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In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and latent structure of nonlinear dynamical systems from…

Machine Learning · Computer Science 2022-05-26 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

Deep learning has shown strong potential in modeling complex spatiotemporal dynamics. However, most existing methods depend on densely and uniformly sampled data, which is often unavailable in practice due to sensor and cost limitations. In…

Machine Learning · Computer Science 2025-12-16 Han Wan , Qi Wang , Yuan Mi , Rui Zhang , Hao Sun

Model-based reinforcement learning (MBRL) is believed to have much higher sample efficiency compared to model-free algorithms by learning a predictive model of the environment. However, the performance of MBRL highly relies on the quality…

Machine Learning · Computer Science 2022-11-16 Xin-Yang Liu , Jian-Xun Wang

Accurate predictions of ship trajectories in crowded environments are essential to ensure safety in inland waterways traffic. Recent advances in deep learning promise increased accuracy even for complex scenarios. While the challenge of…

Machine Learning · Computer Science 2026-03-06 Tom Legel , Dirk Söffker , Roland Schätzle , Kathrin Donandt

This paper proposes a physics-guided recurrent neural network model (PGRNN) that combines RNNs and physics-based models to leverage their complementary strengths and improve the modeling of physical processes. Specifically, we show that a…

Computational Physics · Physics 2019-02-01 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan Read , Jacob Zwart , Michael Steinbach , Vipin Kumar

Modeling the dynamics of flexible objects has become an emerging topic in the community as these objects become more present in many applications, e.g., soft robotics. Due to the properties of flexible materials, the movements of soft…

Machine Learning · Computer Science 2024-06-18 Kaiyuan Tan , Peilun Li , Thomas Beckers

Accurate hydrological understanding and water cycle prediction are crucial for addressing scientific and societal challenges associated with the management of water resources, particularly under the dynamic influence of anthropogenic…

Machine Learning · Computer Science 2024-07-15 Qingsong Xu , Yilei Shi , Jonathan Bamber , Ye Tuo , Ralf Ludwig , Xiao Xiang Zhu

Physics-Informed Neural Networks (PINNs) have demonstrated considerable success in solving complex fluid dynamics problems. However, their performance often deteriorates in regimes characterized by steep gradients, intricate boundary…

Fluid Dynamics · Physics 2025-12-29 Ze Tao , Ke Xu , Fujun Liu

Physical motion models offer interpretable predictions for the motion of vehicles. However, some model parameters, such as those related to aero- and hydrodynamics, are expensive to measure and are often only roughly approximated reducing…

Machine Learning · Computer Science 2024-10-28 Alexandra Baier , Zeyd Boukhers , Steffen Staab

Climate models play a critical role in understanding and projecting climate change. Due to their complexity, their horizontal resolution of about 40-100 km remains too coarse to resolve processes such as clouds and convection, which need to…

Machine Learning · Computer Science 2025-03-18 Birgit Kühbacher , Fernando Iglesias-Suarez , Niki Kilbertus , Veronika Eyring

Physics-informed neural networks have emerged as a coherent framework for building predictive models that combine statistical patterns with domain knowledge. The underlying notion is to enrich the optimization loss function with known…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-20 Zhenyu Dai , Ben Moews , Ricardo Vilalta , Romeel Dave

We apply reinforcement learning (RL) to robotics tasks. One of the drawbacks of traditional RL algorithms has been their poor sample efficiency. One approach to improve the sample efficiency is model-based RL. In our model-based RL…

Machine Learning · Computer Science 2023-05-16 Adithya Ramesh , Balaraman Ravindran

Machine learning has emerged as a powerful tool in various fields, including computer vision, natural language processing, and speech recognition. It can unravel hidden patterns within large data sets and reveal unparalleled insights,…

Machine Learning · Computer Science 2024-05-24 Abdeldjalil Latrach , Mohamed Lamine Malki , Misael Morales , Mohamed Mehana , Minou Rabiei

In the context of proxy modeling for process systems, traditional data-driven deep learning approaches frequently encounter significant challenges, such as substantial training costs induced by large amounts of data, and limited…

Machine Learning · Computer Science 2024-07-09 Pengwei Liu , Zhongkai Hao , Xingyu Ren , Hangjie Yuan , Jiayang Ren , Dong Ni

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

Generative models are increasingly central to scientific workflows, yet their systematic use and interpretation require a proper understanding of their limitations through rigorous validation. Classic approaches struggle with scalability,…

Machine Learning · Statistics 2025-11-26 Pietro Cappelli , Gaia Grosso , Marco Letizia , Humberto Reyes-González , Marco Zanetti

Physics-informed deep learning has been developed as a novel paradigm for learning physical dynamics recently. While general physics-informed deep learning methods have shown early promise in learning fluid dynamics, they are difficult to…

Fluid Dynamics · Physics 2024-06-07 Jing Qiu , Jiancheng Huang , Xiangdong Zhang , Zeng Lin , Minglei Pan , Zengding Liu , Fen Miao

Machine learning (ML) provides a broad spectrum of tools and architectures that enable the transformation of data from simulations and experiments into useful and explainable science, thereby augmenting domain knowledge. Furthermore,…

Plasma Physics · Physics 2024-09-05 Farbod Faraji , Maryam Reza

The carbon pump of the world's ocean plays a vital role in the biosphere and climate of the earth, urging improved understanding of the functions and influences of the ocean for climate change analyses. State-of-the-art techniques are…

Machine Learning · Computer Science 2021-07-23 Taco de Wolff , Hugo Carrillo , Luis Martí , Nayat Sanchez-Pi

Recent advances in high-resolution imaging techniques and particle-based simulation methods have enabled the precise microscopic characterization of collective dynamics in various biological and engineered active matter systems. In…

Soft Condensed Matter · Physics 2023-02-14 Rohit Supekar , Boya Song , Alasdair Hastewell , Gary P. T. Choi , Alexander Mietke , Jörn Dunkel