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Solving the noisy turnpike and beltway problems

  • The turnpike problem, also known as the partial digest problem, tries to reconstruct the locations of a set of points that lie on a line from their unassigned pairwise diatances.
  • The beltway problem tries to reconstruct the locations of a set of points that lie on a loop from their unassigned pairwise diatances. turnpike_beltway_illustration
  • This package contains code files to implement the approach described in the following paper.
@article{DBLP:journals/corr/abs-1804-02465,
    author    = {Shuai Huang and Ivan Dokmanic},
    title     = {Reconstructing Point Sets from Distance Distributions},
    journal   = {CoRR},
    volume    = {abs/1804.02465},
    year      = {2018},
    url       = {http://arxiv.org/abs/1804.02465},
    archivePrefix = {arXiv},
    eprint    = {1804.02465},
    timestamp = {Mon, 13 Aug 2018 16:47:54 +0200},
    biburl    = {https://dblp.org/rec/bib/journals/corr/abs-1804-02465},
    bibsource = {dblp computer science bibliography, https://dblp.org}
}

If you use this package and find it helpful, please cite the above paper. Thanks 😄

Summary

    ./turnpike          -- This folder contains files and instructions to solve the turnpike problem.
    ./partial_digestion -- This folder contains files and instructions to run the partial digestion experiment.
    ./beltway           -- This folder contains files and instructions to solve the beltway problem.
    ./monte_carlo       -- Thi folder contains files and instructions to run the Monte Carlo simulations.

Usage

Please open each folder for detailed instructions 😄

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