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Process-based models (PBMs) and deep learning (DL) are two key approaches in agricultural modelling, each offering distinct advantages and limitations. PBMs provide mechanistic insights based on physical and biological principles, ensuring…

Foundation models (FMs) for the Earth system learn statistical relationships between physical variables across massive datasets to enable versatile downstream applications through finetuning, separating them from task-specific weather…

Embedding non-restrictive prior knowledge, such as energy conservation laws, into learning methods is a key motive to construct physically consistent dynamics models from limited data, relevant for, e.g., model-based control. Recent work…

Machine Learning · Computer Science 2026-04-16 Jan-Hendrik Ewering , Robin E. Herrmann , Niklas Wahlström , Thomas B. Schön , Thomas Seel

We explore adapting foundation models (FMs) from the computer vision domain to geoscience. FMs, large neural networks trained on massive datasets, excel in diverse tasks with remarkable adaptability and generality. However, geoscience faces…

Computer Vision and Pattern Recognition · Computer Science 2024-08-23 Zhixiang Guo , Xinming Wu , Luming Liang , Hanlin Sheng , Nuo Chen , Zhengfa Bi

This study investigates the generalization capabilities and robustness of purely deep learning (DL) models and hybrid models based on physical principles in fluid dynamics applications, specifically focusing on iteratively forecasting the…

Earth observation (EO) foundation models have emerged as an effective approach to derive latent representations of the Earth system from various remote sensing sensors. These models produce embeddings that can be used as analysis-ready…

Machine Learning · Computer Science 2025-11-21 Julia Peters , Karin Mora , Miguel D. Mahecha , Chaonan Ji , David Montero , Clemens Mosig , Guido Kraemer

Scientific and engineering problems often require the use of artificial intelligence to aid understanding and the search for promising designs. While Gaussian processes (GP) stand out as easy-to-use and interpretable learners, they have…

Machine Learning · Computer Science 2021-07-01 Liwei Wang , Suraj Yerramilli , Akshay Iyer , Daniel Apley , Ping Zhu , Wei Chen

Earth Observation (EO) systems are crucial for cartography, disaster surveillance, and resource administration. Nonetheless, they encounter considerable obstacles in the processing and transmission of extensive data, especially in…

Gaussian process state-space models (GPSSMs) offer a principled framework for learning and inference in nonlinear dynamical systems with uncertainty quantification. However, existing GPSSMs are limited by the use of multiple independent…

Machine Learning · Statistics 2025-12-11 Zhidi Lin , Ying Li , Feng Yin , Juan Maroñas , Alexandre H. Thiéry

This paper proposes a framework for multi-robot systems to perform simultaneous learning and coverage of a domain of interest characterized by an unknown and potentially time-varying density function. To overcome the limitations of Gaussian…

Robotics · Computer Science 2025-11-11 Ruijie Du , Ruoyu Lin , Yanning Shen , Magnus Egerstedt

Gaussian processes (GPs) are ubiquitously used in sciences and engineering as metamodels. Standard GPs, however, can only handle numerical or quantitative variables. In this paper, we introduce latent map Gaussian processes (LMGPs) that…

Machine Learning · Statistics 2021-10-13 Nicholas Oune , Ramin Bostanabad

Multi-modal co-learning is emerging as an effective paradigm in machine learning, enabling models to collaboratively learn from different modalities to enhance single-modality predictions. Earth Observation (EO) represents a quintessential…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Francisco Mena , Dino Ienco , Cassio F. Dantas , Roberto Interdonato , Andreas Dengel

This article addresses the challenge of adapting data-based models over time. We propose a novel two-fold modelling architecture designed to correct plant-model mismatch caused by two types of uncertainty. Out-of-domain uncertainty arises…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Laura Boca de Giuli , Alessio La Bella , Riccardo Scattolini

More accurate, spatio-temporally, and physically consistent LST estimation has been a main interest in Earth system research. Developing physics-driven mechanism models and data-driven machine learning (ML) models are two major paradigms…

Atmospheric and Oceanic Physics · Physics 2023-07-12 Jun Ma , Huanfeng Shen , Menghui Jiang , Liupeng Lin , Chunlei Meng , Chao Zeng , Huifang Li , Penghai Wu

Latent force models (LFM) are principled approaches to incorporating solutions to differential equations within non-parametric inference methods. Unfortunately, the development and application of LFMs can be inhibited by their computational…

Machine Learning · Statistics 2014-05-30 Steven Reece , Stephen Roberts , Siddhartha Ghosh , Alex Rogers , Nicholas Jennings

Establishing appropriate mathematical models for complex systems in natural phenomena not only helps deepen our understanding of nature but can also be used for state estimation and prediction. However, the extreme complexity of natural…

Machine Learning · Computer Science 2024-03-27 Cheng Fang , Jinqiao Duan

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

Digital technologies can be used to gather accurate information about the behavior of structural components for improving systems design, as well as for enabling advanced Structural Health Monitoring strategies. New avenues for achieving…

Applications · Statistics 2023-06-29 Silvia Vettori , Emilio Di Lorenzo , Bart Peeters , Eleni Chatzi

As global climate change intensifies, accurate weather forecasting has become increasingly important, affecting agriculture, energy management, environmental protection, and daily life. This study introduces a hybrid model combining…

Machine Learning · Computer Science 2024-10-22 Yuhao Gong , Yuchen Zhang , Fei Wang , Chi-Han Lee

Modelling longitudinal data is an important yet challenging task. These datasets can be high-dimensional, contain non-linear effects and time-varying covariates. Gaussian process (GP) prior-based variational autoencoders (VAEs) have emerged…

Machine Learning · Computer Science 2024-09-18 Priscilla Ong , Manuel Haußmann , Otto Lönnroth , Harri Lähdesmäki