Figure 1
If the following pattern was given
What would be the output of the network?
| (a) | |
| (b) | ![]() |
| (c) | ![]() |
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1. The answer is (a).
The network of figure 1, is a single layer feed-forward neural network because there is only one neuron between any input and
output. The network is not autoassociative i.e. doesn't have feedback because there are no loops in it.
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2. The answer is (c).
The truth table before generalisation is:
| Inputs | Output |
| 000 | $ |
| 001 | $ |
| 010 | $ |
| 011 | $ |
| 100 | $ |
| 101 | $ |
| 110 | 0 |
| 111 | 1 |
where $ represents don't know cases and the output is random.
After generalisation, the truth table becomes:
| Inputs | Output |
| 000 | 0 |
| 001 | 1 |
| 010 | 0 |
| 011 | 1 |
| 100 | 0 |
| 101 | 1 |
| 110 | 0 |
| 111 | 1 |
Therefore, the output will be zero when the input is 000 or 010 or 110 or 100
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3. The answer is (a).
The perceptron is a single layer feed-forward neural network. It is not an autoassociative network because it has no feedback
and is not a multiple layer neural network because the preprocessing stage is not made of neurons.
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4. The answer is (b).
An autoassociative network is equivalnet to a neural network that conatins feedback. The number of feedback paths(loops) does
not have to be one.
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5. The answer is (b).
The output is found by multipling the weights with their respective inputs, summing the results and multipling with the trasfer
function. Therefore:
Output = 2 * (1*4 + 2*10 + 3*5 + 4*20) = 238
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6. The answer is (a)
Neural networks have higher computational rates than conventional computers because a lot of the operation is done in parallel.
Note: that is not the case when the neural network is simulated on a computer. The idea behind neural nets is based on the way
the human brain works. Neural nets cannot be programmed, they cam only learn by examples.
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7. The answer is (c).
The training time depends on the size of the network; the number of neuron is greater and therefore the the number of possible
'states' is increased. Neural networks can be simulated on a conventional computer but the main advantage of neural networks -
parallel execution - is lost. Artificial neurons are not identical in operation to the biological ones. We don't know yet what the real
neurons do in detail.
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8. The answer is (c).
Neural networks learn by example.
They are more fault tolerant because they are always able to respond and small changes in input do not normally cause a change
in output.
Because of their parallel architecture, high computational rates are achived.
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9. The answer is (a).
Pattern recognition is what single layer neural networks are best at but they don't have the ability to find the parity of a picture or
to determine whether two shapes are connected or not.
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10. The answer is (b).
The top square of the output is black because the top pattern differs in two squares from a T and in 3 squares from an H.
The middle square is not defined because the middle row of the input defers the same amount from both T and H(differs in 1).
Therefore, the output can be either black or white.
The bottom square is black because it differs from a T and in 2 from an H.
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References:
1. Prof Aleksander books and articles.