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Why does the memory saving of sparse matrices depend on the sparsity pattern, not just the number of zeros?

hard📝 Conceptual Q10 of 15
SciPy - Sparse Matrices (scipy.sparse)
Why does the memory saving of sparse matrices depend on the sparsity pattern, not just the number of zeros?
ABecause storage also includes indices of non-zero elements
BBecause zeros are compressed differently based on pattern
CBecause sparse matrices store zeros in blocks
DBecause sparse matrices convert zeros to ones internally
Step-by-Step Solution
Solution:
  1. Step 1: Understand sparse matrix storage

    Sparse matrices store non-zero values and their row/column indices, so index storage depends on pattern.
  2. Step 2: Analyze impact of sparsity pattern

    If non-zero elements are clustered, indices can be stored more efficiently; if scattered, index storage grows.
  3. Final Answer:

    Because storage also includes indices of non-zero elements -> Option A
  4. Quick Check:

    Memory depends on values + indices stored [OK]
Quick Trick: Sparse memory depends on non-zero values and their indices [OK]
Common Mistakes:
MISTAKES
  • Ignoring index storage cost
  • Assuming zeros are compressed differently
  • Believing zeros are stored internally

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