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Code: 13A04805

B.Tech IV Year II Semester (R13) Advanced Supplementary Examinations July 2018

PATTERN RECOGNITION & APPLICATION

(Electronics and Communication Engineering)

Time: 3 hours Max. Marks: 70

PART ? A

(Compulsory Question)

*****

1 Answer the following: (10 X 02 = 20 Marks)

(a) List the various preprocessing steps in pattern recognition.

(b) What is associate memory?

(c) Differentiate between Posterior and Likelihood.

(d) Explain Neyman?Pearson criterion.

(e) What is the difference between PCA and Fisher Linear Discriminant?

(f) Explain the normal distribution along with their sufficient statistics.

(g) Explain the LMS rule or Widrow-Hoff algorithm.

(h) Explain Kesler?s construction.

(i) List the 3 central issues in HMM.

(j) Explain and define dendrogram.

PART ? B

(Answer all five units, 5 X 10 = 50 Marks)

UNIT ? I

2 What is the importance of feature extraction in pattern recognition? Explain the importance of translation,

scale and rotation invariant features.

OR

3 Draw the flow chart of the design cycle and explain each step in detail along with the problems

associated in each step.

UNIT ? II

4

Consider Minimax criterion for the Zero-one loss function, that is, ???? 11

= ???? 22

= 0 and ???? 12

= ???? 21

= 1.

Prove that in this the decision regions will satisfy,

? P(x|w

1

)dx = ? P(x|w

2

)dx

R

2

R

1

OR

5 Consider the three dimensional normal distribution P( x|w

) ~ N ( ?, ? ) where:

1 1 0 0

? = { 2 } and ? = { 0 5 2 }

2 0 2 5

Find the probability density at the point x

0

= (0.5, 0.1)

t

.

UNIT ? III

6 Explain the K-nearest?neighbor rule in pattern classification using examples and neat diagrams including

computational complexity issues.

OR

7

Explain in detail various steps involved in dimensionality reduction using PCA algorithm by taking a

suitable example.

Contd. in page 2

Page 1 of 2

R13

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Code: 13A04805

B.Tech IV Year II Semester (R13) Advanced Supplementary Examinations July 2018

PATTERN RECOGNITION & APPLICATION

(Electronics and Communication Engineering)

Time: 3 hours Max. Marks: 70

PART ? A

(Compulsory Question)

*****

1 Answer the following: (10 X 02 = 20 Marks)

(a) List the various preprocessing steps in pattern recognition.

(b) What is associate memory?

(c) Differentiate between Posterior and Likelihood.

(d) Explain Neyman?Pearson criterion.

(e) What is the difference between PCA and Fisher Linear Discriminant?

(f) Explain the normal distribution along with their sufficient statistics.

(g) Explain the LMS rule or Widrow-Hoff algorithm.

(h) Explain Kesler?s construction.

(i) List the 3 central issues in HMM.

(j) Explain and define dendrogram.

PART ? B

(Answer all five units, 5 X 10 = 50 Marks)

UNIT ? I

2 What is the importance of feature extraction in pattern recognition? Explain the importance of translation,

scale and rotation invariant features.

OR

3 Draw the flow chart of the design cycle and explain each step in detail along with the problems

associated in each step.

UNIT ? II

4

Consider Minimax criterion for the Zero-one loss function, that is, ???? 11

= ???? 22

= 0 and ???? 12

= ???? 21

= 1.

Prove that in this the decision regions will satisfy,

? P(x|w

1

)dx = ? P(x|w

2

)dx

R

2

R

1

OR

5 Consider the three dimensional normal distribution P( x|w

) ~ N ( ?, ? ) where:

1 1 0 0

? = { 2 } and ? = { 0 5 2 }

2 0 2 5

Find the probability density at the point x

0

= (0.5, 0.1)

t

.

UNIT ? III

6 Explain the K-nearest?neighbor rule in pattern classification using examples and neat diagrams including

computational complexity issues.

OR

7

Explain in detail various steps involved in dimensionality reduction using PCA algorithm by taking a

suitable example.

Contd. in page 2

Page 1 of 2

R13

Code: 13A04805

UNIT ? IV

8 Explain the applicability of linear discriminants for Unimodal and Multimodal problems in 2 dimensional

through the following:

(i) Sketch two Multimodal distributions for which a linear discriminant could give excellent or possibally

even the optimal classification accuracy.

(ii) Sketch two Unimodal distributions for which even the best linear discriminant would give poor

classification accuracy.

OR

9 Explain the Descent procedure of Linear discriminant function and explain the algorithm.

UNIT ? V

10 Explain HMM computation using neat diagrams consisting of nodes and transition probabilities.

OR

11 Explain the Nearest?Neighbour algorithm and Farthest Neighbour algorithm using neat diagrams in

detail.

*****

Page 2 of 2

R13

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This post was last modified on 10 September 2020