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Extra info for Best of Business Card Design 7
Obscurance value 1 means that the patch is fully open, 0 - fully closed (this may happen only in the degenerate cases). Typical obscurance values for different patches are illustrated on Figure 2. As follows from its definition, patch obscurance resembles patch's average form-factor (see Section 5). From the equations (2) and (3) we conclude that the intensity in point P can be computed as follows: f(P) = fA * w(P). (4) The equation (4) actually determines the illmnination model working in the absence of light sources.
A neural network with too many hidden units will tend to overfit the data presented. Overfitting is a dangerous problem; although the sample values may appear to be adequately represented the network may vary rapidly between samples, thus violating both reciprocity and energy conservation. By using a minimum number of hidden units together with a sufficiently large sample set (on the order of tens of thousands of samples) we minimise the risk of overfitting. During training we have found the following ideas useful: • We begin with a large sample set and relatively small network, typically a single hidden layer network with 5 hidden units.
6 This is based on the evidence presented by Kung . He claims that most real world data is best approximated using two or three layers in the network. 30 In general we begin training with a gross underestimation of the number of units required and gradually repeat the training with more and more units until. a satisfactory RMS error has been reached. The motivation for this is well founded. A neural network with too many hidden units will tend to overfit the data presented. Overfitting is a dangerous problem; although the sample values may appear to be adequately represented the network may vary rapidly between samples, thus violating both reciprocity and energy conservation.