{"total":28,"rows":[{"id":"2211.08064","title":"Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications","created":"2022-11-15","cited_by_count":92,"area":null},{"id":"2106.11927","title":"Any equation is a forest: Symbolic genetic algorithm for discovering open-form partial differential equations (SGA-PDE)","created":"2021-06-09","cited_by_count":41,"area":null},{"id":"2407.18011","title":"HANNA: Hard-constraint Neural Network for Consistent Activity Coefficient Prediction","created":"2024-07-25","cited_by_count":17,"area":null},{"id":"2502.06774","title":"ENFORCE: Nonlinear Constrained Learning with Adaptive-depth Neural Projection","created":"2025-02-10","cited_by_count":17,"area":null},{"id":"2507.08124","title":"Physics-Informed Neural Networks with Hard Nonlinear Equality and Inequality Constraints","created":"2025-07-10","cited_by_count":14,"area":null},{"id":"2202.10337","title":"Integration of knowledge and data in machine learning","created":"2022-02-15","cited_by_count":13,"area":null},{"id":"2307.10459","title":"A New Computationally Simple Approach for Implementing Neural Networks with Output Hard Constraints","created":"2023-07-19","cited_by_count":12,"area":null},{"id":"2305.16614","title":"Physics-Regulated Deep Reinforcement Learning: Invariant Embeddings","created":"2023-05-26","cited_by_count":10,"area":null},{"id":"2204.13731","title":"An Intriguing Property of Geophysics Inversion","created":"2022-04-28","cited_by_count":8,"area":null},{"id":"2106.01078","title":"Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations","created":"2021-06-02","cited_by_count":6,"area":null},{"id":"2205.05390","title":"AutoKE: An automatic knowledge embedding framework for scientific machine learning","created":"2022-05-11","cited_by_count":6,"area":null},{"id":"2601.14517","title":"Learning PDE Solvers with Physics and Data: A Unifying View of Physics-Informed Neural Networks and Neural Operators","created":"2026-01-20","cited_by_count":6,"area":null},{"id":"2212.02861","title":"RBF-MGN:Solving spatiotemporal PDEs with Physics-informed Graph Neural Network","created":"2022-12-06","cited_by_count":4,"area":null},{"id":"2412.16644","title":"An explainable operator approximation framework under the guideline of Green's function","created":"2024-12-21","cited_by_count":3,"area":null},{"id":"2501.17782","title":"Picard-KKT-hPINN: Enforcing Nonlinear Enthalpy Balances for Physically Consistent Neural Networks","created":"2025-01-29","cited_by_count":3,"area":null},{"id":"2504.07976","title":"EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations","created":"2025-03-27","cited_by_count":3,"area":null},{"id":"2512.05881","title":"DAE-HardNet: A Physics Constrained Neural Network Enforcing Differential-Algebraic Hard Constraints","created":"2025-12-05","cited_by_count":3,"area":null},{"id":"2210.02448","title":"TgDLF2.0: Theory-guided deep-learning for electrical load forecasting via Transformer and transfer learning","created":"2022-10-05","cited_by_count":2,"area":null},{"id":"2412.18840","title":"Implicit factorized transformer approach to fast prediction of turbulent channel flows","created":"2024-12-25","cited_by_count":2,"area":null},{"id":"2601.06244","title":"Hard Constraint Projection in a Physics Informed Neural Network","created":"2026-01-09","cited_by_count":2,"area":null},{"id":"2304.10717","title":"Physics-informed Neural Network Combined with Characteristic-Based Split for Solving Navier-Stokes Equations","created":"2023-04-21","cited_by_count":1,"area":null},{"id":"2311.03776","title":"Filtered Partial Differential Equations: a robust surrogate constraint in physics-informed deep learning framework","created":"2023-11-07","cited_by_count":1,"area":null},{"id":"2606.05247","title":"DiffSlack: Learning under Nonlinear Inequality Constraints via Learnable Slack Variables","created":"2026-06-03","cited_by_count":1,"area":null},{"id":"2209.13511","title":"Phy-Taylor: Physics-Model-Based Deep Neural Networks","created":"2022-09-27","cited_by_count":0,"area":null},{"id":"2307.00712","title":"Worth of knowledge in deep learning","created":"2023-07-03","cited_by_count":0,"area":null},{"id":"2408.16109","title":"A nudge to the truth: atom conservation as a hard constraint in models of atmospheric composition using an uncertainty-weighted correction","created":"2024-08-28","cited_by_count":0,"area":null},{"id":"2502.17497","title":"Hard constraint learning approaches with trainable influence functions for evolutionary equations","created":"2025-02-21","cited_by_count":0,"area":null},{"id":"2604.13723","title":"Physics-Informed Neural Networks for Solving Derivative-Constrained PDEs","created":"2026-04-15","cited_by_count":0,"area":null}],"next_cursor":null}