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This paper develops an approach for multi-step forecasting of dynamical systems by integrating probabilistic input forecasting with physics-informed output prediction. Accurate multi-step forecasting of time series systems is important for…

Machine Learning · Statistics 2026-01-13 Mahdi Nasiri , Johanna Kortelainen , Simo Särkkä

State estimation is the cornerstone of the power system control center since it provides the operating condition of the system in consecutive time intervals. This work investigates the application of physics-informed neural networks (PINNs)…

Machine Learning · Computer Science 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

Real-time state estimation and forecasting is critical for efficient operation of power grids. In this paper, a physics-informed Gaussian process regression (PhI-GPR) method is presented and used for probabilistic forecasting and estimating…

Machine Learning · Statistics 2020-10-12 Tong Ma , David Alonso Barajas-Solano , Ramakrishna Tipireddy , Alexandre M. Tartakovsky

Physics-Informed Neural Networks (PINNs) are a kind of deep-learning-based numerical solvers for partial differential equations (PDEs). Existing PINNs often suffer from failure modes of being unable to propagate patterns of initial…

Machine Learning · Computer Science 2025-08-19 Chenhui Xu , Dancheng Liu , Yuting Hu , Jiajie Li , Ruiyang Qin , Qingxiao Zheng , Jinjun Xiong

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Combining machine learning with physics is a trending approach for discovering unknown dynamics, and one of the most intensively studied frameworks is the physics-informed neural network (PINN). However, PINN often fails to optimize the…

Machine Learning · Computer Science 2023-11-29 Yuichi Kajiura , Jorge Espin , Dong Zhang

Evidential occupancy grid maps (OGMs) are a popular representation of the environment of automated vehicles. Inverse sensor models (ISMs) are used to compute OGMs from sensor data such as lidar point clouds. Geometric ISMs show a limited…

Robotics · Computer Science 2021-11-22 Raphael van Kempen , Bastian Lampe , Timo Woopen , Lutz Eckstein

Scientific foundation models are expected to reuse representations under changes in dataset, acquisition protocol, and deployment domain, yet many sequence backbones treat scientific temporal structure as an unconstrained pattern to be…

Machine Learning · Computer Science 2026-05-19 Sangyoon Bae , Shinjae Yoo , Jiook Cha

Accurate mechanisms for forecasting solar irradiance and insolation provide important information for the planning of renewable energy and agriculture projects as well as for environmental and socio-economical studies. This research…

Machine Learning · Computer Science 2021-06-15 Laura S. Hoyos-Gómez , Jose F. Ruiz-Muñoz , Belizza J. Ruiz-Mendoza

Ising machines are emerging as a powerful physical alternative to digital processors for solving combinatorial optimization problems. Among them, spatial photonic Ising machines (SPIMs) offer compact, room-temperature hardware with…

Regional disaster resilience quantifies the changing nature of physical risks to inform policy instruments ranging from local immediate recovery to international sustainable development. While many existing state-of-practice methods have…

Machine Learning · Computer Science 2026-03-19 Joshua Dimasaka , Christian Geiß , Emily So

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

Numerical Analysis · Mathematics 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Recurrent State-space models (RSSMs) are highly expressive models for learning patterns in time series data and system identification. However, these models assume that the dynamics are fixed and unchanging, which is rarely the case in…

Machine Learning · Computer Science 2023-10-16 Vaisakh Shaj , Dieter Buchler , Rohit Sonker , Philipp Becker , Gerhard Neumann

Physics-Informed Neural Networks (PINNs) present a transformative approach for smart grid modeling by integrating physical laws directly into learning frameworks, addressing critical challenges of data scarcity and physical consistency in…

Machine Learning · Computer Science 2025-09-01 Julen Cestero , Carmine Delle Femine , Kenji S. Muro , Marco Quartulli , Marcello Restelli

Energy forecasting has a vital role to play in smart grid (SG) systems involving various applications such as demand-side management, load shedding, and optimum dispatch. Managing efficient forecasting while ensuring the least possible…

Machine Learning · Computer Science 2022-05-25 Devinder Kaur , Shama Naz Islam , Md. Apel Mahmud , Md. Enamul Haque , ZhaoYang Dong

Industrial cyber-physical systems (ICPS) integrate physical processes with computational and communication technologies in industrial settings. With the support of edge computing technology, it is feasible to schedule large-scale sensors…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Shigeng Wang , Tiankai Jin , Yehan Ma , Cailian Chen

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Jakub Matousek , Jindrich Dunik , Marek Brandner , Chan Gook Park , Yeongkwon Choe

Photovoltaic (PV) power forecasting plays a critical role in power system dispatch and market participation. Because PV generation is highly sensitive to weather conditions and cloud motion, accurate forecasting requires effective modeling…

Artificial Intelligence · Computer Science 2026-04-07 Hang Fan , Haoran Pei , Runze Liang , Weican Liu , Long Cheng , Wei Wei

Predicting future human motion plays a significant role in human-machine interactions for various real-life applications. A unified formulation and multi-order modeling are two critical perspectives for analyzing and representing human…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Xiaoli Liu , Jianqin Yin , Huaping Liu , Jun Liu

The ability to predict trajectories of surrounding agents and obstacles is a crucial component in many robotic applications. Data-driven approaches are commonly adopted for state prediction in scenarios where the underlying dynamics are…

Robotics · Computer Science 2025-04-28 Kaiyuan Tan , Peilun Li , Jun Wang , Thomas Beckers