Deep Learning – IIT Ropar Week 1 Assignment Answers

2 months ago
Sanket Kumar
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Deep Learning - IIT Ropar

Deep Learning – IIT Ropar Week 1 Assignment Answers (Jan-Apr 2026)

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  1. Deep Learning – IIT Ropar Week 2

1. What value of θ correctly implements the specified alarm behavior?

  • 1
  • 2
  • 3
  • 4
Answer : c

2. Which of the following sensor activation patterns will result in an alarm signal?
Select all that apply.

  • (1, 1, 1, 0)
  • (0, 1, 1, 1)
  • (1, 0, 0, 1)
  • (1, 1, 1, 1)
  • (0, 0, 1, 1)
Answer : a, b, d

3. Fill the blank with correct answer

The total number of sensor input combinations that trigger the alarm is: _______________

Answer : 5

4. Which of the following statements about the alarm logic are correct?

  • The set of alarm-triggering input patterns is linearly separable
  • The alarm behavior can be implemented using a single threshold unit
  • Exactly half of all possible input combinations result in an alarm
  • Increasing the threshold beyond the chosen value increases resistance to isolated sensor noise
  • The alarm output depends on the sequence in which sensor inputs arrive
Answer : a, b, d

5. If the threshold were incorrectly set to θ=2, which outcome would most likely occur?

  • The alarm would never activate
  • The alarm would activate only when all sensors are active
  • The alarm would activate more frequently, increasing false positives
  • The alarm behavior would become undefined
Answer : c

6. The anchor-pattern mapping in the table corresponds to which logical behavior of(x1,x2) (treating 1 as “high” and 0 as “low”)?

  • AND
  • OR
  • XOR
  • XNOR
Answer : c

7. Can a single linear-threshold classifier of the form w1x1+w2x2+b≥0 correctly classify all four anchor patterns shown?

  • Yes, always
  • Yes, but only if b=0
  • No
  • Yes, but only if w1=w2
Answer : c

8. Suppose the team insists on using a single linear-threshold model and chooses parameters w1=1,w2=1
and b=−1 Which anchor groups will be predicted as y^=1

  • Only G4
  • G2 and G3
  • Only G2
  • G2, G3, and G4
Answer : d

9. Fill in the blank

For the model in the previous question (w1=1,w2=1 and b=−1), how many of the four anchor patterns are classified correctly? _______

Answer : 3

10. A two-unit deterministic system is proposed:
Unit U1 outputs 1 if x1+x2≥1, Unit U2 outputs 1 if x1+x2≥2. Final output is y=1 if U1=1 and U2=0, else y=0

Which anchor inputs will this system classify as y=1?
Select all that apply.

  • (0,0)
  • (0,1)
  • (1,0)
  • (1,1)
Answer : b, c

11. Which logical condition best describes the accept decision specified in the policy?

  • x3∧(x1∨x2∨x4)
  • (x1∧x2)∨(x3∧x4)
  • x3⊕(x1∨x2∨x4)
  • (x1∨x2∨x3∨x4)
Answer : a

12. Why does a single linear-threshold rule fail to implement the specified policy for all inputs?

  • The input dimension is too high
  • The policy induces non-linearly separable input patterns
  • The features are binary
  • The bias term is missing
Answer : b

13. Which of the following input patterns must result in y=1 under the policy? Select all that apply

(Inputs listed as (x1,x2,x3,x4)

  • (0,0,1,1)
  • (1,0,1,0)
  • (0,0,0,1)
  • (0,1,0,0)
  • (0,0,1,0)
Answer : a, b

14. How many distinct input combinations produce y=1 under the stated policy?

  • 3
  • 5
  • 7
  • 9
Answer : c

15. Which of the following statements about the hierarchical design are correct?

  • It decomposes the decision into linearly separable subproblems
  • It can be collapsed into a single equivalent linear-threshold rule
  • It correctly implements the specified policy
  • It increases representational capacity compared to a single stage
  • It requires continuous-valued features
Answer : a, c, d

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