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Separable physics-informed DeepONet: Breaking the curse of dimensionality in physics-informed machine learning
Luis Mandl, Somdatta Goswami, Lena Lambers and Tim Ricken Computer Methods in Applied Mechanics and Engineering 434 117586 (2025) https://doi.org/10.1016/j.cma.2024.117586
Lila ACHOUR, Sebastian Rodriguez, Paul-Henri Langlois, Hafid Fikri, Chady Ghnatios, Xavier Kestelyn and Francisco Chinesta (2025) https://doi.org/10.21203/rs.3.rs-7602540/v1
Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation
Tensor Representation of Non-linear Models Using Cross Approximations
José V. Aguado, Domenico Borzacchiello, Kiran S. Kollepara, Francisco Chinesta and Antonio Huerta Journal of Scientific Computing 81(1) 22 (2019) https://doi.org/10.1007/s10915-019-00917-2
The Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 Tensor
Xue Gong, Martin J. Mohlenkamp and Todd R. Young SIAM Journal on Applied Dynamical Systems 17(2) 1432 (2018) https://doi.org/10.1137/17M112213X
A parametric and non-intrusive reduced order model of car crash simulation
Y. Le Guennec, J.-P. Brunet, F.-Z. Daim, M. Chau and Y. Tourbier Computer Methods in Applied Mechanics and Engineering 338 186 (2018) https://doi.org/10.1016/j.cma.2018.03.005
Reduced-order model of optimal temperature control for the automated fibre placement process
P. Ladevèze, Ch. Paillet and D. Néron Computational Methods in Applied Sciences, Advances in Computational Plasticity 46 201 (2018) https://doi.org/10.1007/978-3-319-60885-3_10
A door to model reduction in high-dimensional parameter space