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Volume 12, 2022 / Issue 5

DOI: 10.1615/Int.J.UncertaintyQuantification.v12.i5

Table of Contents:

DYNAMICAL LOW-RANK APPROXIMATION FOR BURGERS' EQUATION WITH UNCERTAINTY Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank

Jonas Kusch
Karlsruhe Institute of Technology, Karlsruhe, Germany

Gianluca Ceruti
Universität Tübingen, Tübingen, Germany

Lukas Einkemmer
University of Innsbruck, Innsbruck, Austria

Martin Frank
Karlsruhe Institute of Technology, Karlsruhe, Germany

1-21 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2022039345

MAJORIZATION AS A THEORY FOR UNCERTAINTY Victoria Volodina, Nikki Sonenberg, Edward Wheatcroft, Henry Wynn

Victoria Volodina
The Alan Turing Institute, 96 Euston Road, London, NW1 2DB, United Kingdom

Nikki Sonenberg
The Alan Turing Institute, 96 Euston Road, London, NW1 2DB, United Kingdom

Edward Wheatcroft
London School of Economics and Political Science, Houghton Street, London, WC2A 2AE, United Kingdom

Henry Wynn
London School of Economics and Political Science, Houghton Street, London, WC2A 2AE, United Kingdom

23-45 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2022035476

LEARNING HIGH-DIMENSIONAL PROBABILITY DISTRIBUTIONS USING TREE TENSOR NETWORKS Erwan Grelier, Anthony Nouy, Regis Lebrun

Erwan Grelier
Centrale Nantes, Nantes Université, LMJL, CNRS UMR 6629, Nantes, France; Joint Laboratory of Marine Technology between Naval Group and Centrale Nantes, France

Anthony Nouy
Centrale Nantes, Nantes Universite, LMJL, CNRS UMR 6629, Nantes, France

Regis Lebrun
Airbus Central Research & Technology, Virtual Product Engineering/XRV, France

47-69 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2022034340

CALCULATING PROBABILITY DENSITIES WITH HOMOTOPY AND APPLICATIONS TO PARTICLE FILTERS Juan M. Restrepo, Jorge M. Ramirez

Juan M. Restrepo
Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA

Jorge M. Ramirez
Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN; Departamento de Matemáticas, Universidad the Colombia, Sede Medellín, Medellín, Colombia

71-89 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2022038553

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