Network Inpainting via Optimal Transport
<|reference_start|>Network Inpainting via Optimal Transport: In this work, we present a novel tool for reconstructing networks from corrupted images. The reconstructed network is the result of a minimization problem that has a misfit term with respect to the observed data, and a physics-based regularizing term coming from the theory of optimal transport. Through a range of numerical tests, we demonstrate that our suggested approach can effectively rebuild the primary features of damaged networks, even when artifacts are present.<|reference_end|>
@article{facca2024network,
    title={Network Inpainting via Optimal Transport},
    author={Enrico Facca and Jan Martin Nordbotten and Erik Andreas Hanson},
    journal={arXiv preprint arXiv:2405.13520},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.13520},
    primaryClass={math.NA cs.NA math.OC}
}