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Consider a Perceptron with 3 inputs, 1,2,x.3, and one output unit that uses a linear threshold unit (LTU) as its activation function. Assume initial weights
Consider a Perceptron with 3 inputs, 1,2,x.3, and one output unit that uses a linear threshold unit (LTU) as its activation function. Assume initial weights wl =0.2,w2=0.7,w3=0.9. learning rate 0.2, and bias w4 =0.7 (and the LTU itself uses a fixed threshold value of 0 ). Hence we have: a. Given the inputs x11,x20,x31, what is the output of this Perceptron? Show your work. [5 pts] b. What are the four updated weights' waleses after applying the Perceptron Learning Rule with the above input and teacher output o? Show your work. [5 pts] c. Can a Perceptron that uses a fued threshold rulae of 0 and mo exira input with a hias weight learn the "AND" function of 3 binary inputs? That is, if all 3 inputs are is, the output is 1; otherwise the output is 0 . If so, construct ons; if not, explain why there is none. [ 5 pts] d. A 2-layer feed-forward neural network with 5 input units, 3 hidden units and 2 output units contains how many weights? (Include buases.) Show your work. [5 pts]
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