Convolutional Neural Networks in Phase Space and Inverse Problems
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Publication:5149211
DOI10.1137/19M1294484zbMath1458.35485arXiv1811.04022OpenAlexW3111082652MaRDI QIDQ5149211
Publication date: 8 February 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.04022
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- An inverse boundary value problem for a nonlinear wave equation
- Partial differential equations. II: Qualitative studies of linear equations
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Interaction of nonlinear progressing waves for semilinear wave equations
- Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
- Propagation and interaction of singularities in nonlinear hyperbolic problems
- Pseudodifferential operators and nonlinear PDE
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
- Inverse problems for semilinear wave equations on Lorentzian manifolds
- Multilayer feedforward networks are universal approximators
- Deep neural networks motivated by partial differential equations
- PDE-Net 2.0: learning PDEs from data with a numeric-symbolic hybrid deep network
- Nonlinear interaction of waves in elastodynamics and an inverse problem
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Estimates for singular Radon transforms and pseudodifferential operators with singular symbols
- Group Invariant Scattering
- Seismic imaging with the generalized Radon transform: a curvelet transform perspective
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Singularities produced by the nonlinear interaction of three progressing waves;,examples
- Lagrangian Intersection and the Cauchy Problem
- Determination of Space‐Time Structures from Gravitational Perturbations
- Diffraction from conormal singularities
- Fourier integral operators
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