Quiz Space

Deep Learning · Quiz 1 · 23 Feb 2025 · January 2025 term

Question 6: Consider a perceptron for a binary classification task. T…

Question 6

+2 marksNumerical answer

Consider a perceptron for a binary classification task. There are four features each of which is binary. The dataset has 16 data-points. The feature vector for no two data-points is the same. The weight vector is w = (1, 1,−1,−1). Ignore the bias.

If the number of misclassifications is zero on this dataset, answer the given subquestions.

Find the number of data-points in the dataset that have true label 0.

Show answer

Correct answer: 5

See the whole paperTake it as a mock test

Question 6 of 21 in the IIT Madras BS Deep Learning (Deep Learning) Quiz 1 paper sat on 23 Feb 2025, in the January 2025 term (IIT M DEGREE AN EXAM QDB2 23 Feb 2025). It carries 2 marks.

More questions from this paper

  1. Q1Which of the following statements correctly distinguishes between Momentum Optimizer and Nesterov Accelerated Momentum …
  2. Q2Which of the functions given below has the steepest slope at the point x = 1?
  3. Q3Figure question
  4. Q4Consider a network trained on a dataset of 5000 data-points using mini-batch gradient descent with a batch size of 50. …
  5. Q5Consider a perceptron for a binary classification task. There are four features each of which is binary. The dataset ha…
  6. Q7Based on the above data, answer the given subquestions.
  7. Q8Based on the above data, answer the given subquestions.
  8. Q9Consider a dataset for a binary classification problem in which the labels are in {0,1}: | x_1 | x_2 | y | |---|---|---…
  9. Q10Consider a dataset for a binary classification problem in which the labels are in {0,1}: | x_1 | x_2 | y | |---|---|---…
  10. Q11Consider a dataset for a binary classification problem in which the labels are in {0,1}: | x_1 | x_2 | y | |---|---|---…
  11. Q12Consider a sigmoid neuron that takes in an input vector \mathbf{x} = \begin{bmatrix} 1 \ 0.5 \ 1 \end{bmatrix}. The wei…
  12. Q13Consider a sigmoid neuron that takes in an input vector \mathbf{x} = \begin{bmatrix} 1 \ 0.5 \ 1 \end{bmatrix}. The wei…
  13. Q14Consider a sigmoid neuron that takes in an input vector \mathbf{x} = \begin{bmatrix} 1 \ 0.5 \ 1 \end{bmatrix}. The wei…
  14. Q15Consider a sigmoid neuron that takes in an input vector \mathbf{x} = \begin{bmatrix} 1 \ 0.5 \ 1 \end{bmatrix}. The wei…
  15. Q16What is the value of the output of the first sigmoid neuron in the first hidden layer (i.e. h11). (Answer correct upto …
  16. Q17What is the value of the output of the first sigmoid neuron in the second hidden layer (i.e. h21) (Answer correct upto …
  17. Q18What is the value of the output of the first neuron in the third or output layer with the softmax activation function (…
  18. Q19What is the value of the cross entropy loss? (use natural log). (Answer correct upto two digits after the decimal)
  19. Q20Based on the above data, answer the given subquestions.
  20. Q21Based on the above data, answer the given subquestions.