Optimal Best Match Retrieval

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Optimal Best Match Retrieval
Dennis Shasha
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While the gain is slightly less, the total computation becomes much cheaper. (This may be important if one occasionally needs answers quickly to the best-match problem and then fills in the distance map at leisure. ) We then compared the number of comparisons our heuristic required with the minimum possible. Empiri- cally, our heuristic was within 20% of the optimum for a database of size 20. This result is encouraging, given the fact that we have no way of knowing a pnori what the best distanc...es to calculate are.
4. 2 Non-Uniformly Distributed Distances To see the effect of non-uniform distribution for distances between objects, we have performed two extremum experiments on maps with densities 1, 0. 5, 0. 01, respectively (they represent complete, half complete and very sparse maps).
'We ran the experiments on several other ranges sj\A obtained similar results. This agrees with our intuition that the distance range should not have any effect on the performance of the algorithms.
11 In the first experiment, we considered databases in wiiich objects are far from one another, but one is very close to the target T.


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