Code: 105602Computer Science & Eng.6th Semester4 Examination Papers

Machine Learning

Official Bihar Engineering University examination question papers, marks distribution, and questions transcript. Available exam sessions: 2026, 2025, 2023, 2022.

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Official Exam Paper TranscriptB.Tech 6th Semester Examination, 2026
Bihar Engineering University, Patna
B.Tech 6th Semester Exam., 2026

Machine Learning

Time: 03 HoursCode: 105602Semester: VIFull Marks: 70

Instructions:

  1. The marks are indicated in the right-hand margin.
  2. There are NINE questions in this paper.
  3. Attempt FIVE questions in all.
  4. Question No. 1 is compulsory.
Q.1 Choose the correct option / answer the following (Any seven questions only):[2 x 7 = 14]
  1. A model has 98% training accuracy and 72% test accuracy. Which of the following is the most likely explanation?

    1. High bias
    2. Overfitting
    3. Underfitting
    4. Insufficient features
  2. Which statement about hypothesis space is correct?

    1. A larger hypothesis space always gives better generalization
    2. Hypothesis space is unrelated to inductive bias
    3. A smaller hypothesis space always gives lower training error
    4. A larger hypothesis space can increase the risk of overfitting
  3. Ridge regression primarily uses which penalty?

    1. L0
    2. L2
    3. L1
    4. Entropy
  4. During backpropagation, the main purpose of propagating the error backward is to

    1. Generate new training data
    2. Normalize the input
    3. Remove hidden layers
    4. Compute gradients for updating network weights
  5. LDA generally assumes that different classes have

    1. Different covariance matrices
    2. No covariance
    3. The same covariance matrix
    4. Identical means
  6. If the p-value is smaller than the significance level α, we generally

    1. Reject H0
    2. Accept H0
    3. Increase α automatically
    4. Reject H1
  7. AdaBoost primarily focuses subsequent learners on

    1. Randomly selected features only
    2. Previously misclassified or difficult observations
    3. Only correctly classified observations
    4. Unlabelled observations
  8. K-medoids differs from K-means because K-medoids uses

    1. An actual data point as the cluster representative
    2. The mean of all clusters
    3. A randomly generated point
    4. Eigenvectors
  9. A dataset contains two elongated, non-spherical clusters. Which method is generally more appropriate than standard K-means?

    1. K-means
    2. Linear regression
    3. Density-based clustering
    4. Naive Bayes
  10. In the E-step of EM, we primarily

    1. Update model parameters
    2. Remove missing data
    3. Estimate the latent-variable responsibilities
    4. Calculate classification accuracy
Q.2 Solve both questions :[7 x 2 = 14]
  1. Explain the bias–variance trade-off and discuss how model complexity affects underfitting and overfitting.

  2. Explain the basic concepts of Reinforcement Learning. Also explain the exploration–exploitation trade-off and the role of the ε-greedy strategy.

Q.3 Solve both questions :[7 x 2 = 14]
  1. A test is applied to 1000 patients: 200 are sick, and 800 are healthy. It correctly detects 160 sick patients, while 40 healthy patients test positive. Construct the confusion matrix and calculate accuracy, precision, recall, and F1-score.

  2. The following data shows the hours studied (X) and marks obtained (Y) by 6 students:

    X235689
    Y505565708085

    Find the regression equation of Y on X and predict the marks for a student who studies 7 hours.

Q.4 Solve both questions :[7 x 2 = 14]
  1. Explain Principal Component Analysis. Describe the steps involved in transforming the original features into principal components.

  2. Explain Bayesian Learning in detail. Discuss Maximum Likelihood, Maximum A Posteriori and Bayes estimation, and explain the role of conjugate priors with suitable examples.

Q.5 Solve both questions :[7 x 2 = 14]
  1. Explain the Perceptron learning algorithm. Describe the weight and bias update rules and illustrate the algorithm with a suitable example.

  2. Explain Support Vector Machines. Discuss the concept of maximum-margin hyperplane, support vectors, and soft margin.

Q.6 Solve both questions :[7 x 2 = 14]
  1. Using the ID3 algorithm, construct a decision tree for the given dataset.

    OutlookTemperatureHumidityWindPlay
    SunnyHotHighWeakNo
    SunnyMildHighStrongNo
    OvercastHotHighWeakYes
    RainMildHighWeakYes
    RainCoolNormalWeakYes
    RainCoolNormalStrongNo
    OvercastCoolNormalStrongYes
    SunnyCoolNormalWeakYes
    SunnyMildNormalWeakYes
    RainMildNormalWeakYes
  2. Given the following 2D points: A(1,1), B(1,2), C(2,1), D(2,2), E(8,8), F(8,9), G(9,8), H(15,15). Using DBSCAN with ε = 1.5 and MinPts = 3, identify the core, border and noise points and determine the clusters.

Q.7 Solve both questions :[7 x 2 = 14]
  1. Explain ensemble learning and its motivation. Why can combining multiple weak or unstable learners improve prediction performance?

  2. Explain the Random Forest algorithm. Discuss the role of bootstrap samples and random feature selection.

Q.8 Solve both questions :[7 x 2 = 14]
  1. Explain the complete K-means algorithm. Discuss its objective function, convergence criterion, and major limitations.

  2. Explain hierarchical clustering. Differentiate between agglomerative and divisive approaches and explain how a dendrogram is constructed.

Q.9 Write a short note on any two of the following:[7 x 2 = 14]
  1. Q-Learning

  2. Bayesian Networks

  3. Naive Bayes classifier

  4. Bagging and Boosting

Related Official Syllabus

Machine Learning

105602

Official BEU curriculum units & topics for this examination subject.

Unit 1.0: Introduction

Basic definitions • Linear Algebra • Statistical learning theory • Types of learning • Hypothesis space and Inductive bias • Evaluation and cross validation • Optimization

Unit 2.0: Statistical Decision Theory and Bayesian Learning

Statistical Decision Theory • Bayesian Learning (ML, MAP, Bayes estimates, Conjugate priors) • Linear Regression • Ridge Regression • Lasso • Principal Component Analysis • Partial Least Squares

Unit 3.0: Linear Classification and Advanced Methods

Linear Classification • Logistic Regression • Linear Discriminant Analysis • Quadratic Discriminant Analysis • Perceptron • Support Vector Machines + Kernels • Artificial Neural Networks + Back Propagation • Decision Trees • Bayes Optimal Classifier • Naive Bayes

Unit 4.0: Hypothesis Testing and Ensemble Methods

Hypothesis testing • Ensemble Methods • Bagging • Adaboost • Gradient Boosting

Unit 5.0: Clustering

Clustering • K-means • K-medoids • Density-based Hierarchical • Spectral

View Complete 6th Semester Syllabus

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