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Hybridizing Non-dominated Sorting Algorithms: Divide-and-Conquer Meets Best Order Sort | | Margarita Markina
; Maxim Buzdalov
; | | Date: |
13 Apr 2017 | | Abstract: | Many production-grade algorithms benefit from combining an asymptotically
efficient algorithm for solving big problem instances, by splitting them into
smaller ones, and an asymptotically inefficient algorithm with a very small
implementation constant for solving small subproblems. A well-known example is
stable sorting, where mergesort is often combined with insertion sort to
achieve a constant but noticeable speed-up.
We apply this idea to non-dominated sorting. Namely, we combine the
divide-and-conquer algorithm, which has the currently best known asymptotic
runtime of $O(N (log N)^{M - 1})$, with the Best Order Sort algorithm, which
has the runtime of $O(N^2 M)$ but demonstrates the best practical performance
out of quadratic algorithms.
Empirical evaluation shows that the hybrid’s running time is typically not
worse than of both original algorithms, while for large numbers of points it
outperforms them by at least 20%. For smaller numbers of objectives, the
speedup can be as large as four times. | | Source: | arXiv, 1704.4205 | | Services: | Forum | Review | PDF | Favorites | |
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