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Related papers: Physics Guided RNNs for Modeling Dynamical Systems…

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This work concerns the application of physics-informed neural networks to the modeling and control of complex robotic systems. Achieving this goal required extending Physics Informed Neural Networks to handle non-conservative effects. We…

Robotics · Computer Science 2023-07-07 Jingyue Liu , Pablo Borja , Cosimo Della Santina

Physics-guided Neural Networks (PGNNs) represent an emerging class of neural networks that are trained using physics-guided (PG) loss functions (capturing violations in network outputs with known physics), along with the supervision…

The proliferation of large-scale and structurally complex data has spurred the integration of machine learning methods into statistical modeling. Recurrent neural networks (RNNs), a foundational class of models for time-dependent data, can…

Machine Learning · Statistics 2026-05-05 Yuxi Cai , Lan Li , Feiqing Huang , Guodong Li

Recently, the superior performance of Transformers has made them a more robust and scalable solution for sequence modeling than traditional recurrent neural networks (RNNs). However, the effectiveness of Transformer in capturing long-term…

Machine Learning · Computer Science 2025-05-07 Zhou Wu , Junyi An , Baile Xu , Furao Shen , Jian Zhao

This paper depicts a brief revision of Generalized Regression Neural Networks (GRNN) applications in system identification and control of dynamic systems. In addition, a comparison study between the performance of back-propagation neural…

Neural and Evolutionary Computing · Computer Science 2018-05-30 Ahmad Jobran Al-Mahasneh , Sreenatha G. Anavatti , Matthew A. Garratt

Fluid thermodynamics underpins atmospheric dynamics, climate science, industrial applications, and energy systems. However, direct numerical simulations (DNS) of such systems can be computationally prohibitive. To address this, we present a…

Fluid Dynamics · Physics 2026-02-11 Luca Menicali , Andrew Grace , David H. Richter , Stefano Castruccio

For multilayer materials in thin substrate systems, interfacial failure is one of the most challenges. The traction-separation relations (TSR) quantitatively describe the mechanical behavior of a material interface undergoing openings,…

Computational Engineering, Finance, and Science · Computer Science 2020-12-01 Jiaxin Zhang , Congjie Wei , Chenglin Wu

Machine learning is playing an increasing role in the physical sciences and significant progress has been made towards embedding domain knowledge into models. Less explored is its use to discover interpretable physical laws from data. We…

Machine Learning · Computer Science 2020-12-18 Saaketh Desai , Alejandro Strachan

In a previous paper, we have shown that a recurrent neural network (RNN) can be used to detect cellular network radio signal degradations accurately. We unexpectedly found, though, that accuracy gains diminished as we added layers to the…

Machine Learning · Computer Science 2024-04-18 David Mulvey , Chuan Heng Foh , Muhammad Ali Imran , Rahim Tafazolli

Physics-informed neural networks (PINNs) is an emerging category of neural networks which can be trained to solve supervised learning tasks while taking into consideration given laws of physics described by general nonlinear partial…

Cryptography and Security · Computer Science 2026-04-07 Solon Falas , Charalambos Konstantinou , Maria K. Michael

Solving partial differential equations (PDEs) serves as a cornerstone for modeling complex dynamical systems. Recent progresses have demonstrated grand benefits of data-driven neural-based models for predicting spatiotemporal dynamics…

Machine Learning · Computer Science 2025-03-04 Bocheng Zeng , Qi Wang , Mengtao Yan , Yang Liu , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Hao Sun

This paper presents a physics-informed neural network (PINN) approach for monitoring the health of diesel engines. The aim is to evaluate the engine dynamics, identify unknown parameters in a "mean value" model, and anticipate maintenance…

Machine Learning · Computer Science 2023-08-29 Kamaljyoti Nath , Xuhui Meng , Daniel J Smith , George Em Karniadakis

Despite deep-learning being state-of-the-art for data-driven model predictions, it has not yet found frequent application in ecology. Given the low sample size typical in many environmental research fields, the default choice for the…

Applications · Statistics 2022-09-29 Marieke Wesselkamp , Niklas Moser , Maria Kalweit , Joschka Boedecker , Carsten F. Dormann

Physical neural networks (PNNs) are a class of neural-like networks that leverage the properties of physical systems to perform computation. While PNNs are so far a niche research area with small-scale laboratory demonstrations, they are…

Considering the growing necessity for precise modeling of power electronics amidst operational and environmental uncertainties, this paper introduces an innovative methodology that ingeniously combines model-driven and data-driven…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Peifeng Hui , Chenggang Cui , Pengfeng Lin , Amer M. Y. M. Ghias , Xitong Niu , Chuanlin Zhang

Data-driven models for predicting dynamic responses of linear and nonlinear systems are of great importance due to their wide application from probabilistic analysis to inverse problems such as system identification and damage diagnosis. In…

Machine Learning · Computer Science 2020-12-29 Soheil Sadeghi Eshkevari , Martin Takáč , Shamim N. Pakzad , Majid Jahani

We present our progress on the application of physics informed deep learning to reservoir simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The…

Fluid Dynamics · Physics 2021-04-26 Cedric Fraces Gasmi , Hamdi Tchelepi

An elementary Recurrent Neural Network that operates on p time lags, called an RNN(p), is the natural generalisation of a linear autoregressive model ARX(p). It is a powerful forecasting tool for variables displaying inherent seasonal…

Machine Learning · Computer Science 2025-11-10 Roberto Baviera , Pietro Manzoni

Simulation of multiphase flow in porous media is crucial for the effective management of subsurface energy and environment related activities. The numerical simulators used for modeling such processes rely on spatial and temporal…

Computational Physics · Physics 2022-05-25 Bicheng Yan , Dylan Robert Harp , Rajesh J. Pawar

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle