Neural logic networks : a new class of neural networks / Hoon-Heng Teh.

Format:

Book

Author/Creator:

Teh, H. H.

Language:

English

Subjects (All):

Neural networks (Computer science).

Artificial intelligence.

Physical Description:

1 online resource (522 p.)

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c1995.

Language Note:

English

Summary:

This book is the first of a series of technical reports of a key research project of the Real-World Computing Program supported by the MITI of Japan.The main goal of the project is to model human intelligence by a special class of mathematical systems called neural logic networks.The book consists of three parts. Part 1 describes the general theory of neural logic networks and their potential applications. Part 2 discusses a new logic called Neural Logic which attempts to emulate more closely the logical thinking process of human. Part 3 studies the special features of neural logic networks wh

Contents:

Contents; Preface; Chapter 1 What Are Neural Logic Networks?; 1.1 Why Do We Need A New Neural Network Model?; 1.2 The Mathematical Definition Of Neural Logic Networks; 1.3 A Closer Look At The Definition Of Neural Logic Networks; 1.4 Potential Applications Of Neural Logic Networks; 1.4.1 Potential Application #1: Neural Logic Networks Are Powerful Tools For The Study Of Human Logic; 1.4.2 Potential Application #2: Neural Logic Networks Are Powerful Tools For The Study Of 3-Valued Set Theory

1.4.3 Potential Application #3: Neural Logic Networks Are Powerful Tools For The Study Of Incomplete Pattern Processing1.4.4 Potential Application #4: Neural Logic Networks Are Powerful Tools For The Study Of Knowledge Systems; 1.4.5 Potential Application #5: Neural Logic Networks Are Powerful Tools For The Study Of Financial Forecasts; 1.4.6 Potential Application #6: Neural Logic Networks Will Be Used To Integrate Symbolic Computing And Neural Computing; 1.5 The Neural Logic Family Of Networks; 1.5.1 Abstract Neural Logic Networks; 1.5.2 The Complex Neural Logic Networks

1.5.3 The 3-Valued Complex Neural Logic Networks1.5.4 The 3-Valued Neural Logic Networks; 1.5.5 The Real-Valued Neural Logic Networks; 1.5.6 The Boolean Neural Neural Logic Networks; 1.5.7 The Hopfield Neural Logic Networks; 1.5.8 The Complex Hopfield Neural Logic Networks; 1.5.9 The Probabilities And Fuzzy Logic Neural Logic Networks; 1.5.10 The Chaotic Neural Logic Networks; 1.5.11 Conclusion; 1.6 The Design And Construction Of Neural Computers; Chapter 2 Neural Logic Networks And Human Logical Reasoning; 2.1 What Is Human Logic?; 2.2 Neural Logic Networks: Basic Concepts

2.3 Neural Logic Networks: Basic Operations2.4 Neural Logic Networks: Basic Theorems; 2.5 Propositional Neural Logic: Propositional Language; 2.5.1 The Set Of Propositional Symbols; 2.5.2 The Set Of Logical Operations; 2.5.3 The Propositional Language L(P C) Generated By P And C; 2.5.4 The Propositional Algebra ; 2.5.5 The Propositional Logic System ; 2.5.6 Multiple Models Of Neural Propositional Logic Systems; 2.5.7 Neural Logic View Of The Propositional Logic System ; 2.5.8 Some Basic Theorems Of ; 2.5.9 Counting Equivalence Classes Of <L(P C)

2.5.10 The Lattice-Ordered Structure Of 2.6 Propositional Neural Logic: Logical Deductions; 2.6.1 Definitions Of Logical Deductions In ; 2.6.2 Formal Logical Deductions; 2.6.3 Completeness Aspect Of The Propositional Neural Logic Systems ; 2.7 First Order Neural Logic; 2.7.1 A Perspective Of The Proposed Theory; 2.7.2 Step 1: The Definition Of A Universe; 2.7.3 Step 2: Neural Logic System; 2.7.4 Step 3: Interaction Between Logical System And Non-Logical System; 2.7.5 Step 4: Building The First Order For The First Order Neural Logic

2.7.6 Step 5: The Theorectical Aspects Of The First Order Neural Logic

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 499-500) and index.

ISBN:

9789814261470

9814261475