Dimensionality Reduction in Unsupervised Machine Learning Quiz
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Questions and Answers

What are the objectives of unsupervised machine learning dimensionality reduction?

  • Accuracy, feature selection, model building
  • Overfitting prevention, data preprocessing, model evaluation
  • Efficiency, noise removal, comprehension/visualization (correct)
  • Dimension addition, noise amplification, feature complexity
  • If manual feature selection is needed, what strategy should be employed?

  • Remove features with least variance (correct)
  • Remove features with the most outliers
  • Remove features with highest variance
  • Remove features with missing values
  • In the example provided about MNIST, what happens if approximately 500 features with the least variance are removed and only 300 features are kept?

  • Approximately 50% variance is lost
  • Approximately 10% variance is lost (correct)
  • No variance is lost
  • Approximately 25% variance is lost
  • What is the direction of maximum variance in the context of projecting a point to a basis?

    <p>The direction with the largest spread of data points</p> Signup and view all the answers

    What is the main benefit of dimensionality reduction in unsupervised machine learning?

    <p>Efficiency in storage and computation time</p> Signup and view all the answers

    What is the primary objective of dimensionality reduction in unsupervised machine learning?

    <p>All of the above</p> Signup and view all the answers

    If manual feature selection is required, what strategy should be employed?

    <p>Remove features with least variance</p> Signup and view all the answers

    In the MNIST example, what happens if approximately 500 features with the least variance are removed and only 300 features are kept?

    <p>10% variance is lost</p> Signup and view all the answers

    If we wanted just one feature for a given dataset, what does the 'direction of maximum variance' represent?

    <p>The direction that captures the most variability in the data</p> Signup and view all the answers

    What is the benefit of spectral decomposition in dimensionality reduction?

    <p>All of the above</p> Signup and view all the answers

    Study Notes

    Unsupervised Machine Learning Dimensionality Reduction

    • Objective: Introduction to dimensionality reduction, PCA, and spectral decomposition
    • Reasons for Dimensionality Reduction: Efficiency in storage and computation, removal of noise and irrelevant information, comprehension and visualization of complex situations
    • Strategy for Manual Feature Selection: Remove features with the least variance
    • Example with MNIST dataset: Almost 0.0 variance lost if 300 features with the least variance are removed, 10% variance lost if around 500 features are removed, keeping only 300 features
    • Projection of a point to a basis: Explains the concept of choosing the direction of maximum variance for data
    • Importance of Dimensionality Reduction: Efficiency in storage and computation, removal of noise and irrelevant information, comprehension and visualization of complex situations
    • Strategy for Manual Feature Selection: Remove features with the least variance
    • Example with MNIST dataset: Almost 0.0 variance lost if 300 features with the least variance are removed, 10% variance lost if around 500 features are removed, keeping only 300 features
    • Projection of a point to a basis: Explains the concept of choosing the direction of maximum variance for data

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    Description

    Test your knowledge of dimensionality reduction in unsupervised machine learning with this quiz. Explore topics such as PCA, spectral decomposition, and the objectives of dimensionality reduction. Assess your understanding of strategies for feature selection and the benefits of dimensionality reduction, including efficiency, noise removal, and improved comprehension and visualization of complex data.

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