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Dear Wei, Liu, Ling and Su,
Reading the Discussion chapter of your paper, we took the freedom to implement a parallelization of CoACD.
We did so by parallelizing part of the Compute problem (each CoACD iteration is perfectly parallelizable) and the merge (the cost matrix computing has been parallelized). We attempted to implement a more complex parallelization system with OpenMP tasks; however, it did not give good results compared to a basic parallelization of the for routines.
The Merge loop has been simplified in order to keep it a single loop.
With empirical tests, we have observed that we achieve speedups from 1.2 to 3.8 for the smaller concavity thresholds.
Please be free to try it out and I would be glad to answer any questions about the implementation.
This work is being contributed by Altheria Solutions.