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

Question 9: Consider a dataset for a binary classification problem in…

Question 9

+2 marksOne or more correct options

Consider a dataset for a binary classification problem in which the labels are in {0,1}\{0,1\}:

x1x_1x2x_2yy
111
−1-111
1−1-10

A perceptron is trained on this dataset using the perceptron learning algorithm starting with the initial weight vector as (0,0)(0,0). Ignore the bias. The data-points are processed in the order in which they appear in the table, from top to bottom. If w\mathbf{w} is the weight vector, use the following rule for prediction:

y^={1,wTx⩾00,wTx<0\hat{y} = \begin{cases} 1, & \mathbf{w}^T\mathbf{x} \geqslant 0 \\ 0, & \mathbf{w}^T\mathbf{x} < 0 \end{cases}

The perceptron converges to w∗=(w1∗,w2∗)\mathbf{w}^* = (w_1^*, w_2^*) after kk updates to the weight vector. Note that the number of iterations of the training loop is not the same as the number of updates to the weight vector.

Based on the above data, answer the given subquestions.

Select all that apply.

  1. A

    (0, 0)

  2. B

    (0, 1)

  3. C

    (−1, 1)

  4. D

    (1, 1)

Show answer

Correct answer

  • C

    (−1, 1)

See the whole paperTake it as a mock test

Question 9 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.

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