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Titlebook: Analysis of Neural Networks; Uwe Heiden Book 1980 Springer-Verlag Berlin Heidelberg 1980 Analysis.Biomathematik.Nervennetz.Nervous System.

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发表于 2025-3-21 16:41:33 | 显示全部楼层 |阅读模式
期刊全称Analysis of Neural Networks
影响因子2023Uwe Heiden
视频video
学科分类Lecture Notes in Biomathematics
图书封面Titlebook: Analysis of Neural Networks;  Uwe Heiden Book 1980 Springer-Verlag Berlin Heidelberg 1980 Analysis.Biomathematik.Nervennetz.Nervous System.
影响因子The purpose of this work is a unified and general treatment of activity in neural networks from a mathematical pOint of view. Possible applications of the theory presented are indica­ ted throughout the text. However, they are not explored in de­ tail for two reasons : first, the universal character of n- ral activity in nearly all animals requires some type of a general approach~ secondly, the mathematical perspicuity would suffer if too many experimental details and empirical peculiarities were interspersed among the mathematical investigation. A guide to many applications is supplied by the references concerning a variety of specific issues. Of course the theory does not aim at covering all individual problems. Moreover there are other approaches to neural network theory (see e.g. Poggio-Torre, 1978) based on the different lev­ els at which the nervous system may be viewed. The theory is a deterministic one reflecting the average be­ havior of neurons or neuron pools. In this respect the essay is written in the spirit of the work of Cowan, Feldman, and Wilson (see sect. 2.2). The networks are described by systems of nonlinear integral equations. Therefore the paper can also be r
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Homogeneous networks with lateral inhibition and self-excitation: nonhomogeneous spatial patterns,
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0341-633X cations of the theory presented are indica­ ted throughout the text. However, they are not explored in de­ tail for two reasons : first, the universal character of n- ral activity in nearly all animals requires some type of a general approach~ secondly, the mathematical perspicuity would suffer if t
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Morphological Aspects of Fungal Dimorphismeneral form of a neural network. Special networks are obtained by specifying the functions and parameters in the framework either by experimental measurements or by derivation from other more specific neuron models and interaction principles.
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Hugo Bossche,Frank C. Odds,David Kerridgeds to the state of the network (uniqueness problem). Finally it could happen that the system determines a unique solution, but this solution cannot be extended beyond a certain finite time t*. Then it remains unclear how the network will evolve after t* (extension problem).
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Beti Lameva,Ženeta Džumhur,Mojca Rožman1977). At a higher level oscillations of whole cell populations are known, e. g. in the olfactory bulb (Freeman, 1975) or those reflected by the EEG. Two further important examples are the respiratory and circulatory systems, the rhythms of which are governed by neural activity.
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