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Using simulations or experiments performed at some set of temperatures to learn about the physics or chemistry at some other arbitrary temperature is a problem of immense practical and theoretical relevance. Here we develop a framework…

Statistical Mechanics · Physics 2022-10-17 Yihang Wang , Lukas Herron , Pratyush Tiwary

Data assimilation combines prior (or background) information with observations to estimate the initial state of a dynamical system over a given time-window. A common application is in numerical weather prediction where a previous forecast…

Optimization and Control · Mathematics 2021-07-27 Coralia Cartis , Maha H. Kaouri , Amos S. Lawless , Nancy K. Nichols

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

Machine Learning · Computer Science 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

Accurately quantifying the increased risks of climate extremes requires generating large ensembles of climate realization across a wide range of emissions scenarios, which is computationally challenging for conventional Earth System Models.…

Computational Physics · Physics 2025-08-22 Mengze Wang , Benedikt Barthel Sorensen , Themistoklis Sapsis

The growing impact of global climate change amplifies the need for accurate and reliable weather forecasting. Traditional autoregressive approaches, while effective for temporal modeling, suffer from error accumulation in long-term…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Doyi Kim , Minseok Seo , Hakjin Lee , Junghoon Seo

The integration of renewable energy sources (RES) into power grids presents significant challenges due to their intrinsic stochasticity and uncertainty, necessitating the development of new techniques for reliable and efficient forecasting.…

Machine Learning · Statistics 2024-09-13 Hanyu Zhang , Reza Zandehshahvar , Mathieu Tanneau , Pascal Van Hentenryck

Four-dimensional variational data assimilation (4DVAR) is a cornerstone of numerical weather prediction, but its cost function is difficult to optimize and computationally intensive. We propose a neural field-based reformulation in which…

Machine Learning · Computer Science 2025-09-29 Jaemin Oh

Machine learning (ML)-based weather models have recently undergone rapid improvements. These models are typically trained on gridded reanalysis data from numerical data assimilation systems. However, reanalysis data comes with limitations,…

Machine Learning · Computer Science 2023-11-01 Jonas Scholz , Tom R. Andersson , Anna Vaughan , James Requeima , Richard E. Turner

In this study, we improve a neural network (NN) parameterization of deep convection in the global atmosphere model ARP-GEM. To take into account the sporadic nature of convection, we develop a NN parameterization that includes a triggering…

Atmospheric and Oceanic Physics · Physics 2026-04-08 Hugo Germain , Blanka Balogh , Olivier Geoffroy , David Saint-Martin

Quantum Recurrent Neural Networks (QRNNs) are robust candidates for modelling and predicting future values in multivariate time series. However, the effective implementation of some QRNN models is limited by the need for mid-circuit…

Quantum Physics · Physics 2025-01-31 José Daniel Viqueira , Daniel Faílde , Mariamo M. Juane , Andrés Gómez , David Mera

Gaussian processes are ubiquitous as the primary tool for modeling spatial data. However, the Gaussian process is limited by its $\mathcal{O}(n^3)$ cost, making direct parameter fitting algorithms infeasible for the scale of modern data…

Methodology · Statistics 2025-12-25 Ashlynn Crisp , Daniel Taylor-Rodriguez , Andrew O. Finley

Developing surrogate geophysical models from data is a key research topic in atmospheric and oceanic modeling because of the large computational costs associated with numerical simulation methods. Researchers have started applying a wide…

Computational Physics · Physics 2020-08-14 Romit Maulik , Romain Egele , Bethany Lusch , Prasanna Balaprakash

We propose a novel hybrid quantum-classical framework that integrates the Quantum Approximate Optimization Algorithm (QAOA) and Quantum-enhanced Markov Chain Monte Carlo (QMCMC) with variational particle filters to tackle the computational…

Quantum Physics · Physics 2025-04-29 Abhiram Sripat

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

Machine Learning · Computer Science 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

Wind power forecasting plays a critical role in modern energy systems, facilitating the integration of renewable energy sources into the power grid. Accurate prediction of wind energy output is essential for managing the inherent…

Machine Learning · Computer Science 2024-12-18 Ali Forootani , Danial Esmaeili Aliabadi , Daniela Thraen

Precipitation remains one of the most challenging climate variables to observe and predict accurately. Existing datasets face intricate trade-offs: gauge observations are relatively trustworthy but sparse, satellites provide global coverage…

Atmospheric and Oceanic Physics · Physics 2025-06-24 Sencan Sun , Congyi Nai , Baoxiang Pan , Wentao Li , Lu Li , Xin Li , Efi Foufoula-Georgiou , Yanluan Lin

Downscaling aims to link the behaviour of the atmosphere at fine scales to properties measurable at coarser scales, and has the potential to provide high resolution information at a lower computational and storage cost than numerical…

Atmospheric and Oceanic Physics · Physics 2021-05-19 Rachel Prudden , Niall Robinson , Peter Challenor , Richard Everson

Accurate representation of moist convective sub-grid-scale processes remains a major challenge in global climate models, as traditional parameterization schemes are both computationally expensive and difficult to scale. Neural network (NN)…

Atmospheric and Oceanic Physics · Physics 2026-04-24 Shuochen Wang , Nishant Yadav , Joy Merwin Monteiro , Auroop R. Ganguly

Accurate and robust weather forecasting remains a fundamental challenge due to the inherent spatio-temporal complexity of atmospheric systems. In this paper, we propose a novel self-supervised learning framework that leverages…

Machine Learning · Computer Science 2025-11-04 Yao Liu

Recent studies indicate that the effects of inter-annual climate-based variability in power system planning are significant and that long samples of demand & weather data (spanning multiple decades) should be considered. At the same time,…

Applications · Statistics 2019-05-30 Adriaan P Hilbers , David J Brayshaw , Axel Gandy