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Advanced machine learning models have recently achieved high predictive accuracy for weather and climate prediction. However, these complex models often lack inherent transparency and interpretability, acting as "black boxes" that impede…

Atmospheric and Oceanic Physics · Physics 2024-03-29 Ruyi Yang , Jingyu Hu , Zihao Li , Jianli Mu , Tingzhao Yu , Jiangjiang Xia , Xuhong Li , Aritra Dasgupta , Haoyi Xiong

The many ways in which machine and deep learning are transforming the analysis and simulation of data in particle physics are reviewed. The main methods based on boosted decision trees and various types of neural networks are introduced,…

Data Analysis, Statistics and Probability · Physics 2020-05-07 Dimitri Bourilkov

Weather forecasting centers currently rely on statistical postprocessing methods to minimize forecast error. This improves skill but can lead to predictions that violate physical principles or disregard dependencies between variables, which…

Atmospheric and Oceanic Physics · Physics 2023-05-23 Francesco Zanetta , Daniele Nerini , Tom Beucler , Mark A. Liniger

Forecasting and optimisation are two major fields of operations research that are widely used in practice. These methods have contributed to each other growth in several ways. However, the nature of the relationship between these two fields…

Machine Learning · Computer Science 2022-11-28 Mahdi Abolghasemi

We demonstrate that embedding physics-driven constraints into machine learning process can dramatically improve accuracy and generalizability of the resulting model. Physics-informed learning is illustrated on the example of analysis of…

Computational Physics · Physics 2021-12-16 Abantika Ghosh , Mohannad Elhamod , Jie Bu , Wei-Cheng Lee , Anuj Karpatne , Viktor A Podolskiy

Identifying accurate dynamic models is required for the simulation and control of various technical systems. In many important real-world applications, however, the two main modeling approaches often fail to meet requirements: first…

Machine Learning · Computer Science 2021-04-19 Manuel A. Roehrl , Thomas A. Runkler , Veronika Brandtstetter , Michel Tokic , Stefan Obermayer

Condensed Matter Physics (CMP) seeks to understand the microscopic interactions of matter at the quantum and atomistic levels, and describes how these interactions result in both mesoscopic and macroscopic properties. CMP overlaps with many…

Computational Physics · Physics 2020-11-12 Edwin A. Bedolla-Montiel , Luis Carlos Padierna , Ramón Castañeda-Priego

There is a growing consensus that solutions to complex science and engineering problems require novel methodologies that are able to integrate traditional physics-based modeling approaches with state-of-the-art machine learning (ML)…

Computational Physics · Physics 2022-03-15 Jared Willard , Xiaowei Jia , Shaoming Xu , Michael Steinbach , Vipin Kumar

Can general-purpose AI architectures go beyond prediction to discover the physical laws governing the universe? True intelligence relies on "world models" -- causal abstractions that allow an agent to not only predict future states but…

Machine Learning · Computer Science 2026-02-09 Ziming Liu , Sophia Sanborn , Surya Ganguli , Andreas Tolias

Cities are systems with a large number of constituents and agents interacting with each other and can be considered as emblematic of complex systems. Modeling these systems is a real challenge and triggered the interest of many disciplines…

Physics and Society · Physics 2019-10-23 Marc Barthelemy

We investigate the emergence of intuitive physics understanding in general-purpose deep neural network models trained to predict masked regions in natural videos. Leveraging the violation-of-expectation framework, we find that video…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Quentin Garrido , Nicolas Ballas , Mahmoud Assran , Adrien Bardes , Laurent Najman , Michael Rabbat , Emmanuel Dupoux , Yann LeCun

Data assimilation is a central problem in many geophysical applications, such as weather forecasting. It aims to estimate the state of a potentially large system, such as the atmosphere, from sparse observations, supplemented by prior…

Machine Learning · Computer Science 2024-06-24 Matthieu Blanke , Ronan Fablet , Marc Lelarge

Machine learning methods have been remarkably successful in material science, providing novel scientific insights, guiding future laboratory experiments, and accelerating materials discovery. Despite the promising performance of these…

Machine Learning · Computer Science 2024-11-04 Sichao Li , Xin Wang , Amanda Barnard

Robotic manipulation stands as a largely unsolved problem despite significant advances in robotics and machine learning in the last decades. One of the central challenges of manipulation is partial observability, as the agent usually does…

Robotics · Computer Science 2022-06-22 Tim Schneider , Boris Belousov , Hany Abdulsamad , Jan Peters

Physics-based and first-principles models pervade the engineering and physical sciences, allowing for the ability to model the dynamics of complex systems with a prescribed accuracy. The approximations used in deriving governing equations…

Machine Learning · Statistics 2023-11-03 Megan R. Ebers , Katherine M. Steele , J. Nathan Kutz

The complexity of real-world geophysical systems is often compounded by the fact that the observed measurements depend on hidden variables. These latent variables include unresolved small scales and/or rapidly evolving processes, partially…

Learning to create, use, and evaluate models is a central element of becoming a scientist. In physics, we often begin an analysis of a complex system with highly simplified or toy models. In introductory physics classes, we tend to use them…

Physics Education · Physics 2022-08-17 Edward F. Redish

Physics Informed Machine Learning has emerged as a popular approach for modeling and simulation in digital twins, enabling the generation of accurate models of processes and behaviors in real-world systems. However, existing methods either…

Machine Learning · Computer Science 2025-07-15 Muhammad Saad Zia , Ashiq Anjum , Lu Liu , Anthony Conway , Anasol Pena Rios

Deep learning models trained on finite data lack a complete understanding of the physical world. On the other hand, physics-informed neural networks (PINNs) are infused with such knowledge through the incorporation of mathematically…

Neural and Evolutionary Computing · Computer Science 2026-02-23 Jian Cheng Wong , Abhishek Gupta , Chin Chun Ooi , Pao-Hsiung Chiu , Jiao Liu , Yew-Soon Ong

Data-driven algorithms, in particular neural networks, can emulate the effect of sub-grid scale processes in coarse-resolution climate models if trained on high-resolution climate simulations. However, they may violate key physical…

Atmospheric and Oceanic Physics · Physics 2020-04-21 Tom Beucler , Michael Pritchard , Pierre Gentine , Stephan Rasp