Approaches to the implementation of binary relation inference network.

Abstract

by C.W. Tong.Thesis (M.Phil.)--Chinese University of Hong Kong, 1994.Includes bibliographical references (leaves 96-98).Chapter 1 --- Introduction --- p.1Chapter 1.1 --- The Availability of Parallel Processing Machines --- p.2Chapter 1.1.1 --- Neural Networks --- p.5Chapter 1.2 --- Parallel Processing in the Continuous-Time Domain --- p.6Chapter 1.3 --- Binary Relation Inference Network --- p.10Chapter 2 --- Binary Relation Inference Network --- p.12Chapter 2.1 --- Binary Relation Inference Network --- p.12Chapter 2.1.1 --- Network Structure --- p.14Chapter 2.2 --- Shortest Path Problem --- p.17Chapter 2.2.1 --- Problem Statement --- p.17Chapter 2.2.2 --- A Binary Relation Inference Network Solution --- p.18Chapter 3 --- A Binary Relation Inference Network Prototype --- p.21Chapter 3.1 --- The Prototype --- p.22Chapter 3.1.1 --- The Network --- p.22Chapter 3.1.2 --- Computational Element --- p.22Chapter 3.1.3 --- Network Response Time --- p.27Chapter 3.2 --- Improving Response --- p.29Chapter 3.2.1 --- Removing Feedback --- p.29Chapter 3.2.2 --- Selecting Minimum with Diodes --- p.30Chapter 3.3 --- Speeding Up the Network Response --- p.33Chapter 3.4 --- Conclusion --- p.35Chapter 4 --- VLSI Building Blocks --- p.36Chapter 4.1 --- The Site --- p.37Chapter 4.2 --- The Unit --- p.40Chapter 4.2.1 --- A Minimum Finding Circuit --- p.40Chapter 4.2.2 --- A Tri-state Comparator --- p.44Chapter 4.3 --- The Computational Element --- p.45Chapter 4.3.1 --- Network Performances --- p.46Chapter 4.4 --- Discussion --- p.47Chapter 5 --- A VLSI Chip --- p.48Chapter 5.1 --- Spatial Configuration --- p.49Chapter 5.2 --- Layout --- p.50Chapter 5.2.1 --- Computational Elements --- p.50Chapter 5.2.2 --- The Network --- p.52Chapter 5.2.3 --- I/O Requirements --- p.53Chapter 5.2.4 --- Optional Modules --- p.53Chapter 5.3 --- A Scalable Design --- p.54Chapter 6 --- The Inverse Shortest Paths Problem --- p.57Chapter 6.1 --- Problem Statement --- p.59Chapter 6.2 --- The Embedded Approach --- p.63Chapter 6.2.1 --- The Formulation --- p.63Chapter 6.2.2 --- The Algorithm --- p.65Chapter 6.3 --- Implementation Results --- p.66Chapter 6.4 --- Other Implementations --- p.67Chapter 6.4.1 --- Sequential Machine --- p.67Chapter 6.4.2 --- Parallel Machine --- p.68Chapter 6.5 --- Discussion --- p.68Chapter 7 --- Closed Semiring Optimization Circuits --- p.71Chapter 7.1 --- Transitive Closure Problem --- p.72Chapter 7.1.1 --- Problem Statement --- p.72Chapter 7.1.2 --- Inference Network Solutions --- p.73Chapter 7.2 --- Closed Semirings --- p.76Chapter 7.3 --- Closed Semirings and the Binary Relation Inference Network --- p.79Chapter 7.3.1 --- Minimum Spanning Tree --- p.80Chapter 7.3.2 --- VLSI Implementation --- p.84Chapter 7.4 --- Conclusion --- p.86Chapter 8 --- Conclusions --- p.87Chapter 8.1 --- Summary of Achievements --- p.87Chapter 8.2 --- Future Work --- p.89Chapter 8.2.1 --- VLSI Fabrication --- p.89Chapter 8.2.2 --- Network Robustness --- p.90Chapter 8.2.3 --- Inference Network Applications --- p.91Chapter 8.2.4 --- Architecture for the Bellman-Ford Algorithm --- p.91Bibliography --- p.92Appendices --- p.99Chapter A --- Detailed Schematic --- p.99Chapter A.1 --- Schematic of the Inference Network Structures --- p.99Chapter A.1.1 --- Unit with Self-Feedback --- p.99Chapter A.1.2 --- Unit with Self-Feedback Removed --- p.100Chapter A.1.3 --- Unit with a Compact Minimizer --- p.100Chapter A.1.4 --- Network Modules --- p.100Chapter A.2 --- Inference Network Interface Circuits --- p.100Chapter B --- Circuit Simulation and Layout Tools --- p.107Chapter B.1 --- Circuit Simulation --- p.107Chapter B.2 --- VLSI Circuit Design --- p.110Chapter B.3 --- VLSI Circuit Layout --- p.111Chapter C --- The Conjugate-Gradient Descent Algorithm --- p.113Chapter D --- Shortest Path Problem on MasPar --- p.11