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Neural Fields

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Neural Fields

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Author : Stephen Coombes
language : en
Publisher: Springer
Release Date : 2014-06-17

Neural Fields written by Stephen Coombes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-17 with Mathematics categories.

Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Robinson, Bressloff, Wright and Haken. Since then, much progress has been made in both, the development of mathematical and numerical techniques and in physiological refinement und understanding. In contrast to large-scale neural network models described by huge connectivity matrices that are computationally expensive in numerical simulations, neural field models described by connectivity kernels allow for analytical treatment by means of methods from functional analysis. Thus, a number of rigorous results on the existence of bump and wave solutions or on inverse kernel construction problems are nowadays available. Moreover, neural fields provide an important interface for the coupling of neural activity to experimentally observable data, such as the electroencephalogram (EEG) or functional magnetic resonance imaging (fMRI). And finally, neural fields over rather abstract feature spaces, also called dynamic fields, found successful applications in the cognitive sciences and in robotics. Up to now, research results in neural field theory have been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. There is no comprehensive collection of results or reviews available yet. With our proposed book Neural Field Theory, we aim at filling this gap in the market. We received consent from some of the leading scientists in the field, who are willing to write contributions for the book, among them are two of the founding-fathers of neural field theory: Shun-ichi Amari and Jack Cowan.

Neural Masses And Fields Modelling The Dynamics Of Brain Activity

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Author : Karl Friston
language : en
Publisher: Frontiers Media SA
Release Date : 2015-05-25

Neural Masses And Fields Modelling The Dynamics Of Brain Activity written by Karl Friston and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-25 with Differential equations categories.

Biophysical modelling of brain activity has a long and illustrious history and has recently profited from technological advances that furnish neuroimaging data at an unprecedented spatiotemporal resolution. Neuronal modelling is a very active area of research, with applications ranging from the characterization of neurobiological and cognitive processes, to constructing artificial brains in silico and building brain-machine interface and neuroprosthetic devices. Biophysical modelling has always benefited from interdisciplinary interactions between different and seemingly distant fields; ranging from mathematics and engineering to linguistics and psychology. This Research Topic aims to promote such interactions by promoting papers that contribute to a deeper understanding of neural activity as measured by fMRI or electrophysiology. In general, mean field models of neural activity can be divided into two classes: neural mass and neural field models. The main difference between these classes is that field models prescribe how a quantity characterizing neural activity (such as average depolarization of a neural population) evolves over both space and time as opposed to mass models, which characterize activity over time only; by assuming that all neurons in a population are located at (approximately) the same point. This Research Topic focuses on both classes of models and considers several aspects and their relative merits that: span from synapses to the whole brain; comparisons of their predictions with EEG and MEG spectra of spontaneous brain activity; evoked responses, seizures, and fitting data - to infer brain states and map physiological parameters.

Dynamic Neural Field Theory For Motion Perception

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Author : Martin A. Giese
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Dynamic Neural Field Theory For Motion Perception written by Martin A. Giese and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Dynamic Neural Field Theory for Motion Perception provides a new theoretical framework that permits a systematic analysis of the dynamic properties of motion perception. This framework uses dynamic neural fields as a key mathematical concept. The author demonstrates how neural fields can be applied for the analysis of perceptual phenomena and its underlying neural processes. Also, similar principles form a basis for the design of computer vision systems as well as the design of artificially behaving systems. The book discusses in detail the application of this theoretical approach to motion perception and will be of great interest to researchers in vision science, psychophysics, and biological visual systems.

Ultra Low Field Nuclear Magnetic Resonance

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Author : Robert Henry Kraus (Jr.)
language : en
Publisher: Oxford University Press
Release Date : 2014-02

Ultra Low Field Nuclear Magnetic Resonance written by Robert Henry Kraus (Jr.) and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Medical categories.

This book covers topics in NMR/MRI at magnetic fields from milli-Tesla to micro-Tesla, the ultra-low field (ULF) regime, with an emphasis on imaging and understanding the human using its applications. Discussion of hardware considerations, relaxation contrast, imaging, artifact correction, and other applications unique to the ULF regime are presented.

Complex Valued Neural Networks

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Author : Akira Hirose
language : en
Publisher: World Scientific
Release Date : 2003

Complex Valued Neural Networks written by Akira Hirose and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computers categories.

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.

Complex Valued Neural Networks Theories And Applications

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Author : Akira Hirose
language : en
Publisher: World Scientific
Release Date : 2003-11-18

Complex Valued Neural Networks Theories And Applications written by Akira Hirose and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-18 with Computers categories.

Advances In Mathematical Methods And High Performance Computing

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Author : Vinai K. Singh
language : en
Publisher: Springer
Release Date : 2019-02-14

Advances In Mathematical Methods And High Performance Computing written by Vinai K. Singh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-14 with Mathematics categories.

This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.

Smart Multimedia

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Author : Stefano Berretti
language : en
Publisher: Springer Nature
Release Date : 2025-03-03

Smart Multimedia written by Stefano Berretti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-03 with Computers categories.

This book constitutes the refereed post-proceedings of the 4th International Conference on Smart Multimedia, ICSM 2024, held in Los Angeles, California, USA, in March 28–30, 2024. The 9 full papers, 8 special papers, 4 industrial papers, 3 late breaking papers, and 3 short papers presented were carefully reviewed and selected from 60 submissions. The papers are organized in the following topical sections: machine learning for multimedia; multimedia; special session on smart homes and cities - the future through smart technological innovations; multimedia processing; short and industrial papers; industrial trend; late breaking papers; special session: haptic and human machine interaction.

Neural Modeling And Neural Networks

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Author : F. Ventriglia
language : en
Publisher: Elsevier
Release Date : 2013-10-22

Neural Modeling And Neural Networks written by F. Ventriglia and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Medical categories.

Research in neural modeling and neural networks has escalated dramatically in the last decade, acquiring along the way terms and concepts, such as learning, memory, perception, recognition, which are the basis of neuropsychology. Nevertheless, for many, neural modeling remains controversial in its purported ability to describe brain activity. The difficulties in "modeling" are various, but arise principally in identifying those elements that are fundamental for the expression (and description) of superior neural activity. This is complicated by our incomplete knowledge of neural structures and functions, at the cellular and population levels. The first step towards enhanced appreciation of the value of neural modeling and neural networks is to be aware of what has been achieved in this multidisciplinary field of research. This book sets out to create such awareness. Leading experts develop in twelve chapters the key topics of neural structures and functions, dynamics of single neurons, oscillations in groups of neurons, randomness and chaos in neural activity, (statistical) dynamics of neural networks, learning, memory and pattern recognition.

Advances In Neural Computation Machine Learning And Cognitive Research Iv

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Author : Boris Kryzhanovsky
language : en
Publisher: Springer Nature
Release Date : 2020-10-01

Advances In Neural Computation Machine Learning And Cognitive Research Iv written by Boris Kryzhanovsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Technology & Engineering categories.

This book describes new theories and applications of artificial neural networks, with a special focus on answering questions in neuroscience, biology and biophysics and cognitive research. It covers a wide range of methods and technologies, including deep neural networks, large scale neural models, brain computer interface, signal processing methods, as well as models of perception, studies on emotion recognition, self-organization and many more. The book includes both selected and invited papers presented at the XXII International Conference on Neuroinformatics, held on October 12-16, 2020, Moscow, Russia.

Neural Fields

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