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Marginal-Constrained Modified Wasserstein Barycenters for Gaussian Distributions and Gaussian Mixtures
Maxime Dalery, Geneviève Dusson and Virginie Ehrlacher SIAM Journal on Matrix Analysis and Applications 47(1) 48 (2026) https://doi.org/10.1137/24M1693349
Nonlinear model reduction for transport-dominated problems
Model Order Reduction Using a Collocation Scheme on Chimera Meshes: Addressing the Kolmogorov \({N}\)-Width Barrier
Michel Bergmann, Michele Giuliano Carlino and Angelo Iollo SIAM Journal on Scientific Computing 47(4) A2272 (2025) https://doi.org/10.1137/24M1695099
Optimal Transport–Inspired Deep Learning Framework for Slow-Decaying Kolmogorov \({n}\)-Width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel
Moaad Khamlich, Federico Pichi and Gianluigi Rozza SIAM Journal on Scientific Computing 47(2) C235 (2025) https://doi.org/10.1137/23M1604680
Entropy-stable model reduction of one-dimensional hyperbolic systems using rational quadratic manifolds
A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform
Tobias Long, Robert Barnett, Richard Jefferson-Loveday, Giovanni Stabile and Matteo Icardi Advances in Computational Mathematics 51(1) (2025) https://doi.org/10.1007/s10444-024-10209-5
Optimal transport-based displacement interpolation with data augmentation for reduced order modeling of nonlinear dynamical systems
Manifold Approximations via Transported Subspaces: Model Reduction for Transport-Dominated Problems
Donsub Rim, Benjamin Peherstorfer and Kyle T. Mandli SIAM Journal on Scientific Computing 45(1) A170 (2023) https://doi.org/10.1137/20M1316998
Lookahead data-gathering strategies for online adaptive model reduction of transport-dominated problems
Rodrigo Singh, Wayne Isaac Tan Uy and Benjamin Peherstorfer Chaos: An Interdisciplinary Journal of Nonlinear Science 33(11) (2023) https://doi.org/10.1063/5.0169392
Nonlinear approximation spaces for inverse problems
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems
Jan S. Hesthaven, Cecilia Pagliantini and Nicolò Ripamonti ESAIM: Mathematical Modelling and Numerical Analysis 56(2) 617 (2022) https://doi.org/10.1051/m2an/2022013
Numerical Mathematics and Advanced Applications ENUMATH 2019
H. Bansal, S. Rave, L. Iapichino, W. Schilders and N. van de Wouw Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2019 139 83 (2021) https://doi.org/10.1007/978-3-030-55874-1_7