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Remaining useful life (RUL) prediction is crucial for maintaining modern industrial systems, where equipment reliability and operational safety are paramount. Traditional methods, based on small-scale deep learning or physical/statistical…

Machine Learning · Computer Science 2024-10-07 Yan Chen , Cheng Liu

As one kind important phase field equations, Cahn-Hilliard equations contain spatial high order derivatives, strong nonlinearities, and even singularities. When using the physics informed neural network (PINN) to simulate the long time…

Numerical Analysis · Mathematics 2024-04-30 Huang Qiumei , Ma Jiaxuan , Xu Zhen

With the rapid advance of Machine Learning techniques and the deep increase of availability of scientific data, data-driven approaches have started to become progressively popular across science, causing a fundamental shift in the…

Numerical Analysis · Mathematics 2023-06-06 Giulia Bertaglia

The simulation of power system dynamics poses a computationally expensive task. Considering the growing uncertainty of generation and demand patterns, thousands of scenarios need to be continuously assessed to ensure the safety of power…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Jochen Stiasny , Spyros Chatzivasileiadis

Ocean current, fluid mechanics, and many other spatio-temporal physical dynamical systems are essential components of the universe. One key characteristic of such systems is that certain physics laws -- represented as ordinary/partial…

Machine Learning · Computer Science 2021-08-16 Yu Huang , James Li , Min Shi , Hanqi Zhuang , Xingquan Zhu , Laurent Chérubin , James VanZwieten , Yufei Tang

Turbulence remains a problem that is yet to be fully understood, with experimental and numerical studies aiming to fully characterise the statistical properties of turbulent flows. Such studies require huge amount of resources to capture,…

Fluid Dynamics · Physics 2022-05-31 Vijay Kag , Kannabiran Seshasayanan , Venkatesh Gopinath

Accurate prediction of the remaining useful life (RUL) of industrial machinery is essential for reducing downtime and optimizing maintenance schedules. Existing approaches, such as long short-term memory (LSTM) networks and convolutional…

Machine Learning · Computer Science 2025-11-04 Varun Teja Chirukiri , Udaya Bhasker Cheerala , Sandeep Kanta , Abdul Karim , Praveen Damacharla

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

Machine Learning · Computer Science 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Physics-Informed Neural Networks (PINNs) are a class of deep learning models aiming to approximate solutions of PDEs by training neural networks to minimize the residual of the equation. Focusing on non-equilibrium fluctuating systems, we…

Machine Learning · Computer Science 2025-09-25 Javier Castro , Benjamin Gess

Accurate remaining useful life (RUL) prediction hinges on the quality of health indicators (HIs), yet existing methods often fail to disentangle complex degradation mechanisms in multi-sensor systems or quantify uncertainty in HI…

Machine Learning · Computer Science 2025-12-01 Lucas Thil , Jesse Read , Rim Kaddah , Guillaume Doquet

Accurate forecasting of contagious diseases is critical for public health policymaking and pandemic preparedness. We propose a new infectious disease forecasting model based on physics-informed neural networks (PINNs), an emerging…

Machine Learning · Computer Science 2025-04-30 Ying Qian , Kui Zhang , Éric Marty , Avranil Basu , Eamon B. O'Dea , Xianqiao Wang , Spencer Fox , Pejman Rohani , John M. Drake , He Li

We introduce a machine-learning framework named statistics-informed neural network (SINN) for learning stochastic dynamics from data. This new architecture was theoretically inspired by a universal approximation theorem for stochastic…

Machine Learning · Computer Science 2022-12-28 Yuanran Zhu , Yu-Hang Tang , Changho Kim

We use Physics-Informed Neural Networks (PINNs) to solve the discrete-time nonlinear observer state estimation problem. Integrated within a single-step exact observer linearization framework, the proposed PINN approach aims at learning a…

Soft robots can revolutionize several applications with high demands on dexterity and safety. When operating these systems, real-time estimation and control require fast and accurate models. However, prediction with first-principles (FP)…

Physics-Informed Neural Networks (PINNs) show significant potential for solving inverse problems, especially when observations are limited and sparse, provided that the relevant physical equations are known. We use PINNs to estimate smooth…

Numerical Analysis · Mathematics 2025-08-06 Moises Sierpe , Ernesto Castillo , Hernan Mella , Felipe Galarce

Capsule network (CapsNet) acts as a promising alternative to the typical convolutional neural network, which is the dominant network to develop the remaining useful life (RUL) estimation models for mechanical equipment. Although CapsNet…

Machine Learning · Computer Science 2022-03-31 Yan Qin , Chau Yuen , Yimin Shao , Bo Qin , Xiaoli Li

Machine learning techniques are employed to perform the full characterization of a quantum system. The particular artificial intelligence technique used to learn the Hamiltonian is called physics informed neural network (PINN). The idea…

There is growing interest in using machine learning (ML) methods for structural metamodeling due to the substantial computational cost of traditional simulations. Purely data-driven strategies often face limitations in model robustness,…

Applied Physics · Physics 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

The importance and cost of time-domain simulations when studying power systems have exponentially increased in the last decades. With the growing share of renewable energy sources, the slow and predictable responses from large turbines are…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

This study proposes a Physics-Informed Neural Network (PINN) framework to predict the low-cycle fatigue (LCF) life of irradiated austenitic and ferritic/martensitic (F/M) steels used in nuclear reactors. These materials undergo cyclic…

Machine Learning · Computer Science 2026-03-20 Dhiraj S Kori , Abhinav Chandraker , Syed Abdur Rahman , Punit Rathore , Ankur Chauhan