[prev] [index] [next]

Why Trees Don't Work (for d > 10)

[Weber and Blott] derive some results on average performance of kNN search:

  • (degeneration)   the complexity of searching via a partitioning scheme tends to O(N) for sufficiently large d

  • (complexity)   for every partitioning scheme, there exists some d such that all blocks are accessed if dimensionality exceeds d

  • (performance)   most data- and space-partitioning schemes perform worse than sequential scan by the time d=10


[prev] [index] [next]