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Simulating complex unsteady physical phenomena relies on detailed mathematical models, simulated for instance by using the Finite Element Method (FEM). However, these models often exhibit discrepancies from the reality due to unmodeled…

Machine Learning · Computer Science 2026-05-25 M. Gorpinich , B. Moya , S. Rodriguez , F. Meraghni , Y. Jaafra , A. Briot , M. Henner , R. Leon , F. Chinesta

Accuracy and generalization capabilities are key objectives when learning dynamical system models. To obtain such models from limited data, current works exploit prior knowledge and assumptions about the system. However, the fusion of…

Machine Learning · Statistics 2025-08-22 Björn Volkmann , Jan-Hendrik Ewering , Michael Meindl , Simon F. G. Ehlers , Thomas Seel

Latent-variable energy-based models (LVEBMs) assign a single normalized energy to joint pairs of observed data and latent variables, offering expressive generative modeling while capturing hidden structure. We recast maximum-likelihood…

Machine Learning · Computer Science 2025-10-20 Shiqin Tang , Shuxin Zhuang , Rong Feng , Runsheng Yu , Hongzong Li , Youzhi Zhang

Geomagnetic storms play a critical role in space weather physics with the potential for far reaching economic impacts including power grid outages, air traffic rerouting, satellite damage and GPS disruption. The LFM-MIX is a…

Geospatial Copilots hold immense potential for automating Earth observation (EO) and climate monitoring workflows, yet their reliance on large-scale models such as GPT-4o introduces a paradox: tools intended for sustainability studies often…

Machine Learning · Computer Science 2025-04-08 Dimitrios Stamoulis , Diana Marculescu

Accurately estimating latent velocity vector fields of atmospheric winds is crucial for understanding weather phenomena. Direct measurement of atmospheric winds is costly, especially in the upper atmosphere, so researchers attempt to…

Applications · Statistics 2025-06-12 Youssef Fahmy , Maria Laura Battagliola , Joseph Guinness

Computational models of complex physical systems often rely on simplifying assumptions which inevitably introduce model error, with consequent predictive errors. Given data on model observables, the estimation of parameterized model-error…

Methodology · Statistics 2026-02-23 Mridula Kuppa , Khachik Sargsyan , Marco Panesi , Habib N. Najm

This work presents a hybrid modeling approach to data-driven learning and representation of unknown physical processes and closure parameterizations. These hybrid models are suitable for situations where the mechanistic description of…

Computational Physics · Physics 2021-08-17 Suraj Pawar , Omer San , Adil Rasheed , Ionel M. Navon

Learning mappings between functional spaces, also known as function-on-function regression, is a fundamental problem in functional data analysis with broad applications, including spatiotemporal forecasting, curve prediction, and climate…

Machine Learning · Computer Science 2026-04-07 Matthew Lowery , Zhitong Xu , Da Long , Keyan Chen , Daniel S. Johnson , Yang Bai , Varun Shankar , Shandian Zhe

We outline the general framework of machine learning (ML) methods for multi-scale dynamical modeling of condensed matter systems, and in particular of strongly correlated electron models. Complex spatial temporal behaviors in these systems…

Strongly Correlated Electrons · Physics 2022-01-06 Puhan Zhang , Sheng Zhang , Gia-Wei Chern

Federated learning (FL) enables multiple devices to collaboratively train a global model while maintaining data on local servers. Each device trains the model on its local server and shares only the model updates (i.e., gradient weights)…

Machine Learning · Computer Science 2024-12-31 Nishant S. Gaikwad , Lucas Heublein , Nisha L. Raichur , Tobias Feigl , Christopher Mutschler , Felix Ott

This paper proposes a receding horizon active learning and control problem for dynamical systems in which Gaussian Processes (GPs) are utilized to model the system dynamics. The active learning objective in the optimization problem is…

Systems and Control · Electrical Eng. & Systems 2021-05-13 Viet-Anh Le , Truong X. Nghiem

Latent Gaussian models (LGMs) are perhaps the most commonly used class of models in statistical applications. Nevertheless, in areas ranging from longitudinal studies in biostatistics to geostatistics, it is easy to find datasets that…

Methodology · Statistics 2022-11-22 Rafael Cabral , David Bolin , Håvard Rue

We propose a hybrid meta-learning framework for forecasting and anomaly detection in nonlinear dynamical systems characterized by nonstationary and stochastic behavior. The approach integrates a physics-inspired simulator that captures…

Machine Learning · Computer Science 2025-06-18 Abdullah Burkan Bereketoglu

Data-driven models of robot motion constructed using principles from Geometric Mechanics have been shown to produce useful predictions of robot motion for a variety of robots. For robots with a useful number of DoF, these geometric…

Robotics · Computer Science 2025-06-19 Ruizhen Hu , Shai Revzen

For a learning task, Gaussian process (GP) is interested in learning the statistical relationship between inputs and outputs, since it offers not only the prediction mean but also the associated variability. The vanilla GP however struggles…

Machine Learning · Statistics 2020-09-01 Haitao Liu , Yew-Soon Ong , Xiaomo Jiang , Xiaofang Wang

Deep generative models such as flow matching and diffusion models have shown great potential in learning complex distributions and dynamical systems, but often act as black-boxes, neglecting underlying physics. In contrast, physics-based…

Machine Learning · Computer Science 2026-04-28 Gurjeet Sangra Singh , Frantzeska Lavda , Giangiacomo Mercatali , Alexandros Kalousis

Spatial data are often derived from multiple sources (e.g. satellites, in-situ sensors, survey samples) with different supports, but associated with the same properties of a spatial phenomenon of interest. It is common for predictors to…

The rapid growth of earth observation systems calls for a scalable approach to interpolate remote-sensing observations. These methods in principle, should acquire more information about the observed field as data grows. Gaussian processes…

Machine Learning · Computer Science 2024-12-17 Weibin Chen , Azhir Mahmood , Michel Tsamados , So Takao

The amount of data generated by Earth observation satellites can be enormous, which poses a great challenge to the satellite-to-ground connections with limited rate. This paper considers problem of efficient downlink communication of…

Signal Processing · Electrical Eng. & Systems 2023-11-28 Van-Phuc Bui , Thinh Q. Dinh , Israel Leyva-Mayorga , Shashi Raj Pandey , Eva Lagunas , Petar Popovski
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