At the crossroads of simulation and data analytics

DOI10.4171/MAG-20zbMath1479.74006MaRDI QIDQ2076004

Patrice Hauret

Publication date: 17 February 2022

Published in: European Mathematical Society Magazine (Search for Journal in Brave)

Mathematics Subject Classification ID

Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10) Mathematical modeling or simulation for problems pertaining to biology (92-10) Statistics on algebraic and topological structures (62Rxx)

Cites Work

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• Uncertainty management in simulation-optimization of complex systems. Algorithms and applications
• Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems
• Simulation-based classification; a model-order-reduction approach for structural health monitoring
• Dynamic data-driven reduced-order models
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data
• The DGDD method for reduced-order modeling of conservation laws
• A two-level parameterized model-order reduction approach for time-domain elastodynamics
• Data-driven operator inference for nonintrusive projection-based model reduction
• Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
• Data-driven computational mechanics
• A general multipurpose interpolation procedure: The magic points
• Bayesian Calibration of Computer Models
• PBDW State Estimation: Noisy Observations; Configuration-Adaptive Background Spaces; Physical Interpretations
• Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
• A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics
• Convergence Rates for Greedy Algorithms in Reduced Basis Methods
• Filtering for distributed mechanical systems using position measurements: perspectives in medical imaging
• Computer Model Calibration Using High-Dimensional Output
• Predicting the output from a complex computer code when fast approximations are available
• RECURSIVE CO-KRIGING MODEL FOR DESIGN OF COMPUTER EXPERIMENTS WITH MULTIPLE LEVELS OF FIDELITY
• Adaptive PBDW Approach to State Estimation: Noisy Observations; User-Defined Update Spaces
• Model Order Reduction based on Proper Orthogonal Decomposition
• A discrete-time optimal filtering approach for non-linear systems as a stable discretization of the Mortensen observer
• Approximation by superpositions of a sigmoidal function

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