Model Selection, Cross-Validation and Performance Metrics Previous Year Questions (PYQs) for GATE DA: 2+ Solved Questions with Step-by-Step Solutions

    Solve 2+ Model Selection, Cross-Validation and Performance Metrics previous year questions for GATE DA with answers and detailed solutions. Free sample questions below.

    Cross-Validation and Model Selection

    Cross-Validation and Model Selection

    A model that memorizes training data is useless. You need reliable estimates of real-world performance and principled ways to choose between competing models.

    What you will learn here

    • Mechanics of hold-out, k-fold, and leave-one-out cross-validation
    • How to compute the number of validation splits for any setup
    • Model selection strategies that avoid information leakage
    • Bias-variance tradeoffs in different validation schemes
    Chapter context: Supervised Learning → Model Selection, Cross-Validation and Performance Metrics

    Why Cross-Validation Exists

    The Core Problem

    Training accuracy is misleading. A complex model can achieve perfect training accuracy by memorizing noise, but fail completely on new data.

    What you need

    • An unbiased estimate of generalization performance
    • A way to use limited data efficiently
    • Protection against overfitting to a particular train-test split

    The solution: Systematically partition your data so the model is trained on one subset and evaluated on a held-out subset it never saw.

    Model Selection, Cross-Validation and Performance Metrics: Solved Questions with Step-by-Step Explanations (2 Problems)

    Question 1 · Machine Learning MCQ
    Consider that you are training a classifier for a 10-class classification problem. Each input is represented as a 512-dimensional vector. There are 1000 samples, out of which first 100 will be used for testing. Let Leave-One-Out-Cross-Validation (LOOCV) be used for selection of the classifier model before testing.
    Which of the following options is the correct number of validation splits that will be generated?
    1. A.

      10

    2. B.

      512

    3. C.

      900

    4. D.

      1000

    Question 2 · Machine Learning MSQ
    Consider that 20 stories of Author X and 10 stories of Author Y were kept together without mentioning the names of the authors. A classifier was then asked to predict the author (X or Y) of each of these stories. Let, out of X’s stories, 6 were classified as that of Y. On the other hand, out of Y’s stories, 2 were classified as that of X.

    Considering X and Y as two classes, which of the following statements is/are true?
    1. A.

      Accuracy of the classifier is 11/15.

    2. B.

      Precision of Class X is higher than the Precision of Class Y.

    3. C.

      Recall of Class X is higher than the Recall of Class Y.

    4. D.

      Accuracy of the classifier is 14/15.

    More previous year questions (pyqs) in this unit

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    Model Selection, Cross-Validation and Performance Metrics Previous Year Questions (PYQs) for GATE DA: 2+ Solved Questions with Step-by-Step Solutions

    Solve 2+ Model Selection, Cross-Validation and Performance Metrics previous year questions for GATE DA with answers and detailed solutions. Free sample questi

    A question from this chapter

    Question 1
    Consider that you are training a classifier for a 10-class classification problem. Each input is represented as a 512-dimensional vector. There are 1000 samples, out of which first 100 will be used for testing. Let Leave-One-Out-Cross-Validation (LOOCV) be used for selection of the classifier model before testing.
    Which of the following options is the correct number of validation splits that will be generated?
    Question 2
    Consider that 20 stories of Author X and 10 stories of Author Y were kept together without mentioning the names of the authors. A classifier was then asked to predict the author (X or Y) of each of these stories. Let, out of X’s stories, 6 were classified as that of Y. On the other hand, out of Y’s stories, 2 were classified as that of X.

    Considering X and Y as two classes, which of the following statements is/are true?
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