Awesome Physiscs-Informed Machine Learning (Neuural Networks)

A carefully curated collection of high-quality libraries, projects, tutorials, research papers, and other essential resources focused on Physics-Informed Machine Learning (PIML) and Physics-Informed Neural Networks (PINNs). This repository is designed to be a comprehensive, well-organized knowledge base for researchers and developers working in the growing field of integrating physics with machine learning.

To ensure that the community stays up to date with the latest breakthroughs, our repository is automatically updated with new PINN/PIML-related research papers from arXiv. This feature guarantees access to cutting-edge developments, making it an invaluable resource for anyone exploring physics-constrained learning methods.

Whether you're a researcher modeling complex physical systems, a developer building physics-guided models, or an enthusiast in scientific machine learning, this collection serves as a centralized hub for everything related to PIML, PINNs, and the broader integration of domain knowledge into learning systems, enriched by original peer-reviewed contributions to the field.

Last Updated

July 4, 2025 at 01:23:33 AM UTC

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Papers (91)

• OmniFluids: Unified Physics Pre-trained Modeling of Fluid Dynamics
• Hamiltonian Learning via Inverse Physics-Informed Neural Networks
• R-PINN: Recovery-type a-posteriori estimator enhanced adaptive PINN
• Generalizable and Fast Surrogates: Model Predictive Control of Articulated Soft Robots using Physics-Informed Neural Networks
• Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics
• TS-PIELM: Time-Stepping Physics-Informed Extreme Learning Machine Facilitates Soil Consolidation Analyses
• Provably Accurate Adaptive Sampling for Collocation Points in Physics-informed Neural Networks
• LT-PINN: Lagrangian Topology-conscious Physics-informed Neural Network for Boundary-focused Engineering Optimization
• BridgeNet: A Hybrid, Physics-Informed Machine Learning Framework for Solving High-Dimensional Fokker-Planck Equations
• Thermodynamically Consistent Latent Dynamics Identification for Parametric Systems
• Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs
• Physics-Informed Neural Operators for Generalizable and Label-Free Inference of Temperature-Dependent Thermoelectric Properties
• Learnable Activation Functions in Physics-Informed Neural Networks for Solving Partial Differential Equations
• Learning Fluid-Structure Interaction Dynamics with Physics-Informed Neural Networks and Immersed Boundary Methods
• Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations
• Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs
• Weak Physics Informed Neural Networks for Geometry Compatible Hyperbolic Conservation Laws on Manifolds
• Solving engineering eigenvalue problems with neural networks using the Rayleigh quotient
• SF^2^2Bench: Evaluating Data-Driven Models for Compound Flood Forecasting in South Florida
• Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles
• A Bayesian PINN Framework for Barrow-Tsallis Holographic Dark Energy with Neutrinos: Toward a Resolution of the Hubble Tension
• An Approximation Theory Perspective on Machine Learning
• Deterministic and statistical calibration of constitutive models from full-field data with parametric physics-informed neural networks
• MoPINNEnKF: Iterative Model Inference using generic-PINN-based ensemble Kalman filter
• DiffPINN: Generative diffusion-initialized physics-informed neural networks for accelerating seismic wavefield representation
• Cluster Reconstruction in Electromagnetic Calorimeters Using Machine Learning Methods
• Unified theoretical guarantees for stability, consistency, and convergence in neural PDE solvers from non-IID data to physics-informed networks
• Machine learning meets \mathfrak{su}(n)\mathfrak{su}(n) Lie algebra: Enhancing quantum dynamics learning with exact trace conservation
• On the definition and importance of interpretability in scientific machine learning
• CPINN-ABPI: Physics-Informed Neural Networks for Accurate Power Estimation in MPSoCs
• PADAM: Parallel averaged Adam reduces the error for stochastic optimization in scientific machine learning
• Locking-Free Training of Physics-Informed Neural Network for Solving Nearly Incompressible Elasticity Equations
• A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem
• Are Statistical Methods Obsolete in the Era of Deep Learning?
• Godunov Loss Functions for Modelling of Hyperbolic Conservation Laws
• Dual Natural Gradient Descent for Scalable Training of Physics-Informed Neural Networks
• A data augmentation strategy for deep neural networks with application to epidemic modelling
• Advancing Molecular Machine Learning Representations with Stereoelectronics-Infused Molecular Graphs
• Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks
• Uncertainty Quantification for Physics-Informed Neural Networks with Extended Fiducial Inference
• Convergence Analysis of Natural Gradient Descent for Over-parameterized Physics-Informed Neural Networks
• Perception-Informed Neural Networks: Beyond Physics-Informed Neural Networks
• KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches
• SetPINNs: Set-based Physics-informed Neural Networks
• Repulsive Ensembles for Bayesian Inference in Physics-informed Neural Networks
• A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations
• Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces
• Machine learning on manifolds for inverse scattering: Lipschitz stability analysis
• Fourier-Invertible Neural Encoder (FINE) for Homogeneous Flows
• Hybrid Adaptive Modeling in Process Monitoring: Leveraging Sequence Encoders and Physics-Informed Neural Networks
• Modelling Mosquito Population Dynamics using PINN-derived Empirical Parameters
• Physics-Informed Latent Neural Operator for Real-time Predictions of Complex Physical Systems
• Safe Physics-Informed Machine Learning for Dynamics and Control
• PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models
• Enhancing Physics-Informed Neural Networks Through Feature Engineering
• Which Optimizer Works Best for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks?
• Learning Mappings in Mesh-based Simulations
• Physics-Informed Priors with Application to Boundary Layer Velocity
• A Hybrid Neural Network -- Polynomial Series Scheme for Learning Invariant Manifolds of Discrete Dynamical Systems
• A Gravity-informed Spatiotemporal Transformer for Human Activity Intensity Prediction
• Leveraging recurrence in neural network wavefunctions for large-scale simulations of Heisenberg antiferromagnets: the square lattice
• Stability Analysis of Physics-Informed Neural Networks via Variational Coercivity, Perturbation Bounds, and Concentration Estimates
• NeuroPhysNet: A FitzHugh-Nagumo-Based Physics-Informed Neural Network Framework for Electroencephalograph (EEG) Analysis and Motor Imagery Classification
• Quantum Recurrent Embedding Neural Network
• Interpretability and Generalization Bounds for Learning Spatial Physics
• Solving Nonlinear PDEs with Sparse Radial Basis Function Networks
• Leveraging Influence Functions for Resampling Data in Physics-Informed Neural Networks
• SPIN-ODE: Stiff Physics-Informed Neural ODE for Chemical Reaction Rate Estimation
• GeNeRT: A Physics-Informed Approach to Intelligent Wireless Channel Modeling via Generalizable Neural Ray Tracing
• Evolutionary Optimization of Physics-Informed Neural Networks: Evo-PINN Frontiers and Opportunities
• Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures
• Supercharging Graph Transformers with Advective Diffusion
• Newtonian and Lagrangian Neural Networks: A Comparison Towards Efficient Inverse Dynamics Identification
• Rank Inspired Neural Network for solving linear partial differential equations
• Mask-PINNs: Regulating Feature Distributions in Physics-Informed Neural Networks
• Solving a class of stochastic optimal control problems by physics-informed neural networks
• High precision PINNs in unbounded domains: application to singularity formulation in PDEs
• Learning Physical Systems: Symplectification via Gauge Fixing in Dirac Structures
• Méthode de quadrature pour les PINNs fondée théoriquement sur la hessienne des résiduels
• A Neural-Operator Surrogate for Platelet Deformation Across Capillary Numbers
• Causal Operator Discovery in Partial Differential Equations via Counterfactual Physics-Informed Neural Networks
• Convolution-weighting method for the physics-informed neural network: A Primal-Dual Optimization Perspective
• Least Squares with Equality constraints Extreme Learning Machines for the resolution of PDEs
• Physics-informed network paradigm with data generation and background noise removal for diverse distributed acoustic sensing applications
• Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks
• BWLer: Barycentric Weight Layer Elucidates a Precision-Conditioning Tradeoff for PINNs
• Fully Differentiable Lagrangian Convolutional Neural Network for Physics-Informed Precipitation Nowcasting
• Automatic Rank Determination for Low-Rank Adaptation via Submodular Function Maximization
• B-PL-PINN: Stabilizing PINN Training with Bayesian Pseudo Labeling
• A generative modeling / Physics-Informed Neural Network approach to random differential equations
• Unraveling particle dark matter with Physics-Informed Neural Networks

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Contributing

We welcome contributions to this repository! If you have a resource that you believe should be included, please submit a pull request or open an issue. Contributions can include:

• New libraries or tools related to PIML or PINNs
• Tutorials or guides that help users understand and implement PIML techniques
• Research papers that advance the field of PIML or PINNs
• Any other resources that you find valuable for the community

How to Contribute

1. Fork the repository.
2. Create a new branch for your changes.
3. Make your changes and commit them with a clear message.
4. Push your changes to your forked repository.
5. Submit a pull request to the main repository.

Before contributing, take a look at the existing resources to avoid duplicates.

License

This repository is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). You are free to share and adapt the material, provided you give appropriate credit, link to the license, and indicate if changes were made.

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