A 3-input neuron is trained to output a zero when the input is 110 and a one when the input is 111. After generalization, the output will be zero when and only when the input is? A. 000 or 110 or 011 or 101 B. 010 or 100 or 110 or 101 C. 000 or 010 or 110 or 100 D. 100 or 111 or 101 or 001

[amp_mcq option1=”000 or 110 or 011 or 101″ option2=”010 or 100 or 110 or 101″ option3=”000 or 010 or 110 or 100″ option4=”100 or 111 or 101 or 001″ correct=”option3″]

The correct answer is $\boxed{\text{C. }000 \text{ or }010 \text{ or }110 \text{ or }100}$.

After generalization, the output of a neuron will be the same for all inputs that are similar to the inputs it was trained on. In this case, the neuron was trained to output a zero when the input is 110 and a one when the input is 111. Therefore, after generalization, the output will be zero when the input is any of the following:

  • 000: This input is similar to 110 because they both have two zeros and one one.
  • 010: This input is similar to 110 because they both have one zero and two ones.
  • 110: This input is the same as the input that the neuron was trained on.
  • 100: This input is similar to 110 because they both have one zero and two ones.

The output will be one when the input is any of the following:

  • 111: This input is the same as the input that the neuron was trained on.

Any other input will result in an output that is somewhere between zero and one, depending on how similar the input is to the inputs that the neuron was trained on.

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