pLaSDI learns a reduced governing equation for time-dependent NLTE atomic kinetics with physics-informed losses enforcing consistency, stability, and steady-state convergence, achieving <2% error on tin charge-state evolution at 5e4-1e5 speedup and stable extrapolation.
A comprehensive review of latent space dynamics identification algorithms for intrusive and non-intrusive reduced-order-modeling
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WGFINNs use weak-form loss functions with GENERIC structure preservation to recover governing equations more accurately from noisy observations than prior strong-form GFINNs.
DIANO builds coarse-grid latent spaces for fluid dynamics data via neural operator encoding and decoding while integrating a differentiable PDE solver directly in the latent space for end-to-end physics-constrained training.
mLaSDI uses multi-stage residual decoder training with periodic activations to recover high-frequency details in latent space dynamics identification, yielding lower reconstruction and prediction errors than standard LaSDI for PDEs.
Higher-order LaSDI uses a high-order finite-difference scheme and rollout loss to improve long-term prediction accuracy in reduced-order models for parameterized PDEs, shown on the 2D Burgers equation.
MPEX AI Digital Twins is a project vision to train AI models on experimental and physics simulation data to create digital twins for material assessment metrics in plasma experiments.
citing papers explorer
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Physics-Informed Latent Space Dynamics Identification for Time-Dependent NLTE Atomic Kinetics
pLaSDI learns a reduced governing equation for time-dependent NLTE atomic kinetics with physics-informed losses enforcing consistency, stability, and steady-state convergence, achieving <2% error on tin charge-state evolution at 5e4-1e5 speedup and stable extrapolation.
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WGFINNs: Weak formulation-based GENERIC formalism informed neural networks
WGFINNs use weak-form loss functions with GENERIC structure preservation to recover governing equations more accurately from noisy observations than prior strong-form GFINNs.
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Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling
DIANO builds coarse-grid latent spaces for fluid dynamics data via neural operator encoding and decoding while integrating a differentiable PDE solver directly in the latent space for end-to-end physics-constrained training.
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mLaSDI: Multi-stage latent space dynamics identification
mLaSDI uses multi-stage residual decoder training with periodic activations to recover high-frequency details in latent space dynamics identification, yielding lower reconstruction and prediction errors than standard LaSDI for PDEs.
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Higher-Order LaSDI: Reduced Order Modeling with Multiple Time Derivatives
Higher-order LaSDI uses a high-order finite-difference scheme and rollout loss to improve long-term prediction accuracy in reduced-order models for parameterized PDEs, shown on the 2D Burgers equation.
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MPEX AI Digital Twins
MPEX AI Digital Twins is a project vision to train AI models on experimental and physics simulation data to create digital twins for material assessment metrics in plasma experiments.