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Dimensionality Reduction

50 Dimensionality Reduction interview questions

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Dimensionality Reduction Fundamentals


  • 1.

    Can you define dimensionality reduction and explain its importance in machine learning?

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  • 2.

    What are the potential issues caused by high-dimensional data?

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  • 3.

    Explain the concept of the “curse of dimensionality.”

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  • 4.

    How can dimensionality reduction prevent overfitting?

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  • 5.

    What is feature selection, and how is it different from feature extraction?

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  • 6.

    When would you use dimensionality reduction in the machine learning pipeline?

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  • 7.

    Discuss the difference between linear and nonlinear dimensionality reduction techniques.

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  • 8.

    Can dimensionality reduction be reversed? Why or why not?

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Common Techniques for Dimensionality Reduction


  • 9.

    Explain Principal Component Analysis (PCA) and its objectives.

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  • 10.

    How does Linear Discriminant Analysis (LDA) differ from PCA?

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  • 11.

    What is the role of eigenvectors and eigenvalues in PCA?

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  • 12.

    Describe how PCA can be used for noise reduction in data.

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  • 13.

    Explain the kernel trick in Kernel PCA and when you might use it.

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  • 14.

    Discuss the concept of t-Distributed Stochastic Neighbor Embedding (t-SNE).

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  • 15.

    What is the difference between t-SNE and PCA for dimensionality reduction?

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  • 16.

    Explain how the Singular Value Decomposition (SVD) technique is related to PCA.

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  • 17.

    Discuss the role of manifold learning in dimensionality reduction. Give examples like Isomap or Locally Linear Embedding (LLE).

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Algorithm-Specific Questions


  • 18.

    In PCA, how do you decide on the number of principal components to keep?

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  • 19.

    Describe the process of training a model using LDA.

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  • 20.

    What are the limitations of using PCA for dimensionality reduction?

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  • 21.

    How can one interpret the components obtained from a PCA?

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  • 22.

    What are some of the challenges associated with using t-SNE?

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  • 23.

    Discuss the advantages and disadvantages of using Autoencoders for dimensionality reduction.

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  • 24.

    How do you handle missing values when applying PCA?

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Implementation and Practical Considerations


  • 25.

    Describe the steps for feature selection using a tree-based estimator like Random Forest.

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  • 26.

    What cross-validation technique would you use when performing dimensionality reduction?

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  • 27.

    Explain how dimensionality reduction can affect the performance of clustering algorithms.

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  • 28.

    How can you evaluate if dimensionality reduction has preserved the important features of the dataset?

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  • 29.

    What preprocessing steps would you take before applying dimensionality reduction algorithms?

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  • 30.

    How does feature scaling impact the outcome of PCA?

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  • 31.

    Can dimensionality reduction be applied to any machine learning algorithms? If not, explain why.

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Coding Challenges


  • 32.

    Implement PCA on a given dataset using scikit-learn and plot the explained variance ratio.

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  • 33.

    Write a Python function that performs feature selection using Recursive Feature Elimination (RFE).

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  • 34.

    Code a small example to demonstrate the use of LDA for classification.

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  • 35.

    Implement a basic version of an autoencoder for dimensionality reduction using TensorFlow/Keras.

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  • 36.

    Modify a given t-SNE implementation to work more efficiently on a large-scale dataset.

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  • 37.

    Develop a Python script to compare the performance of PCA and LDA on a sample dataset.

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  • 38.

    Create a Python function that uses Factor Analysis for dimensionality reduction on multivariate data.

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  • 39.

    Write a code snippet to perform feature extraction using Non-negative Matrix Factorization (NMF).

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  • 40.

    Use the feature importance provided by a trained ensemble model to reduce the dimensionality of a dataset in Python.

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Case Studies and Scenario-Based Questions


  • 41.

    How would you use dimensionality reduction for a dataset containing thousands of features, such as gene expression data?

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  • 42.

    Discuss your approach to reduce dimensionality for text data before performing sentiment analysis.

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  • 43.

    How could dimensionality reduction be applied effectively when visualizing high-dimensional data?

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  • 44.

    Explain the process you would follow to select features for a predictive model in a marketing dataset.

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  • 45.

    What are some potential pitfalls when applying dimensionality reduction to time-series data?

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Advanced Topics and Research


  • 46.

    Discuss current research topics in the field of dimensionality reduction.

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  • 47.

    Explain how dimensionality reduction techniques can be adapted for large-scale distributed systems.

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  • 48.

    What are the implications of using deep learning-based methods for dimensionality reduction, such as variational autoencoders?

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  • 49.

    How might advancements in quantum computing impact the field of dimensionality reduction?

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  • 50.

    What role do you think dimensionality reduction will play in the future of interpretable machine learning?

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