COMP9444 Neural Networks
Exercises on Hopfield Networks
- Can the vector [1, 0, –1, 0, 1] be stored in a 5-neuron
discrete Hopfield network? If so, what would be the weight matrix for a
Hopfield network with just that vector stored in it? If not, why not?
-
- Compute the weight matrix for a Hopfield network with the two
memory vectors [1, –1, 1, –1, 1, 1] and
[1, 1, 1, –1, –1, –1] stored in it.
- Confirm that both these vectors are stable states of the
network.
- Consider the following weight matrix W:
| 0.0
| –0.2
| 0.2
| –0.2
| –0.2
|
| –0.2
| 0.0
| –0.2
| 0.2
| 0.2
|
| 0.2
| –0.2
| 0.0
| –0.2
| –0.2
|
| –0.2
| 0.2
| –0.2
| 0.0
| 0.2
|
| –0.2
| 0.2
| –0.2
| 0.2
| 0.0
|
- Starting in the state [1, 1, 1, 1, –1], compute the state flow to
the stable state using asynchronous updates.
- Starting in the (same) state [1, 1, 1, 1, –1], compute the next
state using synchronous updates.
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