Separable physics-informed DeepONet: breaking the curse of dimensionality in physics-informed machine learning
From MaRDI portal
Publication:6669073
DOI10.1016/j.cma.2024.117586MaRDI QIDQ6669073
Unnamed Author, Somdatta Goswami, Luis Mandl, Tim Ricken
Publication date: 22 January 2025
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Cites Work
- Unnamed Item
- A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data
- General theory of three-dimensional consolidation.
- A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials
- Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems
- PGD reduced-order modeling for structural dynamics applications
- On the influence of over-parameterization in manifold based surrogates and deep neural operators
- A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems
- Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks
- MIONet: Learning Multiple-Input Operators via Tensor Product
- Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
- Multifidelity deep operator networks for data-driven and physics-informed problems
- Phase-field DeepONet: physics-informed deep operator neural network for fast simulations of pattern formation governed by gradient flows of free-energy functionals
- Respecting causality for training physics-informed neural networks
- Energy-dissipative evolutionary deep operator neural networks
- Zero coordinate shift: whetted automatic differentiation for physics-informed operator learning
- SimLivA-modeling ischemia-reperfusion injury in the liver: a first step towards a clinical decision support tool
This page was built for publication: Separable physics-informed DeepONet: breaking the curse of dimensionality in physics-informed machine learning