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@ARTICLE{Shi:644957,
      author       = {Shi, Kehan and Burger, Martin},
      title        = {{H}ypergraph p-{L}aplacian {E}quations for {D}ata
                      {I}nterpolation and {S}emi-supervised {L}earning},
      journal      = {Journal of scientific computing},
      volume       = {103},
      number       = {3},
      issn         = {0885-7474},
      address      = {New York, NY [u.a.]},
      publisher    = {Springer Science + Business Media B.V.},
      reportid     = {PUBDB-2026-00500},
      pages        = {93},
      year         = {2025},
      abstract     = {Hypergraph learning with p-Laplacian regularization has
                      attracted a lot of attention due to its flexibility in
                      modeling higher-order relationships in data. This paper
                      focuses on its fast numerical implementation, which is
                      challenging due to the non-differentiability of the
                      objective function and the non-uniqueness of the minimizer.
                      We derive a hypergraph p-Laplacian equation from the
                      subdifferential of the p-Laplacian regularization. A
                      simplified equation that is mathematically well-posed and
                      computationally efficient is proposed as an alternative.
                      Numerical experiments verify that the simplified p-Laplacian
                      equation suppresses spiky solutions in data interpolation
                      and improves classification accuracy in semi-supervised
                      learning. The remarkably low computational cost enables
                      further applications.},
      cin          = {FS-CI},
      ddc          = {004},
      cid          = {I:(DE-H253)FS-CI-20230420},
      pnm          = {623 - Data Management and Analysis (POF4-623)},
      pid          = {G:(DE-HGF)POF4-623},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1007/s10915-025-02908-y},
      url          = {https://bib-pubdb1.desy.de/record/644957},
}