Gujarat Technological UniversitySummer 2026 examination

GTU 3171613 Pattern Recognition Summer 2026 Question Paper & PDF

B.E. · IT Engineering · Semester 7 · Subject code 3171613
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 2:30 PM – 5:00 PM
Questions
5 with internal choice
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14 of 25 questions on this paper were also asked in other years. Each is marked below with the years it appeared.See all 18 repeated 3171613 questions, most asked first

Q.1

14 Marks
(a)
3 marksAsked in 2 of 3 papers
State Bayes Theorem and explain its significance.

Also asked in Summer 2025 Q1b

(b)
4 marksAsked in 2 of 3 papers
Difference between joint probability and conditional probability

Also asked in Winter 2025 Q1a

(c)
7 marks
Explain of Autocorrelation, Cross-Correlation, and spectra in brief.

Q.2

14 Marks
(a)
3 marksAsked in 2 of 3 papers
Explain eigenvalues and eigenvectors in brief.

Also asked in Summer 2025 Q2a

(b)
4 marks
Explain the concept of a discriminant function in classification.
(c)
7 marksAsked in 2 of 3 papers

Explain the steps in “k-means clustering” using a suitable illustration. List out limitations of “k-means clustering”.

Also asked in Summer 2025 Q4b

(c)
7 marksAsked in 2 of 3 papers

Discuss the principles and applications of nonparametric techniques for density estimation, focusing on the K-Nearest Neighbors (K-NN) method. Provide examples of how K-NN can be employed in practice.

Also asked in Summer 2025 Q5b OR

Q.3

14 Marks
(a)
3 marks

Define Maximum-Likelihood Estimation (MLE) in the context of the Gaussian case.

(b)
4 marksAsked in 2 of 3 papers

Describe the key differences between Bayesian estimate and maximum likelihood estimation.

Also asked in Winter 2025 Q3a OR

(c)
7 marksAsked in 2 of 3 papers

Explain Hidden Markov model (HMMs) and its role in the classifier design.

Also asked in Winter 2025 Q2c

(a)
3 marks
Define the criterion function used in K-Means clustering.
(b)
4 marks

Describe the key differences between Maximum a Posteriori (MAP) estimation and Maximum-Likelihood Estimation (MLE).

(c)
7 marksAsked in 2 of 3 papers

Explain the Expectation-Maximization (EM) algorithm in the context of Gaussian Mixture Models (GMMs) and demonstrate how it can be used to estimate the parameters of a GMM.

Also asked in Winter 2025 Q2c OR

Q.4

14 Marks
(a)
3 marks
Describe the main objective of Factor Analysis.
(b)
4 marksAsked in 2 of 3 papers

Explain Fisher Discriminant Analysis (FDA) in the context of supervised dimensionality reduction.

Also asked in Summer 2025 Q3c

(c)
7 marks

Explain in detail the “Principal Component Analysis” method for dimensionality reduction.

(a)
3 marks

Define Principal Component Analysis (PCA) and its purpose in dimensionality reduction.

(b)
4 marks

Compare and contrast eigenvalues and singular vectors as dictionaries for data representation.

(c)
7 marks

Analyze the role of dictionary learning methods, such as factor analysis and non-negative matrix factorization, in capturing latent features and reducing data dimensionality.

Q.5

14 Marks
(a)
3 marks
Define linear discriminant functions and their role in classification.
(b)
4 marksAsked in 3 of 3 papers

State the main idea behind Support Vector Machines (SVM) for binary classification.

Also asked in Winter 2025 Q5c, Summer 2025 Q5a

(c)
7 marksAsked in 3 of 3 papers

Explain Decision Tree learning based on the Classification and Regression Trees (CART) approach with example.

Also asked in Winter 2025 Q5c OR, Summer 2025 Q5c OR

(a)
3 marksAsked in 2 of 3 papers
Define nominal data in the context of pattern classification.

Also asked in Winter 2025 Q5b

(b)
4 marksAsked in 2 of 3 papers

Define Gradient Descent, and how is it used in optimizing linear discriminant functions.

Also asked in Winter 2025 Q4c OR

(c)
7 marksAsked in 2 of 3 papers

Discuss multilayer feed-forward neural networks with neat architecture diagram

Also asked in Summer 2025 Q4c

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About this paper

Official Gujarat Technological University (GTU) examination paper for Pattern Recognition (Summer 2026, B.E. · IT Engineering, Sem 7). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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