Takao Ueda
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 takaoueda@juno.com .