CS 587, Introduction into Neural Networks

Assignment II: Associative Networks

Due date: Wednesday, February 23, 2004

1. (10 pts) Given two pattern pairs: (x₁, y₁) and (x₂, y₂) with

,

construct the weight matrix and show convergence starting from the state (recall that an iteration consists of a forward and backward signal presentation):

2. (10 pts) A Hopfield architecture has an energy function and uses the following weight matrix W which has been obtained from storing two bi-polar patterns:

State how these patterns can be retrieved from the matrix. Apply your procedure and determine these patterns. Also show that starting from these patterns and applying the matrix multiplication construction method the matrix W will be found.