Here I have posted some of my research works on threshold transformations and dynamical systems of neural networks in a framework of discrete and combinatorial mathematics.
A new article is:
On a class of threshold transformations having single-cycle attractors (PDF).
The following is a comprehensive seminar note. It consists of 12 PDF and 1 TXT files.
Threshold Transformations and Dynamical Systems of Neural Networks (4th Ed).
Preface and Table of Contents
Chapter 1. Introduction
Chapter 2. Representations of basic Boolean transformations
Chapter 3. Reflective transformations
Chapter 4. Threshold functions and transformations
Chapter 5. Modification of threshold transformations
Chapter 6. Dynamical systems of first-order neural networks
Chapter 7. Calculus of attraction
Chapter 8. Attractors in second-order neural networks
Chapter 9. Attractors in non-autonomous neural networks
Chapter 10. Case study: Neural integrators
References, Index, Symbols, and Notations
Appendix. Computer program tools
If you want to directly access the Latex files, visit http://takaoueda.tripod.com.
If you have comments or suggestions, or if you are interested in joint research, email me at firstname.lastname@example.org.