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Volume 15, 2025 / Issue 6

DOI: 10.1615/Int.J.UncertaintyQuantification.v15.i6

Table of Contents:

A FILTERED MULTILEVEL MONTE CARLO METHOD FOR ESTIMATING THE EXPECTATION OF CELL-CENTERED DISCRETIZED RANDOM FIELDS Jérémy Briant, Paul Mycek, Mayeul Destouches, Olivier Goux, Serge Gratton, Selime Gürol, Ehouarn Simon, Anthony T. Weaver

Jérémy Briant
IRIT, CNRS, Toulouse INP, Toulouse, France; CECI, Université de Toulouse, Cerfacs, CNRS, IRD, Toulouse, France

Paul Mycek
Cerfacs, Toulouse, France; CECI, Université de Toulouse, Cerfacs, CNRS, IRD, Toulouse, France; Concace, Airbus CR&T, Cerfacs, Inria, France

Mayeul Destouches
CNRM, Université de Toulouse, Météo-France, CNRS, Toulouse, France

Olivier Goux
Cerfacs, Toulouse, France; CECI, Université de Toulouse, Cerfacs, CNRS, IRD, Toulouse, France

Serge Gratton
IRIT, CNRS, Toulouse INP, Toulouse, France; ANITI, Toulouse, France

Selime Gürol
Cerfacs, Toulouse, France; CECI, Université de Toulouse, Cerfacs, CNRS, IRD, Toulouse, France

Ehouarn Simon
IRIT, CNRS, Toulouse INP, Toulouse, France

Anthony T. Weaver
Cerfacs, Toulouse, France; CECI, Université de Toulouse, Cerfacs, CNRS, IRD, Toulouse, France

1-36 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2025057754

BAYESIAN CALIBRATION FOR PREDICTION IN A MULTI-OUTPUT TRANSPOSITION CONTEXT Charlie Sire, Josselin Garnier, Baptiste Kerleguer, Céric Durantin, Gilles Defaux, Guillaume Perrin

Charlie Sire
Inria Saclay Centre, Palaiseau, France; CMAP, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France

Josselin Garnier
Centre de Mathématiques Appliquées, Ecole Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau Cedex, France

Baptiste Kerleguer
Commissariat à l'Énergie Atomique et aus Energies Alternatives (CEA), DAM, DIF, Arpajon, France; Centre de Mathématiques Appliquées, Ecole Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau Cedex, France

Céric Durantin
CEA, DAM, DIF, F-91297 Arpajon, France

Gilles Defaux
CEA, DAM, DIF, F-91297 Arpajon, France

Guillaume Perrin
COSYS, Université Gustave Eiffel, 77420 Champs-sur-Marne, France

37-59 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2025056586

EMBEDDED NONLOCAL OPERATOR REGRESSION (ENOR): QUANTIFYING MODEL ERROR IN LEARNING NONLOCAL OPERATORS Yiming Fan, Habib N. Najm, Yue Yu, Stewart A. Silling, Marta D'Elia

Yiming Fan
Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015, USA

Habib N. Najm
Sandia National Laboratories, P.O. Box 969, MS 9051, Livermore, CA 94551, USA

Yue Yu
Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015, USA

Stewart A. Silling
Multiscale Dynamic Material Modeling Department, Sandia National Laboratories, Albuquerque, New Mexico, 87185, USA

Marta D'Elia
Stanford University, Stanford, California, USA

61-94 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2025056958

INDEX, VOLUME 15, 2025 95-99 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.v15.i6.40

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