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@ARTICLE{Ghanem:1002263,
      author       = {Ghanem, Khaldoon and Koch, Erik},
      title        = {{C}onnecting {T}ikhonov regularization to the maximum
                      entropy method for the analytic continuation of quantum
                      {M}onte {C}arlo data},
      journal      = {Physical review / B},
      volume       = {107},
      number       = {8},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2023-01245},
      pages        = {085129},
      year         = {2023},
      note         = {12 pages, 10 figures},
      abstract     = {Analytic continuation is an essential step in extracting
                      information about the dynamical properties of physical
                      systems from quantum Monte Carlo (QMC) simulations.
                      Different methods for analytic continuation have been
                      proposed and are still being developed. This paper explores
                      a regularization method based on the repeated application of
                      Tikhonov regularization under the discrepancy principle. The
                      method can be readily implemented in any linear algebra
                      package and gives results surprisingly close to the maximum
                      entropy method (MaxEnt). We analyze the method in detail and
                      demonstrate its connection to MaxEnt. In addition, we
                      provide a straightforward method for estimating the noise
                      level of QMC data, which is helpful for practical
                      applications of the discrepancy principle when the noise
                      level is not known reliably.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2212.05475},
      howpublished = {arXiv:2212.05475},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2212.05475;\%\%$},
      UT           = {WOS:000944158700002},
      doi          = {10.1103/PhysRevB.107.085129},
      url          = {https://juser.fz-juelich.de/record/1002263},
}