Online Learning of Eddy-Viscosity and Backscattering Closures for Geophysical Turbulence Using Ensemble Kalman Inversion
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Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities
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Convergence Analysis of Probability Flow ODE for Score-based Generative Models
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SPFNO: Spectral Operator Learning for PDEs With Dirichlet and Neumann Boundary Conditions
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Sampling via Gradient Flows in the Space of Probability Measures
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Efficient, Multimodal, and Derivative-Free Bayesian Inference With Fisher-Rao Gradient Flows
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Joint Inversion of Receiver Function and Surface Wave Dispersion Based on the Unscented Kalman Inversion
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An Operator Learning Perspective on Parameter-To-Observable Maps
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AI-aided Geometric Design of Anti-infection Catheters
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Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
Zongyi Li, Daniel Zhengyu Huang, Burigede Liu, Anima Anandkumar Journal of Machine Learning Research, 2023 [arXiv] [DOI] [code] |
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Long Random Matrices and Tensor Unfolding
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The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks
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EnsembleKalmanProcesses. jl: Derivative-free ensemble-based model calibration
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Efficient Derivative-Free Bayesian Inference for Large-Scale Inverse Problems
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Bayesian Calibration for LargeScale Fluid Structure Interaction Problems
Under Embedded/Immersed Boundary Framework
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Iterated Kalman Methodology for Inverse Problems
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Power Iteration for Tensor PCA
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Learning Constitutive Relations Using Symmetric Positive Definite Neural Networks
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A Homogenized Flux-Body Force Approach for Modeling Porous
Wall Boundary Conditions in Compressible Viscous Flows
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A Computationally Tractable Framework for
Nonlinear Dynamic Multiscale Modeling of Membrane Fabric
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Learning Constitutive Relations from Indirect Observations
Using Deep Neural Networks
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High-Order Partitioned Spectral Deferred Correction Solvers
for Multiphysics Problems
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An Embedded Boundary Approach for Resolving the Contribution
of Cable Subsystems to Fully Coupled Fluid-Structure Interaction
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Mesh Adaptation Framework for Embedded Boundary Methods for CFD and
Fluid-Structure Interaction
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High-Order, Linearly Stable, Partitioned Solvers
for General Multiphysics Problems Based on Implicit-Explicit Runge-Kutta Schemes
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A Family of Position- and Orientation-Independent
Embedded Boundary Methods for Viscous Flow and Fluid-Structure Interaction Problems
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Bayesian Spline Learning for Equation Discovery of Nonlinear Dynamics with Quantified Uncertainty
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Modeling, Simulation and Validation of Supersonic Parachute Inflation Dynamics During Mars Landing
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Effects of Structural Parameters on the FSI Simulation of Supersonic Parachute Deployments
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Towards a Validated FSI Computational Framework for Supersonic Parachute Deployments
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A High-Order Partitioned Solver for General Multiphysics Problems and Its Applications in Optimization
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Preliminary Verification and Validation Test Suite for the CFD Component of Supersonic Parachute
Deployment FSI Simulations
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Simulation of Parachute Inflation Dynamics Using an Eulerian Computational Framework for Evolving
Fluid-Structure Interfaces in High Speed Turbulent Flows
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