This paper studies gradient conflicts and multi-task optimization in Physics-Informed Neural Networks, with implications for more stable convergence in stiff and high-frequency partial differential equations.
A probabilistic physics-informed framework using WaveNet and ParamNet to solve the inverse problem of recovering Woods-Saxon nuclear potential parameters from sparse spectral data.
See LICENSE fileNuclear PhysicsPhysics-Informed Neural NetworksParameter Identification
Presents AKAPINN, a mesh-free KAN-PINN method for nonlinear strain-limiting PDEs with exact hard boundary ansatz and pseudo-Huber loss, evaluated across three material-parameter pairs.
See LICENSE filePINNKolmogorov-Arnold NetworkQuasilinear PDE
This study evaluates physics-informed neural networks for atmospheric potential-temperature forecasting, constrained by pressure-coordinate thermodynamic advection-source equations to address short-horizon predictions under sparse thermal observation conditions.
See LICENSE filePhysics-Informed Neural NetworksAtmospheric Temperature ForecastingDigital Twins
LPINNs propose multiplying the first hidden activation of a dense PINN by input-dependent localization functions, endowing first-layer units with receptive fields to improve optimization on long domains and for high-order operators without domain partitioning.
See LICENSE filePhysics-Informed Neural NetworksPINN EnhancementNeural Network Localization
A mesh-free KAN-PINN method for solving nonlinear strain-limiting partial differential equations, featuring exact hard boundary ansatz and pseudo-Huber residual loss for enhanced training stability.
See LICENSE filePhysics-Informed Neural NetworksQuasi-linear PDEStrain-limiting
Investigates the effectiveness of Physics-Informed Neural Networks in simulating transverse vibration of one-dimensional linear stiff strings by incorporating PDE constraints and boundary conditions into the loss function.
See LICENSE filePhysics-Informed Neural Networksstiff string vibrationsolid mechanics
Proposes a graph hypernetwork approach using an operator graph that explicitly represents PDE fields, derivatives, terms, and residuals as nodes, enabling amortized neural solver meta-training across related partial differential equations.
See LICENSE filePhysics-Informed Neural NetworksGraph HypernetworksOperator Graph
This paper proposes PIRNN to enhance interpretability and accuracy of time series forecasting for physical processes by incorporating physical knowledge from historical data during training.
See LICENSE filePhysics-Informed Neural NetworksTime Series ForecastingRecurrent Neural Networks
A heat conduction equation solver based on Physics-Informed Neural Networks, using neural networks embedded with heat conduction physics to predict temperature fields.
See LICENSE filePhysics-Informed Neural NetworksHeat EquationHeat Conduction
Presents physics-informed hemodynamic modeling for coronary intervention, enabling data-free prediction and sparse-data assimilation to overcome limitations of traditional numerical analysis and purely data-driven approaches.
See LICENSE fileHemodynamicsCoronary InterventionPhysics-Informed Neural Networks
A HuggingFace repository hosting a Physics-Informed Neural Network model for hydrostatic fluid mechanics computations, applying physics-based constraints to deep learning approaches.
HIPNO leverages symmetry-aware physics-informed neural operators to infer hemodynamic states from non-invasive signals, addressing scale symmetry challenges in physics-informed hemodynamic inference and expanding access to advanced monitoring.
See LICENSE fileHemodynamicsPhysics-Informed Neural NetworksNeural Operators