Answered Essay: X2 Class 1 Class 2 Class 3 Class 4 4 2

The following figure shows the decision regions of four classes. Design a classifier for these linearly inseparable classes, using a network of M-P neurons with three output units. For class i (1 ≤ i ≤ 3), classification requires that yi = 1, while yj = -1 for j ≠ i; Class 4 is recognized when yi = -1 for 1 ≤ i ≤ 3. (HINT: try a two-layer feedforward network.)

X2 Class 1 Class 2 Class 3 Class 4 4 2

X2 Class 1 Class 2 Class 3 Class 4 4 2

Expert Answer


•Neural Networks (NNs) are networks of neurons, for example, as found in real (i.e. biological) brains.

•Artificial Neurons are crude approximations of the neurons found in brains. They may be physical devices, or purely mathematical constructs.

•Artificial Neural Networks (ANNs) are networks of Artificial Neurons, and hence constitute crude approximations to parts of real brains. They may be physical devices, or simulated on conventional computers.

•From a practical point of view, an ANN is just a parallel computational system consisting of many simple processing elements connected together in a specific way in order to perform a particular task.

•One should never lose sight of how crude the approximations are, and how over-simplified our ANNs are compared to real brains.

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