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Diffusion models have been central to the development of recent image, video, and even text generation systems. They posses striking geometric properties that can be faithfully portrayed in low-dimensional settings. However, existing…

Machine Learning · Computer Science 2025-07-08 Alec Helbling , Duen Horng Chau

The state of the art for physical hazard prediction from weather and climate requires expensive km-scale numerical simulations driven by coarser resolution global inputs. Here, a generative diffusion architecture is explored for downscaling…

A potent class of generative models known as Diffusion Probabilistic Models (DPMs) has become prominent. A forward diffusion process adds gradually noise to data, while a model learns to gradually denoise. Sampling from pre-trained DPMs is…

Machine Learning · Computer Science 2023-10-27 Martin Gonzalez , Nelson Fernandez , Thuy Tran , Elies Gherbi , Hatem Hajri , Nader Masmoudi

Heatwaves pose a significant threat to public health, especially as global warming intensifies. However, current routing systems (e.g., online maps) fail to incorporate shade information due to the difficulty of estimating shades directly…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Longchao Da , Xiangrui Liu , Mithun Shivakoti , Thirulogasankar Pranav Kutralingam , Yezhou Yang , Hua Wei

The ocean interior regulates Earth's climate but remains sparsely observed due to limited in situ measurements, while satellite observations are restricted to the surface. We present a depth-aware generative framework for reconstructing…

Atmospheric and Oceanic Physics · Physics 2026-04-06 Niloofar Asefi , Tianning Wu , Ruoying He , Ashesh Chattopadhyay

We propose enforcing constraints on Model-Based Diffusion by introducing emerging barrier functions inspired by interior point methods. We demonstrate that the standard Model-Based Diffusion algorithm can lead to catastrophic performance…

Robotics · Computer Science 2026-03-10 Raghav Mishra , Ian R. Manchester

Accurate acquisition of surface meteorological conditions at arbitrary locations holds significant importance for weather forecasting and climate simulation. Due to the fact that meteorological states derived from satellite observations are…

Machine Learning · Computer Science 2025-02-13 Siwei Tu , Ben Fei , Weidong Yang , Fenghua Ling , Hao Chen , Zili Liu , Kun Chen , Hang Fan , Wanli Ouyang , Lei Bai

In recent years, diffusion models have emerged as powerful tools for generating ensemble members in meteorology. In this work, we demonstrate how a Denoising Diffusion Implicit Model (DDIM) can effectively control ensemble variance by…

Applications · Statistics 2026-01-15 Fabio Merizzi , Davide Evangelista , Harilaos Loukos

The dynamics of ecological as well as chemical systems may depend on heterogeneous configurations. Heterogeneity in reaction-diffusion systems often increase modelling and simulating difficulties when non-linear effects are present. One…

Physics and Society · Physics 2019-08-27 Orlando Silva

Computational fluid dynamics (CFD) is a powerful tool for modeling turbulent flow and is commonly used for urban microclimate simulations. However, traditional CFD methods are computationally intensive, requiring substantial hardware…

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

Obtaining accurate estimates of uncertainty in climate scenarios often requires generating large ensembles of high-resolution climate simulations, a computationally expensive and memory intensive process. To address this challenge, we train…

Machine Learning · Computer Science 2024-07-08 Johannes Meuer , Maximilian Witte , Tobias Sebastian Finn , Claudia Timmreck , Thomas Ludwig , Christopher Kadow

Diffusion models have recently achieved remarkable performance in image super-resolution (SR), but their high computational cost limits practical deployment in remote sensing applications. To address this issue, we propose SlimDiffSR, a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Ce Wang , Zhenyu Hu , Wanjie Sun

Inverse problems aim to determine parameters from observations, a crucial task in engineering and science. Lately, generative models, especially diffusion models, have gained popularity in this area for their ability to produce realistic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Gabriel della Maggiora , Luis Alberto Croquevielle , Nikita Deshpande , Harry Horsley , Thomas Heinis , Artur Yakimovich

Kilometer-scale Earth system models are essential for capturing local climate change. However, these models are computationally expensive and produce petabyte-scale outputs, which limits their utility for applications such as probabilistic…

Machine Learning · Computer Science 2026-01-22 Johannes Meuer , Maximilian Witte , Étiénne Plésiat , Thomas Ludwig , Christopher Kadow

Emulators, or reduced complexity climate models, are surrogate Earth system models that produce projections of key climate quantities with minimal computational resources. Using time-series modelling or more advanced machine learning…

Applications · Statistics 2024-03-05 Shahine Bouabid , Dino Sejdinovic , Duncan Watson-Parris

As one of the most popular and sought-after generative models in the recent years, diffusion models have sparked the interests of many researchers and steadily shown excellent advantage in various generative tasks such as image synthesis,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Zhiyuan Ma , Yuzhu Zhang , Guoli Jia , Liangliang Zhao , Yichao Ma , Mingjie Ma , Gaofeng Liu , Kaiyan Zhang , Jianjun Li , Bowen Zhou

As tropical cyclones become more intense due to climate change, the rise of Al-based modelling provides a more affordable and accessible approach compared to traditional methods based on mathematical models. This work leverages generative…

Atmospheric and Oceanic Physics · Physics 2024-07-31 Pritthijit Nath , Pancham Shukla , Shuai Wang , César Quilodrán-Casas

The response of the climate system to increased greenhouse gases and other radiative perturbations is governed by a combination of fast and slow feedbacks. Slow feedbacks are typically activated in response to changes in ocean temperatures…

A constructive approach to theory of diffusion processes is proposed, which is based on application of both the symmetry analysis and method of modelling functions. An algorithm for construction of the modelling functions is suggested. This…

Data Analysis, Statistics and Probability · Physics 2009-11-13 A. G. Nikitin , S. V. Spichak , Yu. S. Vedula , A. G. Naumovets
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