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Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic
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Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and LogicНазвание: Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic
Автор: Stephen A Selesnick
Издательство: World Scientific Publishing
Год: 2023
Страниц: 354
Язык: английский
Формат: pdf (true), epub
Размер: 30.1 MB

Do brains compute? If they do, what do they compute and how do they do it? The first part of the book introduces the development of a model that simulates actual biological neurons more closely than do current standard models of neural networks, as well as the deduction of its physics-like and computational properties from first principles. The second part presents a collection of applications of the model to memory formation and loss, a general syntax for memory retrieval, language itself, and certain forms of aphasia. A linear development of the discussion with proofs in situ is employed by the author, making the book essentially self-contained. A pair of helpful appendices are provided to acquaint the reader with necessary fundamentals of topics in logic and mathematics. Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic will show you an entirely new approach to an ancient subject.

Contents:

Introduction
About the Author
Notes to the Reader
Logic and Networks:[list]
Logical Foundations
Neuronal Networks
The Logic of Many Networks

Applications:

Memory-like Processes

Tsien's Theory of Connectivity
A General Syntax of Retrieval

Appendices:

Appendix to Chapter 1

A Mathematics Primer

Bibliography
Index

Readership: Researchers and graduate students in Neuroscience, Biomathematics, Biophysics, Mathematics, Computer Science, and related fields.

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