Stochastic Models of Neural Networks

Stochastic Models of Neural Networks PDF Author: Claudio Turchetti
Publisher: IOS Press
ISBN: 9784274906268
Category : Neural networks (Computer science)
Languages : en
Pages : 202

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Book Description

Stochastic Models of Neural Networks

Stochastic Models of Neural Networks PDF Author: Claudio Turchetti
Publisher: IOS Press
ISBN: 9784274906268
Category : Neural networks (Computer science)
Languages : en
Pages : 202

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Book Description


Advanced Models of Neural Networks

Advanced Models of Neural Networks PDF Author: Gerasimos G. Rigatos
Publisher: Springer
ISBN: 3662437643
Category : Technology & Engineering
Languages : en
Pages : 296

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Book Description
This book provides a complete study on neural structures exhibiting nonlinear and stochastic dynamics, elaborating on neural dynamics by introducing advanced models of neural networks. It overviews the main findings in the modelling of neural dynamics in terms of electrical circuits and examines their stability properties with the use of dynamical systems theory. It is suitable for researchers and postgraduate students engaged with neural networks and dynamical systems theory.

Stochastic Models of Neural Networks Involved in Learning and Memory

Stochastic Models of Neural Networks Involved in Learning and Memory PDF Author: Muhammad K. Habib
Publisher:
ISBN:
Category : Biometry
Languages : en
Pages : 61

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Book Description


Stochastic Neuron Models

Stochastic Neuron Models PDF Author: Priscilla E. Greenwood
Publisher: Springer
ISBN: 3319269119
Category : Mathematics
Languages : en
Pages : 82

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Book Description
This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these problems is outlined within the text, so readers can grasp the context in which they arise. This book will be useful for graduate students and instructors providing material and references for applying probability to stochastic neuron modeling. Methods and results are presented, but the emphasis is on questions where additional stochastic analysis may contribute neuroscience insight. An extensive bibliography is included. Dr. Priscilla E. Greenwood is a Professor Emerita in the Department of Mathematics at the University of British Columbia. Dr. Lawrence M. Ward is a Professor in the Department of Psychology and the Brain Research Centre at the University of British Columbia.

Forecasting: principles and practice

Forecasting: principles and practice PDF Author: Rob J Hyndman
Publisher: OTexts
ISBN: 0987507117
Category : Business & Economics
Languages : en
Pages : 380

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Book Description
Forecasting is required in many situations. Stocking an inventory may require forecasts of demand months in advance. Telecommunication routing requires traffic forecasts a few minutes ahead. Whatever the circumstances or time horizons involved, forecasting is an important aid in effective and efficient planning. This textbook provides a comprehensive introduction to forecasting methods and presents enough information about each method for readers to use them sensibly.

Artificial Neural Network Modelling

Artificial Neural Network Modelling PDF Author: Subana Shanmuganathan
Publisher: Springer
ISBN: 3319284959
Category : Technology & Engineering
Languages : en
Pages : 468

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Book Description
This book covers theoretical aspects as well as recent innovative applications of Artificial Neural networks (ANNs) in natural, environmental, biological, social, industrial and automated systems. It presents recent results of ANNs in modelling small, large and complex systems under three categories, namely, 1) Networks, Structure Optimisation, Robustness and Stochasticity 2) Advances in Modelling Biological and Environmental Systems and 3) Advances in Modelling Social and Economic Systems. The book aims at serving undergraduates, postgraduates and researchers in ANN computational modelling.

Statistical Field Theory for Neural Networks

Statistical Field Theory for Neural Networks PDF Author: Moritz Helias
Publisher: Springer Nature
ISBN: 303046444X
Category : Science
Languages : en
Pages : 203

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Book Description
This book presents a self-contained introduction to techniques from field theory applied to stochastic and collective dynamics in neuronal networks. These powerful analytical techniques, which are well established in other fields of physics, are the basis of current developments and offer solutions to pressing open problems in theoretical neuroscience and also machine learning. They enable a systematic and quantitative understanding of the dynamics in recurrent and stochastic neuronal networks. This book is intended for physicists, mathematicians, and computer scientists and it is designed for self-study by researchers who want to enter the field or as the main text for a one semester course at advanced undergraduate or graduate level. The theoretical concepts presented in this book are systematically developed from the very beginning, which only requires basic knowledge of analysis and linear algebra.

Stochastic Models of Spike Trains and Neural Networks

Stochastic Models of Spike Trains and Neural Networks PDF Author: Taşkın Deniz
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Neuronal Stochastic Variability: Influences on Spiking Dynamics and Network Activity

Neuronal Stochastic Variability: Influences on Spiking Dynamics and Network Activity PDF Author: Mark D. McDonnell
Publisher: Frontiers Media SA
ISBN: 2889198847
Category : Neurosciences. Biological psychiatry. Neuropsychiatry
Languages : en
Pages : 158

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Book Description
Stochastic fluctuations are intrinsic to and unavoidable at every stage of neural dynamics. For example, ion channels undergo random conformational changes, neurotransmitter release at synapses is discrete and probabilistic, and neural networks are embedded in spontaneous background activity. The mathematical and computational tool sets contributing to our understanding of stochastic neural dynamics have expanded rapidly in recent years. New theories have emerged detailing the dynamics and computational power of the balanced state in recurrent networks. At the cellular level, novel stochastic extensions to the classical Hodgkin-Huxley model have enlarged our understanding of neuronal dynamics and action potential initiation. Analytical methods have been developed that allow for the calculation of the firing statistics of simplified phenomenological integrate-and-fire models, taking into account adaptation currents or temporal correlations of the noise. This Research Topic is focused on identified physiological/internal noise sources and mechanisms. By "internal", we mean variability that is generated by intrinsic biophysical processes. This includes noise at a range of scales, from ion channels to synapses to neurons to networks. The contributions in this Research Topic introduce innovative mathematical analysis and/or computational methods that relate to empirical measures of neural activity and illuminate the functional role of intrinsic noise in the brain.

Stochastic Methods in Neuroscience

Stochastic Methods in Neuroscience PDF Author: Carlo Laing
Publisher: Oxford University Press
ISBN: 0199235074
Category : Mathematics
Languages : en
Pages : 399

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Book Description
Great interest is now being shown in computational and mathematical neuroscience, fuelled in part by the rise in computing power, the ability to record large amounts of neurophysiological data, and advances in stochastic analysis. These techniques are leading to biophysically more realistic models. It has also become clear that both neuroscientists and mathematicians profit from collaborations in this exciting research area.Graduates and researchers in computational neuroscience and stochastic systems, and neuroscientists seeking to learn more about recent advances in the modelling and analysis of noisy neural systems, will benefit from this comprehensive overview. The series of self-contained chapters, each written by experts in their field, covers key topics such as: Markov chain models for ion channel release; stochastically forced single neurons and populations of neurons; statistical methods for parameterestimation; and the numerical approximation of these stochastic models.Each chapter gives an overview of a particular topic, including its history, important results in the area, and future challenges, and the text comes complete with a jargon-busting index of acronyms to allow readers to familiarize themselves with the language used.