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pro vyhledávání: '"P, Plato"'
In this article we present a system of coupled non-linear PDEs modeling an anisotropic electrokinetic flow. We show the existence of suitable weak solutions in three spatial dimensions, that is weak solutions which fulfill an energy inequality, via a
Externí odkaz:
http://arxiv.org/abs/2407.19713
In this article on variational regularization for ill-posed nonlinear problems, we are once again discussing the consequences of an oversmoothing penalty term. This means in our model that the searched-for solution of the considered nonlinear operato
Externí odkaz:
http://arxiv.org/abs/2305.00232
Numerical differentiation of a function, contaminated with noise, over the unit interval $[0,1] \subset \mathbb{R}$ by inverting the simple integration operator $J:L^2([0,1]) \to L^2([0,1])$ defined as $[Jx](s):=\int_0^s x(t) dt$ is discussed extensi
Externí odkaz:
http://arxiv.org/abs/2303.14473
Autor:
Klinkhammer, Chantal, Plato, Robert
We study the application of Tikhonov regularization to ill-posed nonlinear operator equations. The objective of this work is to prove low order convergence rates for the discrepancy principle under low order source conditions of logarithmic type. We
Externí odkaz:
http://arxiv.org/abs/2212.13366
Autor:
Johan Ohlander, Hans Kromhout, Roel Vermeulen, Lützen Portengen, Benjamin Kendzia, Barbara Savary, Domenico Cavallo, Andrea Cattaneo, Enrica Migliori, Lorenzo Richiardi, Nils Plato, Heinz-Erich Wichmann, Stefan Karrasch, Dario Consonni, Maria Teresa Landi, Neil E Caporaso, Jack Siemiatycki, Per Gustavsson, Karl-Heinz Jöckel, Wolfgang Ahrens, Hermann Pohlabeln, Guillermo Fernández-Tardón, David Zaridze, Jolanta Lissowska Jolanta Lissowska, Beata Swiatkowska Beata Swiatkowska, John K Field John K Field, John R McLaughlin, Paul A Demers, Tamas Pandics, Francesco Forastiere, Eleonora Fabianova, Miriam Schejbalova, Lenka Foretova, Vladimir Janout, Dana Mates, Christine Barul, Thomas Brüning, Thomas Behrens, Kurt Straif, Joachim Schüz, Ann Olsson, Susan Peters
Publikováno v:
Scandinavian Journal of Work, Environment & Health, Vol 50, Iss 3, Pp 178-186 (2024)
OBJECTIVES: The quantitative job-exposure matrix SYN-JEM consists of various dimensions: job-specific estimates, region-specific estimates, and prior expert ratings of jobs by the semi-quantitative DOM-JEM. We analyzed the effect of different JEM dim
Externí odkaz:
https://doaj.org/article/d1152682a26d441b8b7475bce62b6692
Publikováno v:
Quantum 7, 1177 (2023)
The role of entanglement in determining the non-classicality of a given interaction has gained significant traction over the last few years. In particular, as the basis for new experimental proposals to test the quantum nature of the gravitational fi
Externí odkaz:
http://arxiv.org/abs/2209.12656
Autor:
Plato, Robert, Hofmann, Bernd
In the present work, we discuss variational regularization for ill-posed nonlinear problems with focus on an oversmoothing penalty term. This means in our model that the searched-for solution of the considered nonlinear operator equation does not bel
Externí odkaz:
http://arxiv.org/abs/2206.02010
Autor:
Deliyannis, Plato, Sud, James, Chamaki, Diana, Webb-Mack, Zoë, Bauer, Christian W., Nachman, Benjamin
Publikováno v:
Physical Review D 106, 036007 (2022)
Reference arXiv:1904.03196 recently introduced an algorithm (QPS) for simulating parton showers with intermediate flavor states using polynomial resources on a digital quantum computer. We make use of a new quantum hardware capability called dynamica
Externí odkaz:
http://arxiv.org/abs/2203.10018
We provide explicit circuits implementing the Kitaev-Webb algorithm for the preparation of multi-dimensional Gaussian states on quantum computers. While asymptotically efficient due to its polynomial scaling, we find that the circuits implementing th
Externí odkaz:
http://arxiv.org/abs/2109.10918
The analysis of Tikhonov regularization for nonlinear ill-posed equations with smoothness promoting penalties is an important topic in inverse problem theory. With focus on Hilbert scale models, the case of oversmoothing penalties, i.e., when the pen
Externí odkaz:
http://arxiv.org/abs/2012.11216