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:
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Introduction
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About the Author
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Notes to the Reader
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Logic and Networks:
- Logical Foundations
- Neuronal Networks
- The Logic of Many Networks
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Applications:
- Memory-like Processes
- Tsien's Theory of Connectivity
- A General Syntax of Retrieval
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Appendices:
- Appendix to Chapter 1
- A Mathematics Primer
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Bibliography
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Index
Readership: Researchers and graduate students in Neuroscience, Biomathematics, Biophysics, Mathematics, Computer Science, and related fields.
Key Features:
- Introduces a new neural network model and its applications
- The book is largely self-contained, with proofs developed in situ
- Two appendices provided for readers without the requisite background
