications in the many areas of applied mathematics, computer science and engineering, especially in artificial intelligence and machine learning. Other possible applications can be in applied sciences like statistics, economics, etc. Therefore, this book is suitable for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.
Banach Space Valued Neural Network
Parametrized, Deformed and General Neural Networks
Author: George A. Anastassiou
Publisher: Springer Nature
ISBN: 3031430212
Category : Technology & Engineering
Languages : en
Pages : 854
Book Description
In this book, we introduce the parametrized, deformed and general activation function of neural networks. The parametrized activation function kills much less neurons than the original one. The asymmetry of the brain is best expressed by deformed activation functions. Along with a great variety of activation functions, general activation functions are also engaged. Thus, in this book, all presented is original work by the author given at a very general level to cover a maximum number of different kinds of neural networks: giving ordinary, fractional, fuzzy and stochastic approximations. It presents here univariate, fractional and multivariate approximations. Iterated sequential multi-layer approximations are also studied. The functions under approximation and neural networks are Banach space valued.
Publisher: Springer Nature
ISBN: 3031430212
Category : Technology & Engineering
Languages : en
Pages : 854
Book Description
In this book, we introduce the parametrized, deformed and general activation function of neural networks. The parametrized activation function kills much less neurons than the original one. The asymmetry of the brain is best expressed by deformed activation functions. Along with a great variety of activation functions, general activation functions are also engaged. Thus, in this book, all presented is original work by the author given at a very general level to cover a maximum number of different kinds of neural networks: giving ordinary, fractional, fuzzy and stochastic approximations. It presents here univariate, fractional and multivariate approximations. Iterated sequential multi-layer approximations are also studied. The functions under approximation and neural networks are Banach space valued.
Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Author: George A. Anastassiou
Publisher: Springer
ISBN: 3319669362
Category : Technology & Engineering
Languages : en
Pages : 322
Book Description
This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently. This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.
Publisher: Springer
ISBN: 3319669362
Category : Technology & Engineering
Languages : en
Pages : 322
Book Description
This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently. This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.
Neural Networks and Qualitative Physics
Author: Jean-Pierre Aubin
Publisher: Cambridge University Press
ISBN: 9780521445320
Category : Computers
Languages : en
Pages : 306
Book Description
This book is devoted to some mathematical methods that arise in two domains of artificial intelligence: neural networks and qualitative physics. Professor Aubin makes use of control and viability theory in neural networks and cognitive systems, regarded as dynamical systems controlled by synaptic matrices, and set-valued analysis that plays a natural and crucial role in qualitative analysis and simulation. This allows many examples of neural networks to be presented in a unified way. In addition, several results on the control of linear and nonlinear systems are used to obtain a "learning algorithm" of pattern classification problems, such as the back-propagation formula, as well as learning algorithms of feedback regulation laws of solutions to control systems subject to state constraints.
Publisher: Cambridge University Press
ISBN: 9780521445320
Category : Computers
Languages : en
Pages : 306
Book Description
This book is devoted to some mathematical methods that arise in two domains of artificial intelligence: neural networks and qualitative physics. Professor Aubin makes use of control and viability theory in neural networks and cognitive systems, regarded as dynamical systems controlled by synaptic matrices, and set-valued analysis that plays a natural and crucial role in qualitative analysis and simulation. This allows many examples of neural networks to be presented in a unified way. In addition, several results on the control of linear and nonlinear systems are used to obtain a "learning algorithm" of pattern classification problems, such as the back-propagation formula, as well as learning algorithms of feedback regulation laws of solutions to control systems subject to state constraints.
Advances in Mathematical Modelling, Applied Analysis and Computation
Author: Jagdev Singh
Publisher: Springer Nature
ISBN: 3031563042
Category :
Languages : en
Pages : 365
Book Description
Publisher: Springer Nature
ISBN: 3031563042
Category :
Languages : en
Pages : 365
Book Description
Handbook on Neural Information Processing
Author: Monica Bianchini
Publisher: Springer Science & Business Media
ISBN: 3642366570
Category : Technology & Engineering
Languages : en
Pages : 547
Book Description
This handbook presents some of the most recent topics in neural information processing, covering both theoretical concepts and practical applications. The contributions include: Deep architectures Recurrent, recursive, and graph neural networks Cellular neural networks Bayesian networks Approximation capabilities of neural networks Semi-supervised learning Statistical relational learning Kernel methods for structured data Multiple classifier systems Self organisation and modal learning Applications to content-based image retrieval, text mining in large document collections, and bioinformatics This book is thought particularly for graduate students, researchers and practitioners, willing to deepen their knowledge on more advanced connectionist models and related learning paradigms.
Publisher: Springer Science & Business Media
ISBN: 3642366570
Category : Technology & Engineering
Languages : en
Pages : 547
Book Description
This handbook presents some of the most recent topics in neural information processing, covering both theoretical concepts and practical applications. The contributions include: Deep architectures Recurrent, recursive, and graph neural networks Cellular neural networks Bayesian networks Approximation capabilities of neural networks Semi-supervised learning Statistical relational learning Kernel methods for structured data Multiple classifier systems Self organisation and modal learning Applications to content-based image retrieval, text mining in large document collections, and bioinformatics This book is thought particularly for graduate students, researchers and practitioners, willing to deepen their knowledge on more advanced connectionist models and related learning paradigms.
The Multipliers of Banach Space Valued Functions
Author: 何達諭
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
The 1994 IEEE International Conference on Neural Networks
Author:
Publisher: IEEE Computer Society Press
ISBN:
Category : Neural circuitry
Languages : en
Pages : 696
Book Description
Publisher: IEEE Computer Society Press
ISBN:
Category : Neural circuitry
Languages : en
Pages : 696
Book Description
Complex-valued Neural Networks
Author: Akira Hirose
Publisher: World Scientific
ISBN: 9812384642
Category : Computers
Languages : en
Pages : 387
Book Description
In recent years, complex-valued neural networks have widened the scope of application in optoelectronics, imaging, remote sensing, quantum neural devices and systems, spatiotemporal analysis of physiological neural systems, and artificial neural information processing. In this first-ever book on complex-valued neural networks, the most active scientists at the forefront of the field describe theories and applications from various points of view to provide academic and industrial researchers with a comprehensive understanding of the fundamentals, features and prospects of the powerful complex-valued networks.
Publisher: World Scientific
ISBN: 9812384642
Category : Computers
Languages : en
Pages : 387
Book Description
In recent years, complex-valued neural networks have widened the scope of application in optoelectronics, imaging, remote sensing, quantum neural devices and systems, spatiotemporal analysis of physiological neural systems, and artificial neural information processing. In this first-ever book on complex-valued neural networks, the most active scientists at the forefront of the field describe theories and applications from various points of view to provide academic and industrial researchers with a comprehensive understanding of the fundamentals, features and prospects of the powerful complex-valued networks.
Extension of Banach Space Valued Lipschitz Fubctions
Author: Mark Kozdoba
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
Book Description