Jake Mannix created MAHOUT-1197:
-----------------------------------

             Summary: AbstractVector#cross is only appropriately efficient for 
dense vectors
                 Key: MAHOUT-1197
                 URL: https://issues.apache.org/jira/browse/MAHOUT-1197
             Project: Mahout
          Issue Type: Bug
          Components: Math
    Affects Versions: 0.6
            Reporter: Jake Mannix
             Fix For: 0.8


Nobody overrides this implementation:
[code]
  @Override
  public Matrix cross(Vector other) {
    Matrix result = matrixLike(size, other.size());
    for (int row = 0; row < size; row++) {
      result.assignRow(row, other.times(getQuick(row)));
    }
    return result;
  }
[code]

I think you can imagine what kind of performance this has on sparse vectors (k 
non-zeroes) with high cardinality (N) - scales as O(N^2) instead of O(k^2).

I think the right approach is to *not* implement this in AbstractVector at all, 
and force concrete implementations to properly implement it performantly.

Alternatively, killing this method entirely might be appropriate.  If anyone 
was using it (and uses sparse vectors), they'd have complained about this by 
now.

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