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Prove mathematically (not graphically) that the following problem is unsolvable for a two-input/single-neuron perceptron.

We have four categories of vectors.i. Design a two-neuron perceptron network (single layer) to recognize these four categories of vectors. Sketch the decision boundaries. ii. Draw the network...

We have two categories of vectors. Category I consists ofCategory II consists ofi. Design a single-neuron perceptron network to recognize these two categories of vectors.ii. Draw the network...

We want to train a perceptron network with the following training set:The initial weight matrix and bias arei. Plot the initial decision boundary, weight vector and input patterns. Which patterns...

We want to train a perceptron network using the following training set:starting from the initial conditionsi. Sketch the initial decision boundary, and show the weight vector and the three training...

The symmetric hard limit function is sometimes used in perceptron networks, instead of the hard limit function. Target values are then taken from the set [-1, 1] instead of [0, 1].i. Write a simple...