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Let denote the output of the two units in the hidden layer corresponding to the input respectively,
i.e. Consider the set . Assume that f is the linear activation function given by . For which of the
following values of weights would the set be linearly separable? (Select all that apply.)
Linear Separability After First Layer 1 point possible (graded) For this problem, let us focus on a
network with one hidden layer and two units in that layer: Let f1(i),f2(i) denote the output of the two
units in the hidden layer corresponding to the input x(i) respectively, i.e. f1(i)=f(w01+(w11x1(i)+w
21x2(i)))f2(i)=f(w02+(w12x1(i)+w22x2(i))) Consider the set D={([f1(i),f2(i)],y(i)),i=1,2,3,4} Assume
that f is the linear activation function given by f(z)=2z3. For which of the following values of
weights would the set D be linearly separable? (Select all that apply.) w11=w21=0,w12=w22=0,w
01=w02=0w11=w21=2,w12=w22=2,w01=w02=1w11=w21=2,w12=w22=2,w01=w02=1 None of the
above You have used 0 of 2 attempts

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Let denote the output of the two units in the hidden layer c.pdf

  • 1. Let denote the output of the two units in the hidden layer corresponding to the input respectively, i.e. Consider the set . Assume that f is the linear activation function given by . For which of the following values of weights would the set be linearly separable? (Select all that apply.) Linear Separability After First Layer 1 point possible (graded) For this problem, let us focus on a network with one hidden layer and two units in that layer: Let f1(i),f2(i) denote the output of the two units in the hidden layer corresponding to the input x(i) respectively, i.e. f1(i)=f(w01+(w11x1(i)+w 21x2(i)))f2(i)=f(w02+(w12x1(i)+w22x2(i))) Consider the set D={([f1(i),f2(i)],y(i)),i=1,2,3,4} Assume that f is the linear activation function given by f(z)=2z3. For which of the following values of weights would the set D be linearly separable? (Select all that apply.) w11=w21=0,w12=w22=0,w 01=w02=0w11=w21=2,w12=w22=2,w01=w02=1w11=w21=2,w12=w22=2,w01=w02=1 None of the above You have used 0 of 2 attempts