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You have a large dataset matrix with many features. How can SVD help reduce the dataset size while keeping most information?

hard📝 Application Q8 of 15
SciPy - Linear Algebra (scipy.linalg)
You have a large dataset matrix with many features. How can SVD help reduce the dataset size while keeping most information?
ABy keeping only the top k singular values and corresponding vectors
BBy removing all zero values from the matrix
CBy sorting the matrix rows in descending order
DBy normalizing all values to range 0 to 1
Step-by-Step Solution
Solution:
  1. Step 1: Understand dimensionality reduction with SVD

    SVD allows approximation of original matrix using fewer singular values and vectors.
  2. Step 2: Apply top k singular values concept

    Keeping top k singular values retains most data variance, reducing size effectively.
  3. Final Answer:

    By keeping only the top k singular values and corresponding vectors -> Option A
  4. Quick Check:

    SVD reduces size by top k singular values [OK]
Quick Trick: Top singular values capture most data info [OK]
Common Mistakes:
MISTAKES
  • Removing zeros instead of reducing rank
  • Sorting rows unrelated to SVD
  • Normalizing data is different process

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