HS-FNO lifts the state to include history and decomposes updates into a learned future-slice predictor plus an exact shift-append transport, yielding lower rollout errors than standard or lag-stack FNO baselines on five non-Markovian PDE families.
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9 Pith papers cite this work. Polarity classification is still indexing.
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A convex neural network is trained inside an elastoplastic stress integration loop using force equilibrium losses to identify yield functions from full-field displacement data.
NeuroRisk is a physics-informed deep unrolled optimizer for risk-aware traffic engineering that achieves small optimality gaps and 100-100000x speedup over solvers while outperforming neural baselines on throughput.
Derives computable two-sided a posteriori error bounds for PINN approximations of ODEs using localized strong monotonicity for lower bounds and one-sided Lipschitz for upper bounds.
A PINN fuses NOAA Coral Reef Watch SST with sparse loggers via the 1D heat equation to generate depth-resolved temperatures and Degree Heating Day profiles with 0.25-1.38°C RMSE at unseen depths.
WaveGraphNet is a graph-based coupled inverse-forward model that localizes damage in CFRP plates from sparse guided-wave measurements with improved extrapolation to unseen locations.
PINNs with hard and soft boundary enforcement solve membrane form-finding PDEs to accuracy comparable with FEM, with hard-BC yielding smaller boundary errors.
An auto-adaptive sampling technique for PINNs is introduced and tested on Allen-Cahn equations to better resolve interfacial regions compared to residual-adaptive methods.
A mobility-first adaptive conformal certification framework for EV-hydrogen-building hubs achieves 100% bus protection and commitment delivery while serving 20.5% building demand in large-scale simulations.
citing papers explorer
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HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations
HS-FNO lifts the state to include history and decomposes updates into a learned future-slice predictor plus an exact shift-append transport, yielding lower rollout errors than standard or lag-stack FNO baselines on five non-Markovian PDE families.
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Physics-Informed Discovery of Yield Functions in Plasticity via Convex Neural Representations
A convex neural network is trained inside an elastoplastic stress integration loop using force equilibrium losses to identify yield functions from full-field displacement data.
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NeuroRisk: Physics-Informed Neural Optimization for Risk-Aware Traffic Engineering
NeuroRisk is a physics-informed deep unrolled optimizer for risk-aware traffic engineering that achieves small optimality gaps and 100-100000x speedup over solvers while outperforming neural baselines on throughput.
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Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds
Derives computable two-sided a posteriori error bounds for PINN approximations of ODEs using localized strong monotonicity for lower bounds and one-sided Lipschitz for upper bounds.
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Depth-Resolved Coral Reef Thermal Fields from Satellite SST and Sparse In-Situ Loggers Using Physics-Informed Neural Networks
A PINN fuses NOAA Coral Reef Watch SST with sparse loggers via the 1D heat equation to generate depth-resolved temperatures and Degree Heating Day profiles with 0.25-1.38°C RMSE at unseen depths.
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WaveGraphNet: Physics-Consistent Guided-Wave Damage Localization through Coupled Inverse-Forward Graph Learning
WaveGraphNet is a graph-based coupled inverse-forward model that localizes damage in CFRP plates from sparse guided-wave measurements with improved extrapolation to unseen locations.
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Physics-informed neural networks for form-finding of unilateral membrane structures
PINNs with hard and soft boundary enforcement solve membrane form-finding PDEs to accuracy comparable with FEM, with hard-BC yielding smaller boundary errors.
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Auto-Adaptive PINNs with Applications to Phase Transitions
An auto-adaptive sampling technique for PINNs is introduced and tested on Allen-Cahn equations to better resolve interfacial regions compared to residual-adaptive methods.
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Mobility Safe Adaptive Reserve Certification for Electric Vehicle Hydrogen Bus and Building Resilience Hubs
A mobility-first adaptive conformal certification framework for EV-hydrogen-building hubs achieves 100% bus protection and commitment delivery while serving 20.5% building demand in large-scale simulations.