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AI - a Guide to Intelligent Systems.pdf - Member of EEPIS

AI - a Guide to Intelligent Systems.pdf - Member of EEPIS

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ACCELERATED LEARNING IN MULTILAYER NEURAL NETWORKS<br />

187<br />

Adapting the learning rate requires some changes in the back-propagation<br />

algorithm. First, the network outputs and errors are calculated from the initial<br />

learning rate parameter. If the sum <strong>of</strong> squared errors at the current epoch exceeds<br />

the previous value by more than a predefined ratio (typically 1.04), the learning<br />

rate parameter is decreased (typically by multiplying by 0.7) and new weights<br />

and thresholds are calculated. However, if the error is less than the previous one,<br />

the learning rate is increased (typically by multiplying by 1.05).<br />

Figure 6.15 represents an example <strong>of</strong> back-propagation training with adaptive<br />

learning rate. It demonstrates that adapting the learning rate can indeed<br />

decrease the number <strong>of</strong> iterations.<br />

Learning rate adaptation can be used <strong>to</strong>gether with learning with momentum.<br />

Figure 6.16 shows the benefits <strong>of</strong> applying simultaneously both techniques.<br />

The use <strong>of</strong> momentum and adaptive learning rate significantly improves the<br />

performance <strong>of</strong> a multilayer back-propagation neural network and minimises<br />

the chance that the network can become oscilla<strong>to</strong>ry.<br />

Neural networks were designed on an analogy with the brain. The brain’s<br />

memory, however, works by association. For example, we can recognise a<br />

familiar face even in an unfamiliar environment within 100–200 ms. We can<br />

also recall a complete sensory experience, including sounds and scenes, when we<br />

hear only a few bars <strong>of</strong> music. The brain routinely associates one thing with<br />

another.<br />

Figure 6.15<br />

Learning with adaptive learning rate

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