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Shell Fragment Cubes: Size and Design

  • Given a database of T tuples, D dimensions, and F shell fragment size, the fragment cubes’ space requirement is:
    \[ O\left ( T\left \lceil \frac{D}{F} \right \rceil(2^{F}-1) \right ) \]  
    • For F < 5, the growth is sub-linear
  • Shell fragments do not have to be disjoint
  • Fragment groupings can be arbitrary to allow for maximum online performance
    • Known common combinations (e.g., ) should be grouped together.
  • Shell fragment sizes can be adjusted for optimal balance between offline and online computation 

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