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Statistical post-processing of dynamical forecast ensembles is an essential component of weather forecasting. In this article, we present a post-processing method that generates full predictive probability distributions for precipitation…

Applications · Statistics 2014-04-29 Michael Scheuerer

Maximum likelihood (ML) learning for energy-based models (EBMs) is challenging, partly due to non-convergence of Markov chain Monte Carlo.Several variations of ML learning have been proposed, but existing methods all fail to achieve both…

Machine Learning · Statistics 2023-04-24 Xinwei Zhang , Zhiqiang Tan , Zhijian Ou

Weather forecasting has seen a shift in methods from numerical simulations to data-driven systems. While initial research in the area focused on deterministic forecasting, recent works have used diffusion models to produce skillful ensemble…

Machine Learning · Computer Science 2025-04-15 Martin Andrae , Tomas Landelius , Joel Oskarsson , Fredrik Lindsten

The embedded topic model (ETM) is a widely used approach that assumes the sampled document-topic distribution conforms to the logistic normal distribution for easier optimization. However, this assumption oversimplifies the real…

Computation and Language · Computer Science 2025-01-03 Wei Shao , Mingyang Liu , Linqi Song

Earth's temperature variability can be partitioned into internal and externally-forced components. Yet, underlying mechanisms and their relative contributions remain insufficiently understood, especially on decadal to centennial timescales.…

Atmospheric and Oceanic Physics · Physics 2023-02-01 Maybritt Schillinger , Beatrice Ellerhoff , Robert Scheichl , Kira Rehfeld

Generative AI is a fast-growing area of research offering various avenues for exploration in high-energy nuclear physics. In this work, we explore the use of generative models for simulating electron-proton collisions relevant to…

High Energy Physics - Phenomenology · Physics 2024-08-14 Peter Devlin , Jian-Wei Qiu , Felix Ringer , Nobuo Sato

Traditional models of climate change use complex systems of coupled equations to simulate physical processes across the Earth system. These simulations are highly computationally expensive, limiting our predictions of climate change and…

Extreme temperature events have traditionally been detected assuming a unimodal distribution of temperature data. We found that surface temperature data can be described more accurately with a multimodal rather than a unimodal distribution.…

Atmospheric and Oceanic Physics · Physics 2023-09-14 Aytaç Paçal , Birgit Hassler , Katja Weigel , M. Levent Kurnaz , Michael F. Wehner , Veronika Eyring

Numerical climate model simulations run at high spatial and temporal resolutions generate massive quantities of data. As our computing capabilities continue to increase, storing all of the data is not sustainable, and thus it is important…

Methodology · Statistics 2018-02-20 Joseph Guinness , Dorit Hammerling

Although numerical weather forecasting methods have dominated the field, recent advances in deep learning methods, such as diffusion models, have shown promise in ensemble weather forecasting. However, such models are typically…

Machine Learning · Computer Science 2025-09-16 Kevin Valencia , Ziyang Liu , Justin Cui

Physics-based Earth system models (ESMs) are essential for attributing climate change and generating scenario projections, yet their reliance on high-resolution numerical integration makes multi-decadal experiments expensive. In parallel,…

Atmospheric and Oceanic Physics · Physics 2026-03-18 Hira Saleem , Flora Salim , Cormac Purcell

Precipitation results from complex processes across many scales, making its accurate simulation in Earth system models (ESMs) challenging. Existing post-processing methods can improve ESM simulations locally, but cannot correct errors in…

Atmospheric and Oceanic Physics · Physics 2025-01-03 Philipp Hess , Markus Drüke , Stefan Petri , Felix M. Strnad , Niklas Boers

The proliferation of intermittent distributed renewable energy sources (RES) in modern power systems has fundamentally compromised the reliability and accuracy of deterministic net load forecasting. Generative models, particularly diffusion…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Yixiang Huang , Jianhua Pei , Luocheng Chen , Zhenchang Du , Jinfu Chen , Zirui Peng

Downscaling techniques are one of the most prominent applications of Deep Learning (DL) in Earth System Modeling. A robust DL downscaling model can generate high-resolution fields from coarse-scale numerical model simulations, saving the…

Machine Learning · Computer Science 2025-08-28 Elena Tomasi , Gabriele Franch , Marco Cristoforetti

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

Large computer models are ubiquitous in the earth sciences. These models often have tens or hundreds of tuneable parameters and can take thousands of core-hours to run to completion while generating terabytes of output. It is becoming…

Atmospheric and Oceanic Physics · Physics 2022-03-21 Duncan Watson-Parris , Andrew Williams , Lucia Deaconu , Philip Stier

The rare-event sampling problem has long been the central limiting factor in molecular dynamics (MD), especially in biomolecular simulation. Recently, diffusion models such as BioEmu have emerged as powerful equilibrium samplers that…

This study investigates the application of deep-learning diffusion models for the super-resolution of weather data, a novel approach aimed at enhancing the spatial resolution and detail of meteorological variables. Leveraging the…

Machine Learning · Computer Science 2024-09-02 Jan Martinů , Petr Šimánek

Forecasting future weather and climate is inherently difficult. Machine learning offers new approaches to increase the accuracy and computational efficiency of forecasts, but current methods are unable to accurately model uncertainty in…

Machine Learning · Computer Science 2023-02-02 Yusuke Hatanaka , Yannik Glaser , Geoff Galgon , Giuseppe Torri , Peter Sadowski

Accurate reconstruction of global Sea surface temperature (SST), which dominates the air-sea coupling and global climate variability, underpins climate monitoring and prediction. Existing SST reconstruction products primarily provide one…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Haijie Li , Ya Wang , Kai Yang , Gang Huang , Xiangao Xia , Ziming Chen , Weichen Tao , Chenglin Lyu , Lin Chen , Miao Zhang , Kaiming Hu , Hainan Gong , Disong Fu , Lin Wang