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Obstructions to Sampling Qualitative Properties

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  • Arne C Reimers

Abstract

Background: Sampling methods have proven to be a very efficient and intuitive method to understand properties of complicated spaces that cannot easily be computed using deterministic methods. Therefore, sampling methods became a popular tool in the applied sciences. Results: Here, we show that sampling methods are not an appropriate tool to analyze qualitative properties of complicated spaces unless RP = NP. We illustrate these results on the example of the thermodynamically feasible flux space of genome-scale metabolic networks and show that with artificial centering hit and run (ACHR) not all reactions that can have variable flux rates are sampled with variables flux rates. In particular a uniform sample of the flux space would not sample the flux variabilities completely. Conclusion: We conclude that unless theoretical convergence results exist, qualitative results obtained from sampling methods should be considered with caution and if possible double checked using a deterministic method.

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  • Arne C Reimers, 2015. "Obstructions to Sampling Qualitative Properties," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-13, August.
    • Handle: RePEc:plo:pone00:0135636
    DOI: 10.1371/journal.pone.0135636
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